# 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.

**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 \(\frac{6}{8}\) 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, \(\frac{6}{8}÷8\).**Step 2:** Write 8 as an improper fraction, \(\frac{6}{8}÷\frac{8}{1}\).**Step 3:** Invert the second fraction and multiply instead of dividing.

\(\frac{6}{8}×\frac{1}{8}=\frac{6×1}{8×8}=\frac{6}{64}\)

Step 4: Simplify the product. \(\frac{6}{64}=\frac{3}{32}\)

**Word Problems Involving Dividing Fractions – Example 2**

Alice uses \(\frac{4}{6}\) 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. \(\frac{4}{6}÷5\)**Step 2:** Write 5 as an improper fraction. \(\frac{4}{6}÷\frac{5}{1}\)**Step 3:** Invert the second fraction and multiply instead of dividing.

\(\frac{4}{6}×\frac{1}{5}=\frac{4×1}{6×5}=\frac{4}{30}\)**Step 4: **Simplify the product. \(\frac{4}{30}=\frac{2}{15}\)

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