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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 8: Q 8.80 (page 945)

Add: $\frac{3}{8} + \frac{9}{20}$

Short Answer

Expert verified

The addition of rational expression is $\frac{33}{40}$ .

Step by step solution

01

Given Information

The given expression is , $\frac{3}{8} + \frac{9}{20}$

02

Simplify the expressions

8 can be written as $2 \times 2 \times 2$

20 can be written as $2 \times 2 \times 5$

The LCD of 8 and 20 is 40.

Rewrite each fraction as an equivalent fraction with the LCD.

role="math" localid="1648198209921" $= \frac{3 \times 5}{8 \times 5} + \frac{9 \times 2}{20 \times 2} = \frac{15}{40} + \frac{18}{40} Add the fraction s = \frac{33}{40}$

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