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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 188 (page 953)

Add $\frac{8}{27} + \frac{7}{18}$ .

Short Answer

Expert verified

The sum is $\frac{37}{54}$ .

Step by step solution

01

Given Information

The Given expression is $\frac{8}{27} + \frac{7}{18}$ .

02

Find the LCD of denominators.

Factor the denominators.

$27 = 3 脳 3 脳 3$

$18 = 2 脳 3 脳 3$

LCD $= 2 脳 3 脳 3 脳 3$

LCD $= 54$

03

Rewrite each fraction as an equivalent fraction with the LCD.

$= \frac{8 路 2}{27 路 2} + \frac{7 路 3}{18 路 3}$

$= \frac{16}{54} + \frac{21}{54}$

04

Add

Take common denominator.

$= \frac{16 + 21}{54}$

$= \frac{37}{54}$

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