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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 186 (page 953)

Add $\frac{7}{30} + \frac{13}{45}$ .

Short Answer

Expert verified

The sum is $\frac{47}{90}$ .

Step by step solution

01

Given Information

The Given expression is $\frac{7}{30} + \frac{13}{45}$ .

02

Find the LCD of denominators.

Factor the denominators.

$30 = 2 脳 3 脳 5$

$45 = 3 脳 3 脳 5$

LCD= $2 脳 3 脳 3 脳 5$

LCD= $90$

03

Rewrite each fraction as an equivalent fraction with the LCD.

$= \frac{7 路 3}{30 路 3} + \frac{13 路 2}{45 路 2}$

$= \frac{21}{90} + \frac{26}{90}$

04

Add

Take common denominator.

$= \frac{21 + 26}{90}$

$= \frac{47}{90}$

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Most popular questions from this chapter

Solve Proportions

$\frac{m + 90}{25} = \frac{m + 30}{15}$

Heart Rate At the gym, Carol takes her pulse for 10 seconds and counts 19 beats.

a) How many beats per minute is this?

b) Has Carol met her target heart rate of 140 beats per minute?

In the following exercises, simplify.

$\frac{12 p - 240}{5 p - 100}$

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Solve :

$1 - \frac{2}{a} = \frac{15}{a^{2}}$

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