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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 8: Q. 365 (page 996)

In the following exercises, solve.
$\frac{x}{56} = \frac{7}{8}$

Short Answer

Expert verified

The simplification of $\frac{x}{56} = \frac{7}{8}$ is $x = 49$

Step by step solution

01

Step 1. Given Information

An expression:

$\frac{x}{56} = \frac{7}{8}$

02

Step 2. Isolate the variable.

To isolate the variable, multiply both sides by the LCD $56$

$56 (\frac{x}{56}) = \frac{7}{8} 脳 56$

03

Step 3. Simplify the expression

By simplification,

$x = \frac{7}{8} 脳 56 = 7 脳 7 = 49$

04

Step 4. Check the answer

To check our answer, we substitute into the original proportion.

$\frac{x}{56} = \frac{7}{8} \frac{49}{56} = \frac{7}{8} \frac{7}{8} = \frac{7}{8}$

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