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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 7: Q. 75 (page 667)

In the following exercises, add.
$\frac{2}{15} + \frac{7}{15}$

Short Answer

Expert verified

The simplified expression is $\begin{array}{rcl} \frac{3}{5} \end{array}$ .

Step by step solution

01

Step 1. Given Information

The given expression is $\frac{2}{15} + \frac{7}{15}$ .

02

Step 2. Add the numerator

As the denominator is same for both the terms, add the numerator and place it over the common denominator.

$\begin{array}{rcl} \frac{2}{15} + \frac{7}{15} & = & \frac{2 + 7}{15} \\ = & \frac{9}{15} \end{array}$

03

Step 3. Represent in lowest terms

Factor the expression in the numerator and denominator then cancel out the common terms from numerator and denominator.

$\begin{array}{rcl} \frac{9}{15} & = & \frac{3 路 3}{3 路 5} \\ = & \frac{3}{5} \end{array}$

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