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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. 1.167 (page 101)

Simplify: $(a) \frac{3 a}{4} - \frac{8}{9} (b) \frac{3 a}{4} . \frac{8}{9}$

Short Answer

Expert verified

Part (a) The solution is $\frac{27 a - 32}{36}$

Part (b) The solution is $\frac{2 a}{3}$

Step by step solution

01

Part (a) Step 1. Given information

Fraction: $\frac{3 a}{4} - \frac{8}{9}$

02

Part (a) Step 2. Calculation

We have,

$\frac{3 a}{4} - \frac{8}{9} = \frac{3 a . 9}{4 . 9} - \frac{8 . 4}{9 . 4} = \frac{27 a}{36} - \frac{32}{36} = \frac{27 a - 32}{36}$

Therefore, the solution is $\frac{27 a - 32}{36}$

03

Part (b) Step 1. Given information

Fraction: $\frac{3 a}{4} . \frac{8}{9}$

04

Part (b) Step 2. Calculation

We have,

$\frac{3 a}{4} . \frac{8}{9} = \frac{3 a . 8}{4.9} = \frac{3 . a . 2.2.2}{2.2.3.3} = \frac{2 a}{3}$

Therefore, the solution is $\frac{2 a}{3}$

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