# How to Solve Word Problems Involving Multiplying Mixed Numbers?

In this step-by-step guide, you will learn how to solve word problems involving multiplying mixed numbers.

**A step-by-step guide to word problems involving multiplying mixed numbers**

Mixed numbers have a whole number and a fraction.

To multiply mixed numbers, follow these steps:**Step 1: **Write down the mixed number as an improper fraction.**Step 2:** Multiply the numerators.**Step 3: **Multiply the denominators.**Step 4:** Simplify the product if possible.

**Word Problem Involving Multiplying Mixed Numbers – Example 1**

Daniel and Kevin made ladders. Daniel’s ladder is \(7\) feet tall. Kevin’s ladder is \(2 \frac{3}{5}\) times as tall as Daniel’s. How tall is Kevin’s ladder?

**Solution:**

Since the Kevin’s ladder is \(2 \frac{3}{5}\) times as tall as Daniel’s, multiply \(2 \frac{3}{5}\) in \(7\).

\(2 \frac{3}{5}×7=\)?, \(2 \frac{3}{5}=\frac{(2×5)+3}{5}=\frac{13}{5}\)

Write \(7\) as an improper fraction. \(\frac{7}{1}\)

Multiply the numerators and the denominators. \(\frac{13}{5}×\frac{7}{1}=\frac{91}{5}\)

Simplify and write as a mixed number. \(\frac{91}{5}=18 \frac{1}{5}\)

**Word Problem Involving Multiplying Mixed Numbers – Example 2**

An office is \(16 \frac{2}{3}\) yards wide. Its length is \(4 \frac{1}{4}\) times as long as it is wide. How long is the length of the office?

**Solution:**

Since the length is \(4 \frac{1}{4}\) times as long as \(16 \frac{2}{3}\), multiply \(4 \frac{1}{4}\) in \(16 \frac{2}{3}\).

\(4 \frac{1}{4}×16 \frac{2}{3}=\)?, \(4 \frac{1}{4}=\frac{(4×4)+1}{4}=\frac{17}{4}, 16 \frac{2}{3}=\frac{(16×3)+2}{3}=\frac{50}{3}\)

Multiply the numerators and the denominators. \(\frac{17}{4}×\frac{50}{3}=\frac{850}{12}\)

Simplify and write as a mixed number. \(\frac{850}{12}=70 \frac{10}{12}=70 \frac{5}{6}\)

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