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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 187 (page 953)

Add $\frac{9}{20} + \frac{11}{30}$ .

Short Answer

Expert verified

The sum is $\frac{49}{60}$ .

Step by step solution

01

Given Information

The Given expression is $\frac{9}{20} + \frac{11}{30}$ .

02

Find the LCD of denominators.

Factor the denominators.

$20 = 2 脳 2 脳 5$

$30 = 3 脳 3 脳 5$

LCD $= 2 脳 2 脳 3 脳 5$

LCD $= 60$

03

Rewrite each fraction as an equivalent fraction with the LCD.

$= \frac{9 路 3}{20 路 3} + \frac{11 路 2}{30 路 2}$

$= \frac{27}{60} + \frac{22}{60}$

04

Add

Take common denominator.

$= \frac{27 + 22}{60}$

$= \frac{49}{60}$

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