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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. 484 (page 108)

In the following exercise, simplify: $(a) \frac{3 a}{8} 梅 \frac{7}{12} (b) \frac{3 a}{8} - \frac{7}{12}$

Short Answer

Expert verified

Part (a) The solution is $\frac{9 a}{14} .$

Part (b) The solution is $\frac{9 a - 14}{24} .$

Step by step solution

01

Part (a) Step 1. Given information

Fraction: $\frac{3 a}{8} 梅 \frac{7}{12}$

02

Part (a) Step 2. Calculation

We have,

$\frac{3 a}{8} 梅 \frac{7}{12} = \frac{3 a}{8} . \frac{12}{7} = \frac{3 . a . 2 . 2 . 3}{2 . 2 . 2 . 7} = \frac{3 . a . 3}{2 . 7} = \frac{9 a}{14}$

Therefore, the solution is $\frac{9 a}{14} .$

03

Part (b) Step 1. Given information

Fraction: $\frac{3 a}{8} - \frac{7}{12}$

04

Part (b) Step 2. Calculation

We have,

$\frac{3 a}{8} - \frac{7}{12} LCD = 24 = \frac{3 a . 3}{8 . 3} - \frac{7 . 2}{12 . 2} = \frac{9 a}{24} - \frac{14}{24} = \frac{9 a - 14}{24}$

Therefore, the solution is $\frac{9 a - 14}{24} .$

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Most popular questions from this chapter

In the following exercise, divide: $- 24 梅 6$

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Translate the English phrase into an algebraic expression:

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Translation from Algebra to English.

$17 < 35$

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