Dividing Fractions Exercises

Site: Saylor Academy
Course: RWM101: Foundations of Real World Math copy 1
Book: Dividing Fractions Exercises
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Date: Tuesday, May 13, 2025, 10:41 PM

Description

Table of contents

Dividing Fractions

Problem Set 1

Perform each division operation.

  1. \(3 \div \dfrac{2}{5}= \text{______}\)

  2. \(\dfrac{5}{8} \div \dfrac{3}{4}=  \text{______}\)

  3. \(\dfrac{3}{10} \div \dfrac{1}{2} \div \dfrac{6}{5}= \text{______}\)

  4. \(\dfrac{8}{7} \div 4= \text{______}\)

  5. \(\dfrac{2}{3} \div \dfrac{5}{9}= \text{______}\)

  6. \(\dfrac{11}{2} \div 10 \div \dfrac{5}{4}= \text{______}\)


Problem Set 2

Perform each division operation.

  1. \(10 \div \dfrac{5}{3}= \text{______}\)

  2. \(\dfrac{7}{12} \div \dfrac{5}{4}= \text{______}\)

  3. \(\dfrac{3}{10} \div 2 \div \dfrac{9}{10}= \text{______}\)

  4. \(\dfrac{4}{9} \div 12= \text{______}\)

  5. \(\dfrac{20}{7} \div \dfrac{15}{14}= \text{______}\)

  6. \(\dfrac{5}{18} \div \dfrac{4}{9} \div \dfrac{7}{8}= \text{______}\)


Problem Set 3

Perform each division operation.


  1. \(\dfrac{8}{3} \div 6= \text{______}\)

  2. \(\dfrac{1}{2} \div \dfrac{2}{3}= \text{______}\)

  3. \(\dfrac{4}{3} \div \dfrac{2}{9} \div 2= \text{______}\)

  4. \(18 \div \dfrac{9}{10}= \text{______}\)

  5. \(\dfrac{33}{16} \div \dfrac{11}{12}= \text{______}\)

  6. \(\dfrac{13}{15} \div \dfrac{3}{20} \div \dfrac{26}{3}= \text{______}\)


Source: Algebra2Go, https://www.saddleback.edu/faculty/Lperez/Algebra2Go/prealgebra/fractions/fractionDiv.html
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Answers

Problem Set 1

  1. \(15/2\)

  2. \(5/6\)

  3. \(1 / 2\)

  4. \(2 / 7 \)

  5. \(6 / 5\)

  6. \(11/25\)


Problem Set 2

  1. \(6\)

  2. \(7 / 15\)

  3. \(1 / 6\)

  4. \(1 / 27\)

  5. \( 8/3\)

  6. \(5 /7\)


Problem Set 3

  1. \(4 / 9\)

  2. \(3 / 4\)

  3. \(3\)

  4. \(20\)

  5. \(9 / 4\)

  6. \(2 / 3\)