Fraction Division - Error Analysis (B)

Sep 23, 2026

Uploaded by Jake

Worksheets focused on correcting student mistakes in fraction division. Each item provides a student’s incorrect work for a division problem, then prompts learners to identify the mistake and write the correct solution. Common error types are emphasized, including failing to flip the divisor, not converting mixed numbers to improper fractions, not simplifying answers, and basic arithmetic slips. A challenge problem includes step-by-step diagnosis and correction with an answer key.

LanguageEnglish

CategoryExam

FormatPDF

Pages3

Reading Time8 min

AccessFree to download

Directions

Practice Problems

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Challenge Problem

Answer Key

Name: ______________________________________ Fraction Division—Error Analysis (B) Directions: Each problem below shows a student's work that contains an error. Find the mistake, explain it, and show the correct solution. Remember: Common errors: forgetting to flip the divisor, not simplifying the answer, not converting a mixed number to an improper fraction, or arithmetic mistakes. 1. ~~ ~~34 ÷ 13 Student's work: 3/4 × 1/3 = 3/12 = 1/4 What is the mistake? Correct answer: 2. 2 12 ÷ 12 Student's work: 1/2 ÷ 1/2 = 1 What is the mistake? Correct answer: 3. 56 ÷ 59 Student's work: 5/6 × 9/5 = 45/30 What is the mistake? Correct answer: ___________ 4. 45 ÷ 23 Student's work: 4/5 × 3/2 = 12/7 What is the mistake? Correct answer: Mashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com) 5. 23 ÷ 35 Student's work: 2/3 × 3/5 = 6/15 = 2/5 What is the mistake? Correct answer: 6. 58 ÷ 1 14 Student's work: 5/8 × 4/5 = 20/40 What is the mistake? Correct answer: 7. 2 34 ÷ 14 Student's work: 3/4 ÷ 1/4 = 3 What is the mistake? _______________________________________________ Correct answer: 8. 37 ÷ 25 Student's work: 3/7 × 5/2 = 15/9 = 5/3 What is the mistake? Correct answer: Challenge Problem Marcus solved 1½ ÷ 34 and got 12. His work: 1/2 ÷ 3/4 = 1/2 × 4/3 = 4/6 = 2/3 a) What mistake did Marcus make? b) Show the correct solution. ANSWER KEY Mashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com) 1.) "! ÷ \#! = 􀀡 􀀤􀀥 | Error: Forgot to flip—multiplied by the divisor instead of its reciprocal. 2.) 2 \#& ÷ \#& = 􀀤 | Error: Did not convert 2½ to an improper fraction (5/2) before dividing. 3.) (' ÷ )' = 􀀥 􀀤􀀪~~ ~~ | Error: Did not simplify the final answer. 45/30 = 3/2 (or 1½) . 4.) "' ÷ &! = 􀀥 􀀤􀀫~~ ~~ | Error: Arithmetic error: 5 × 2 = 10, not 7. Correct answer is 6/5 . 5.) &! ÷ !' = 􀀥 􀀤􀀬~~ ~~ | Error: Forgot to flip—multiplied by 3/5 instead of its reciprocal 5/3 . 6.) -' ÷ 1 \#" = 􀀤􀀪~~ ~~ | Error: Did not simplify the final answer. 20/40 = 1/2 . 7.) 2 "! ÷ \#" = 􀀥􀀥 | Error: Did not convert 2¾ to an improper fraction (11/4) before dividing. 8.) ! ÷ &' = 􀀥 􀀤􀀤􀀥 | Error: Arithmetic error: 7 × 2 = 14, not 9. Correct answer is 15/14 . 9.) Challenge Problem: a) Marcus didn't convert 1½ to 3/2 first. (He divided 1/2 instead of 3/2 . ) b) 2 (3/2 ÷ 3/4 = 3/2 × 4/3 = 12/6 = 2) Mashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)

FAQs

What kinds of mistakes are common in fraction division on this worksheet?

Common mistakes include forgetting to flip the divisor, not simplifying the result, not converting mixed numbers to improper fractions, and arithmetic errors.

For each problem, what steps are students asked to complete?

Students must find the mistake in the student’s work, explain it, and then show the correct solution.

What does the challenge problem ask for?

It asks what mistake Marcus made in dividing fractions and to show the correct solution steps afterward.

Sep 23, 2026

Uploaded by Jake