Multiplying/Dividing Fractions Mixed Review - Multiply or divide - Show your work

Sep 23, 2026

Multiplying/Dividing Fractions Mixed Review provides practice problems on multiplying fractions and whole numbers, multiplying fractions by fractions, and dividing whole numbers and fractions. It includes additional work with dividing fractions by fractions and multiplying mixed numbers, plus real-world contexts using matcha powder and smoothie servings. A challenge problem focuses on error analysis, asking whether a student is correct and explaining the mistake using keep-change-flip reasoning, followed by an answer key.

LanguageEnglish

CategoryExam

FormatPDF

Pages4

Reading Time10 min

AccessFree to download

Part A—Multiply Fractions by Whole Numbers

Part B—Multiply Fractions by Fractions

Part C—Divide Whole Numbers and Fractions

Part D—Divide Fractions by Fractions

Part E—Multiply Mixed Numbers

Part F—Real-World Problems

Challenge Problem—Error Analysis

Name: Multiplying/Dividing Fractions Mixed Review Directions: Multiply or divide. Show your work. Simplify if possible. Part A—Multiply Fractions by Whole Numbers 1. 23 × 6 = 4. 172 × 9 = 2. 58 × 4 = 5. 49 × 3 = 3. 35 × 10 = 6. 1115 × 5 = Part B—Multiply Fractions by Fractions 7. 23 × 56 = 10. 152 × 67 = 8. 34 × 78 = 11. 79 × 314 = 9. 45 × 310 = 12.916 × 185 = Part C—Divide Whole Numbers and Fractions 13. 6 ÷ 13 = 16. 56 ÷ 2 = 14. 8 ÷ 14 = 17. 170 ÷ 5 = 15.34 ÷ 3 = 18.47 ÷ 2 = 1 Mashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at ](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)[www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com) Part D—Divide Fractions by Fractions 19. 34 ÷ 12 = 20. 56 ÷ 13 = 21. 25 ÷ 310 = 22. 172 ÷ 178 = Part E—Multiply Mixed Numbers 23. 1 23 × 2 12 = 24. 234 × 1 15 = Part F—Real-World Problems 25. A café uses 34 cup of matcha powder for one batch. They make 223 batches. How many cups of matcha powder do they use? cups 26. A smoothie station has 56 gallon of smoothie. Each serving is 112 gallon. How many full servings can they pour? servings Challenge Problem—Error Analysis 27. A student solved: 23 ÷ 34 Student work: ~~ ~~23 ÷ ~~ ~~34 = ~~ ~~32 x 43 = 126 = 2 a) Is the student correct? YES / NO b) If not, what is the correct answer? c) In one sentence, explain the mistake: 2 Mashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at ](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)[www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com) Answer Key Part A—Multiply Fractions by Whole Numbers 1. 4 2. 5/2 3. 6 4. 21/4 5. 4/3 6. 11/3 Part B—Multiply Fractions by Fractions 7. 5/9 8. 21/32 9. 6/25 10. 5/14 11. 1/6 12. 3/10 Part C—Divide Whole Numbers and Fractions 13. 18 14.32 15. 1/4 16. 5/12 17. 7/50 18. 2/7 Part D—Divide Fractions by Fractions 19. 3/2 20. 5/2 21.4/3 22. 3/2 Mashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at ](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)[www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com) 3 Part E—Multiply Mixed Numbers 23. 25/6 24. 33/10 Part F—Real-World Problems 25.2 cups 26. 10 servings Challenge Problem—Error Analysis a) YES b) 8/9 c) The student correctly used keep-change-flip: dividing by 3/4 means multiplying by 4/3, so 2/3 × 4/3 = 8/9 . 4 Mashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at ](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)[www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)

FAQs

What skills does Part A focus on?

Part A focuses on multiplying fractions by whole numbers. Students multiply and simplify when possible.

How do students handle division when dividing by a fraction?

The challenge problem uses keep-change-flip: dividing by a fraction means multiplying by its reciprocal, then simplifying.

What kinds of real-world problems are included?

Two word problems model using fractions in everyday situations: a café uses fractional amounts of matcha for multiple batches, and a smoothie station pours fractional servings from a limited amount.

Sep 23, 2026

Uploaded by WPS_1786070896