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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 1: Q491. (page 95)

In the following exercises, simplify each expression.
$(\frac{8}{13} + \frac{5}{7}) + \frac{2}{7}$

Short Answer

Expert verified

The simplified expression is $1 \frac{8}{13}$ .

Step by step solution

01

Step 1. Given Information.

The given expression is $(\frac{8}{13} + \frac{5}{7}) + \frac{2}{7}$ .

02

Step 2. Notice that the last 2 terms have a common denominator, so change the grouping.

$(\frac{8}{13} + \frac{5}{7}) + \frac{2}{7} = \frac{8}{13} + (\frac{5}{7} + \frac{2}{7})$

03

Step 3. Add the fraction.

Simplify the fractions.

$\frac{8}{13} + (\frac{5}{7} + \frac{2}{7}) = \frac{8}{13} + (\frac{5 + 2}{7}) = \frac{8}{13} + (\frac{7}{7}) = \frac{8}{13} + 1 = \frac{8 + 13}{13} = \frac{21}{13} = 1 \frac{8}{13}$

04

Step 4. Conclusion.

The simplified form of the given expression is $1 \frac{8}{13}$ .

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