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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 1: Q. 500 (page 108)

In the following exercise, simplify: $\frac{5}{\frac{1}{4} + \frac{1}{3}}$

Short Answer

Expert verified

The solution is $\frac{60}{7}$ .

Step by step solution

01

Step 1. Given information

Fraction: $\frac{5}{\frac{1}{4} + \frac{1}{3}}$

02

Step 2. Calculation

We have,

$\frac{5}{\frac{1}{4} + \frac{1}{3}} LCD = 12 = \frac{5}{\frac{1 . 3}{4 . 3} + \frac{1 . 4}{3 . 4}} = \frac{5}{\frac{3}{12} + \frac{4}{12}} = \frac{5}{\frac{7}{12}} = \frac{5}{1} 梅 \frac{7}{12} = \frac{5}{1} . \frac{12}{7} = \frac{60}{7}$

Therefore, the solution is $\frac{60}{7} .$

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