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How to Solve Word Problems Involving Dividing Fractions

This article provides a step-by-step guide for solving math word problems that involve the division of fractions.

How to Solve Word Problems Involving Dividing Fractions

A step-by-step guide to word problems involving dividing fractions

The word problems of fractions are made of a few sentences involving a real-life scenario and you must use the mathematical calculation of fraction formulas to solve a problem.

Here are easy steps to solve word problems involving dividing fractions:
Step 1: Use information and keywords to identify the problems.
Step 2: Invert the second fraction and multiply instead of dividing.
Step 3: Multiply the 2 numerators. Multiply the 2 denominators. If the problem contains mixed numbers, you must convert them to improper fractions first.
Step 4: Simplify the fraction if possible.

Word Problems Involving Dividing Fractions – Example 1

Karolina uses 68 of a jar of cherry jam to make eight muffins. What fraction of the jar of cherry jam does each muffin contain?

Solution:
Step 1: Divide the total amount of a used cherry jam by the number of muffins, 68÷8.
Step 2: Write 8 as an improper fraction, 68÷81.
Step 3: Invert the second fraction and multiply instead of dividing.
68×18=6×18×8=664
Step 4: Simplify the product. 664=332

Word Problems Involving Dividing Fractions – Example 2

Alice uses 46 of a roll of wrapping paper to wrap five presents. What fraction of the roll wrapping paper does each present use?

Solution:
Step 1: Divide the total amount of a roll of wrapping paper by the number of presents. 46÷5
Step 2: Write 5 as an improper fraction. 46÷51
Step 3: Invert the second fraction and multiply instead of dividing.
46×15=4×16×5=430
Step 4: Simplify the product. 430=215

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