MULTIPLYING AND DIVIDING FRACTIONS
Friday Review Worksheet
Name: _______________________________ Date: _______________ Class: _______________
Directions: Show all your work in the space provided. Simplify all answers to lowest terms and write improper fractions as mixed numbers when appropriate.
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SECTION A: Multiplying Fractions (Problems 1-5)
Multiply. Simplify your answer.
1) 1/2 × 3/5 = _______
2) 2/3 × 4/7 = _______
3) 5/6 × 3/10 = _______
4) 4 × 2/9 = _______
5) 2 1/4 × 1 1/3 = _______
SECTION B: Dividing Fractions (Problems 6-10)
Divide. Simplify your answer.
6) 1/2 ÷ 1/4 = _______
7) 3/5 ÷ 2/3 = _______
8) 6 ÷ 1/3 = _______
9) 7/8 ÷ 1/2 = _______
10) 3 1/2 ÷ 1 1/4 = _______
SECTION C: Word Problems (Problems 11-12)
11) Maria has 3/4 of a pizza left. She gives 2/3 of what's left to her brother.
What fraction of the whole pizza does her brother get?
Answer: _______________
12) A ribbon is 8 feet long. Mr. Lee cuts it into pieces that are each 2/3 of a foot long.
How many pieces of ribbon will he have?
Answer: _______________
SECTION D: CHALLENGE PROBLEMS (Problems 13-15)
Think carefully! These may take more than one step.
13) A recipe calls for 2 1/2 cups of flour to make one batch of cookies.
Jenna wants to make 3 1/2 batches. How much flour does she need in total?
Answer: _______________
14) Mr. Thompson had 4 2/3 pounds of trail mix. He wants to put it into small bags
that each hold 1/3 of a pound. How many full bags can he make, and how much
trail mix (if any) will be left over?
Answer: _______________
15) A rectangular garden is 5 1/4 feet long and 2 2/3 feet wide. One-half of the garden
is planted with tomatoes. What is the area, in square feet, of the tomato section?
Answer: _______________
=====================================================================
ANSWER KEY — Multiplying and Dividing Fractions
=====================================================================
SECTION A: Multiplying Fractions
1) 1/2 × 3/5 = 3/10
2) 2/3 × 4/7 = 8/21
3) 5/6 × 3/10 = 15/60 = 1/4
(Cross-simplify: 5/10 = 1/2, 3/6 = 1/2 → 1/2 × 1/2 = 1/4)
4) 4 × 2/9 = 8/9
5) 2 1/4 × 1 1/3
= 9/4 × 4/3
= 36/12
= 3
SECTION B: Dividing Fractions
6) 1/2 ÷ 1/4 = 1/2 × 4/1 = 4/2 = 2
7) 3/5 ÷ 2/3 = 3/5 × 3/2 = 9/10
8) 6 ÷ 1/3 = 6 × 3 = 18
9) 7/8 ÷ 1/2 = 7/8 × 2/1 = 14/8 = 1 6/8 = 1 3/4
10) 3 1/2 ÷ 1 1/4
= 7/2 ÷ 5/4
= 7/2 × 4/5
= 28/10
= 2 8/10
= 2 4/5
SECTION C: Word Problems
11) Find 2/3 of 3/4:
2/3 × 3/4 = 6/12 = 1/2
Her brother gets 1/2 of the whole pizza.
12) 8 ÷ 2/3 = 8 × 3/2 = 24/2 = 12
Mr. Lee will have 12 pieces of ribbon.
SECTION D: Challenge Problems
13) 2 1/2 × 3 1/2
= 5/2 × 7/2
= 35/4
= 8 3/4 cups of flour
14) 4 2/3 ÷ 1/3
= 14/3 ÷ 1/3
= 14/3 × 3/1
= 42/3
= 14
He can make 14 full bags with 0 pounds left over.
15) Step 1 — Find the area of the whole garden:
5 1/4 × 2 2/3 = 21/4 × 8/3 = 168/12 = 14 square feet
Step 2 — Find half of the area (the tomato section):
14 × 1/2 = 7
The tomato section is 7 square feet.
Create Custom Math Worksheets Instantly with AI
Tested prompts for ai math worksheet generator for teachers compared across 5 leading AI models.
You have a class to prep for, a standard to hit, and maybe 20 minutes to build a worksheet from scratch. That math just doesn't add up. AI math worksheet generators let teachers describe exactly what they need, grade level, skill focus, number of problems, difficulty curve, and get a complete, ready-to-edit worksheet in seconds rather than hunting through TPT or reformatting someone else's PDF.
This page shows you exactly how to prompt an AI model to produce a usable math worksheet, not a generic one. The difference is in how specific your input is. Teachers who get great results describe the standard they are targeting, the student level in real terms (not just 'grade 3'), the format they want (multiple choice, fill-in, word problems, mixed), and any context that matters like 'my students struggle with regrouping' or 'we just finished place value.'
Below you will find the tested prompt, four model outputs side by side, a comparison table, and everything you need to judge which approach fits your classroom. If you have never used AI to generate math worksheets before, the tips and examples section will save you several rounds of trial and error.
When to use this
This approach works best when you need differentiated materials fast, want to match a specific standard without starting from a blank page, or need to iterate on difficulty quickly across multiple class sections. It is especially strong when you have a clear instructional goal and can describe your students concretely.
- Generating tiered worksheets for three reading levels in the same math unit within one planning period
- Creating a quick 10-problem spiral review that targets the exact skills your class missed on last week's exit ticket
- Building word problem sets that reflect your students' real-world context, local geography, sports teams, or interests
- Producing substitute-ready practice packets on short notice without relying on whatever is in the workbook
- Drafting a homework sheet aligned to a specific Common Core or state standard you are introducing this week
When this format breaks down
- High-stakes assessment creation where psychometric validity and bias review are required. AI-generated items are not vetted for fairness or statistical reliability the way standardized test items are.
- Situations where your district or school has a locked curriculum with legal or contractual restrictions on supplemental materials. Some adoptions prohibit mixing outside resources.
- Highly visual or manipulative-dependent problems, like geometry proofs with specific diagrams or hands-on measurement tasks, where the AI output will need heavy formatting work before it is usable.
- When you need problems with verified difficulty calibration for placement or diagnostic purposes. AI models can misjudge cognitive load, especially at the upper elementary and middle school transition.
The prompt we tested
You are an experienced math teacher and worksheet designer. Generate a complete, classroom-ready math worksheet based on the teacher's request below. Follow these rules: Format the output as a printable worksheet with a title header (including space for student name, date, and class), clear section instructions, and 10-20 numbered problems of progressively increasing difficulty appropriate to the grade level and topic specified. After the worksheet, include a divider and a complete answer key with brief step-by-step solutions for any multi-step problems. Use plain text with proper spacing so it can be copied directly into Google Docs or Word. Teacher's request: Create a 5th grade math worksheet on multiplying and dividing fractions, including word problems. I want about 15 questions total, with the last 3 being challenge problems. This is for a Friday review before our unit test next week. Produce the worksheet now, followed by a clearly separated answer key.
Model comparison
| Model | Quality | Cost | Latency | Tokens |
|---|---|---|---|---|
| Claude Opus 4.7 | 9 | $0.1317 | 21.0s | 308 / 1694 |
| Claude Haiku 4.5 | 9 | $0.0105 | 12.6s | 211 / 2048 |
| GPT-5.4 | Not run yet | |||
| Gemini 2.5 Pro | Not run yet | |||
| Grok 4.1 Fast Reasoning | 9 | $0.0007 | 35.0s | 339 / 1193 |
Outputs
# MULTIPLYING AND DIVIDING FRACTIONS REVIEW
## 5th Grade Math Worksheet
**Student Name: ____________________________ Date: ______________**
**Class: ____________________________ Teacher: ______________**
---
## SECTION 1: MULTIPLYING FRACTIONS (Multiply numerators and denominators)
**Directions:** Multiply the fractions. Simplify your answers to lowest terms.
1. 1/2 × 3/4 = _______
2. 2/3 × 1/5 = _______
3. 3/4 × 2/5 = _______
4. 1/3 × 1/6 = _______
5. 4/5 × 3/8 = _______
---
## SECTION 2: DIVIDING FRACTIONS (Multiply by the reciprocal)
**Directions:** Divide the fractions. Remember to flip the second fraction and multiply. Simplify your answers.
6. 1/2 ÷ 1/4 = _______
7. 3/5 ÷ 1/2 = _______
8. 2/3 ÷ 4/5 = _______
9. 5/6 ÷ 1/3 = _______
10. 3/4 ÷ 2/3 = _______
---
## SECTION 3: WORD PROBLEMS
**Directions:** Read each problem carefully. Show your work and write your answer as a simplified fraction or mixed number.
11. Maria has 3/4 of a pound of flour. She uses 2/3 of the flour to make cookies. How much flour does she use?
**Work:**
**Answer:** _______________________
12. A recipe calls for 2/3 cup of sugar. If you want to make 1/2 of the recipe, how much sugar do you need?
**Work:**
**Answer:** _______________________
13. James has 4 pizzas. He divides them equally among 6 friends. How much pizza does each friend get? (Write as a fraction in lowest terms)
**Work:**
**Answer:** _______________________
14. A board is 5/8 of a meter long. How many pieces 1/4 meter long can be cut from the board?
**Work:**
**Answer:** _______________________
---
## SECTION 4: CHALLENGE PROBLEMS
**Directions:** These problems require extra thinking. Show all your work clearly.
15. **Challenge Problem 1:** If you multiply 2/5 by a fraction and get 6/20, what is the mystery fraction?
**Work:**
**Answer:** _______________________
16. **Challenge Problem 2:** Tom eats 1/3 of a pizza. His sister eats 1/4 of the same pizza. Together, they divide what's left equally with their mom. How much pizza does the mom get?
**Work:**
**Answer:** _______________________
17. **Challenge Problem 3:** A baker makes 8 batches of cookies. Each batch uses 3/4 cup of butter. How much butter does the baker use in total? (Hint: Think of 8 as 8/1)
**Work:**
**Answer:** _______________________
---
---
# ANSWER KEY: MULTIPLYING AND DIVIDING FRACTIONS REVIEW
**SECTION 1: MULTIPLYING FRACTIONS**
1. **1/2 × 3/4 = 3/8**
- Multiply: (1 × 3)/(2 × 4) = 3/8
- Already in lowest terms
2. **2/3 × 1/5 = 2/15**
- Multiply: (2 × 1)/(3 × 5) = 2/15
- Already in lowest terms
3. **3/4 × 2/5 = 6/20 = 3/10**
- Multiply: (3 × 2)/(4 × 5) = 6/20
- Simplify by dividing by 2: 3/10
4. **1/3 × 1/6 = 1/18**
- Multiply: (1 × 1)/(3 × 6) = 1/18
- Already in lowest terms
5. **4/5 × 3/8 = 12/40 = 3/10**
- Multiply: (4 × 3)/(5 × 8) = 12/40
- Simplify by dividing by 4: 3/10
---
**SECTION 2: DIVIDING FRACTIONS**
6. **1/2 ÷ 1/4 = 2**
- Flip second fraction: 1/2 × 4/1
- Multiply: (1 × 4)/(2 × 1) = 4/2 = 2
7. **3/5 ÷ 1/2 = 6/5 or 1 1/5**
- Flip second fraction: 3/5 × 2/1
- Multiply: (3 × 2)/(5 × 1) = 6/5
- Convert to mixed number: 1 1/5
8. **2/3 ÷ 4/5 = 10/12 = 5/6**
- Flip second fraction: 2/3 × 5/4
- Multiply: (2 × 5)/(3 × 4) = 10/12
- Simplify by dividing by 2: 5/6
9. **5/6 ÷ 1/3 = 15/6 = 5/2 or 2 1/2**
- Flip second fraction: 5/6 × 3/1
- Multiply: (5 × 3)/(6 × 1) = 15/6
- Simplify by dividing by 3: 5/2 or 2 1/2
10. **3/4 ÷ 2/3 = 9/8 or 1 1/8**
- Flip second fraction: 3/4 × 3/2
- Multiply: (3 × 3)/(4 × 2) = 9/8
- Convert to mixed number: 1 1/8
---
**SECTION 3: WORD PROBLEMS**
11. **Maria uses 1/2 pound of flour**
- Find 2/3 of 3/4
- Multiply: 2/3 × 3/4 = 6/12 = 1/2
- Answer: 1/2 pound
12. **You need 1/3 cup of sugar**
- Find 1/2 of 2/3
- Multiply: 1/2 × 2/3 = 2/6 = 1/3
- Answer: 1/3 cup
13. **Each friend gets 2/3 of a pizza**
- Divide 4 pizzas among 6 friends: 4 ÷ 6 = 4/6
- Simplify by dividing by 2: 2/3
- Answer: 2/3 pizza
14. **5 pieces can be cut from the board**
- Divide: 5/8 ÷ 1/4
- Flip second fraction: 5/8 × 4/1
- Multiply: (5 × 4)/(8 × 1) = 20/8 = 5/2
- Answer: 5/2 or 2 1/2 pieces (2 whole pieces with 1/2 piece remaining)
---
**SECTION 4: CHALLENGE PROBLEMS**
15. **The mystery fraction is 3/5**
- Set up: 2/5 × ? = 6/20
- Simplify 6/20 to 3/10
- So: 2/5 × ? = 3/10
- Flip and divide: ? = 3/10 ÷ 2/5
- ? = 3/10 × 5/2 = 15/20 = 3/4
**OR:** Work backwards by dividing 6/20 by 2/5
- 6/20 ÷
```
Multiplying and Dividing Fractions Review Worksheet
Friday Review Before Unit Test
Name: _____________________________________ Date: ________________ Class: _______________
Instructions: Solve each problem below. Show all your work, including how you multiply or divide fractions (remember to simplify when possible). Write your answers as proper fractions, improper fractions, or mixed numbers.
Part 1: Multiplying Fractions (1-6)
1. 4 × 1/5 =
2. 3/8 × 4 =
3. 2/3 × 3/4 =
4. 5/6 × 2/5 =
5. 2 1/4 × 2 =
6. 1 1/3 × 3 1/2 =
Part 2: Dividing Fractions (7-12)
7. 1/2 ÷ 1/4 =
8. 6 ÷ 2/3 =
9. 3/4 ÷ 2 =
10. 5/6 ÷ 3/4 =
11. 3 1/3 ÷ 1 1/2 =
12. 4 1/2 ÷ 1 1/3 =
Part 3: Challenge Word Problems (13-15)
13. A chef has 3 1/2 pounds of apples and uses 2/3 pound for each pie. How many pies can the chef make? (Hint: Divide.)
14. A recipe calls for 2 1/2 cups of flour for the full batch. If you make 3/4 of the recipe, how much flour do you need? (Hint: Multiply.)
15. A cyclist rides 5/6 mile every 1/4 hour. How far does the cyclist ride in 1 hour? (Hint: First find speed in miles per hour by dividing, then multiply by 1 hour.)
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---
**ANSWER KEY**
**Part 1: Multiplying Fractions**
1. 4 × 1/5 = 4/5
2. 3/8 × 4 = 12/8 = 3/2 = 1 1/2
(Steps: 3/8 × 4/1 = 12/8, simplify by dividing numerator and denominator by 4.)
3. 2/3 × 3/4 = 6/12 = 1/2
4. 5/6 × 2/5 = 10/30 = 1/3
5. 2 1/4 × 2 = (9/4) × 2/1 = 18/4 = 9/2 = 4 1/2
(Steps: Convert mixed to improper: 2 1/4 = 9/4.)
6. 1 1/3 × 3 1/2 = (4/3) × (7/2) = 28/6 = 14/3 = 4 2/3
(Steps: Convert mixed numbers: 1 1/3 = 4/3, 3 1/2 = 7/2.)
**Part 2: Dividing Fractions**
7. 1/2 ÷ 1/4 = 1/2 × 4/1 = 4/2 = 2
8. 6 ÷ 2/3 = 6 × 3/2 = 18/2 = 9
9. 3/4 ÷ 2 = 3/4 × 1/2 = 3/8
10. 5/6 ÷ 3/4 = 5/6 × 4/3 = 20/18 = 10/9 = 1 1/9
11. 3 1/3 ÷ 1 1/2 = (10/3) ÷ (3/2) = 10/3 × 2/3 = 20/9 = 2 2/9
(Steps: Convert mixed: 3 1/3 = 10/3, 1 1/2 = 3/2.)
12. 4 1/2 ÷ 1 1/3 = (9/2) ÷ (4/3) = 9/2 × 3/4 = 27/8 = 3 3/8
(Steps: Convert mixed: 4 1/2 = 9/2, 1 1/3 = 4/3.)
**Part 3: Challenge Word Problems**
13. 3 1/2 ÷ 2/3 = (7/2) ÷ (2/3) = 7/2 × 3/2 = 21/4 = 5 1/4 pies
(Steps: Convert 3 1/2 to 7/2, then keep-change-flip.)
14. 2 1/2 × 3/4 = (5/2) × 3/4 = 15/8 = 1 7/8 cups
(Steps: Convert 2 1/2 to 5/2.)
15. First, speed = 5/6 ÷ 1/4 = 5/6 × 4/1 = 20/6 = 10/3 miles per hour.
Then, in 1 hour: 10/3 × 1 = 10/3 miles (or 3 1/3 miles).
(Steps: Divide to find rate, then multiply by time.)
What makes these work
-
01Name the standard, not just the topic
Saying '6th-grade fractions' gives the AI too much room to interpret. Citing '5.NF.B.4, multiplying fractions by whole numbers' locks the output to exactly what you are teaching. Models trained on educational content recognize standard codes and produce problems that fit the actual scope of that standard, which means less editing after the fact.
-
02Describe your students, not just the grade
Grade level is a starting point, not a description. Adding one line like 'my students have strong procedural skills but struggle with word problems' or 'this is an accelerated group finishing the unit early' changes the output significantly. AI models adjust vocabulary, context complexity, and scaffolding when you give them a real picture of the room.
-
03Specify format and layout details explicitly
If you need a name line, a specific number of problems per row, an answer key, or a 'show your work' box, say so. The model will not guess your preferred layout. Teachers who include layout instructions in their prompt get printer-ready output. Those who skip it spend time reformatting.
-
04Ask for a difficulty gradient, not flat difficulty
A worksheet that moves from simple to complex within a single skill keeps more students engaged and gives you useful formative information. Ask for problems in three bands: straightforward application, moderate challenge, and one or two stretch problems. This also makes the same sheet usable for both on-level and advanced students in a mixed class.
More example scenarios
Create a 20-problem multiplication worksheet for 3rd graders practicing the 6s, 7s, and 8s times tables. Mix horizontal and vertical formats. Include a small answer key at the bottom separated by a line. No word problems. Label it 'Multiplication Practice: 6s, 7s, and 8s' and add a name and date line at the top.
A worksheet titled 'Multiplication Practice: 6s, 7s, and 8s' with a name/date header, 20 problems split between horizontal equations like '6 x 7 =' and vertical stack format, distributed across the three fact families, followed by a ruled separator and a two-column answer key listing problem numbers and correct products.
Write 8 word problems for 6th graders on ratios and proportional relationships, CCSS 6.RP.A.1 and 6.RP.A.2. Set the problems in a school store context. Vary difficulty so the first 4 are straightforward and the last 4 require multi-step thinking. Include a worked example at the top showing how to set up a ratio.
A worksheet with a header noting the standard, a worked example showing how to express a ratio of pencils to erasers in three forms (fraction, colon, word), followed by 8 word problems. Problems 1-4 ask students to identify and simplify ratios from school store inventory scenarios. Problems 5-8 require finding unit rates, scaling orders, and comparing two pricing options.
Generate a scaffolded worksheet for Algebra 1 students on solving two-step equations. Start with 5 problems where the variable is isolated in two obvious steps, then 5 problems with negative coefficients, then 4 problems with fractions. Add a 'Show Your Work' box next to each problem. Include a common error warning at the top about sign mistakes.
Worksheet opens with a highlighted box: 'Watch Out: Flipping signs when dividing by a negative is the most common mistake here. Check every step.' Three sections follow, each labeled by difficulty. Section A has clean integer two-steppers. Section B introduces problems like -3x + 7 = -14. Section C uses equations with fractional coefficients. Each problem has a ruled work box to the right of the equation.
Make a simple number recognition and counting worksheet for kindergartners, numbers 1-10. Include a section where they trace the number, a section where they draw that many objects, and a section where they circle the correct number of objects in a group. Keep it visually spacious with large font. One number per row.
A ten-row worksheet with generous spacing. Each row shows a large dotted numeral for tracing, a blank drawing box labeled 'Draw [number] things,' and a simple clip-art-style group of objects where students circle the correct quantity. Font size is 24pt or larger for all numerals. Layout is clean enough to print and use without any editing.
Create a fraction worksheet for 5th-grade students receiving resource room support. Focus only on adding fractions with like denominators, 10 problems. Use a visual fraction bar above each problem so students can see the parts. Keep directions in short, simple sentences. Add a 'Remember' box that says fractions need the same denominator before adding.
Worksheet begins with a yellow-highlighted 'Remember' box: 'The bottom numbers must be the same before you add.' Each of the 10 problems is paired with a pre-drawn fraction bar model divided into the correct number of parts, with shading cues. Problems increase from simple halves and thirds to sixths and eighths. Directions are one sentence each, written at a 3rd-grade reading level.
Common mistakes to avoid
-
Vague grade-level language
Prompts that say only '4th grade math worksheet' produce generic output that may not match your curriculum sequence, pacing, or the standard you are actually teaching this week. Always tie your prompt to the specific skill or standard. Vague input is the single biggest reason teachers get worksheets they cannot use.
-
Skipping answer verification
AI models occasionally produce arithmetic errors, especially in multi-step problems, fraction operations, or anything involving negative numbers. Always spot-check the answer key before distributing. A worksheet with a wrong answer key is worse than no answer key, because students and parents will catch it and it undermines your credibility.
-
Generating without specifying problem count
If you do not say how many problems you want, models default to whatever they judge as appropriate, which is often either too few for a full practice session or too many for a single class period. State the exact number. '15 problems' is clearer than 'enough for a class period.'
-
Ignoring the formatting needs of your printer
AI outputs are text. If you are copying output into a doc and printing directly, tables and special characters sometimes break. Ask the model to format for plain text or specify the document type you will paste into. Teachers who paste into Google Docs and print without checking often find spacing issues that make the sheet look unprofessional.
-
Reusing the same generic prompt every time
A prompt that worked well for a multiplication drill will not produce a good geometry worksheet or a strong word problem set without modification. Build a small library of prompt templates for different worksheet types, each one tuned to that format's specific requirements. One-size prompts produce one-size output.
Related queries
Frequently asked questions
Which AI tool is best for generating math worksheets for teachers?
Several general-purpose models, including GPT-4o, Claude, and Gemini, produce strong math worksheet output when given a well-structured prompt. The difference in quality between models is smaller than the difference between a vague prompt and a specific one. Purpose-built tools like Khanmigo or MagicSchool.ai add worksheet-specific formatting features if you prefer a dedicated interface, but the underlying generation quality is comparable.
Can AI generate math worksheets aligned to Common Core or state standards?
Yes, and alignment improves significantly when you include the standard code in your prompt rather than just the topic. Models recognize standard codes like 3.OA.C.7 or 8.EE.B.5 and adjust the scope, vocabulary, and problem structure accordingly. Always cross-check the output against the standard's full description since models occasionally miss edge cases within a standard's range.
Is AI-generated worksheet content accurate enough to trust in the classroom?
For most elementary and middle school content, accuracy is high but not perfect. Errors are most common in multi-step problems, fractions with unlike denominators, and negative number operations. Make it a habit to verify the answer key on every worksheet before printing. The time saved generating the worksheet far exceeds the time spent on a quick accuracy check.
How do I differentiate worksheets for multiple levels using AI?
Run the same base prompt three times with one change each time: the difficulty descriptor. Label them Below Grade Level, On Grade Level, and Advanced, and describe how the problem types should shift for each. For example, on-level might use whole numbers, while advanced uses decimals in the same operation. You can produce all three versions in under five minutes and print them on different colored paper for easy distribution.
Can AI create word problems that match my students' interests or local context?
This is one of the strongest use cases for AI worksheet generation. Adding a line like 'set word problems in a baseball statistics context' or 'use our city, Austin, and local landmarks as settings' produces word problems that are more engaging and culturally relevant than textbook problems. Students notice when problems feel written for them, and it raises engagement on routine practice.
How do I get the AI to include an answer key without it cluttering the worksheet?
Ask explicitly for the answer key to appear on a separate page or after a clear visual divider. A prompt line like 'put the answer key on page 2, separated from the student worksheet by a page break, listing problem numbers and answers only' will produce a clean separation. If you are pasting into a doc, you can also ask for the answer key in a separate block at the end of the output and delete or move it manually.