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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 185 (page 953)

Add $\frac{5}{24} + \frac{11}{36}$ .

Short Answer

Expert verified

The sum is $\frac{37}{72}$ .

Step by step solution

01

Given Information

The Given expression is $\frac{5}{24} + \frac{11}{36}$ .

02

Find the LCD of denominators.

Factor the denominators.

$24 = 2 \times 2 \times 2 \times 3$

$36 = 2 \times 2 \times 3 \times 3$

LCD $= 2 \times 2 \times 2 \times 3 \times 3$

LCD= $72$

03

Rewrite each fraction as an equivalent fraction with the LCD.

$= \frac{5 \cdot 3}{24 \cdot 3} + \frac{11 \cdot 2}{36 \cdot 2}$

$= \frac{15}{72} + \frac{22}{72}$

04

Add

Take common denominator.

$\frac{15 + 22}{72}$

$= \frac{37}{72}$

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Most popular questions from this chapter

Simplify

In the following exercises, use either method.

$\frac{\frac{3}{4} - \frac{2}{7}}{\frac{1}{2} + \frac{5}{14}}$

In the following exercises, solve.

$\frac{2}{s + 7} - \frac{3}{s - 3} = 1$

Ironing Lenore can do the ironing for her family’s business in h hours. Her daughter would take h + 2 hours to get the ironing done. If Lenore and her daughter work together, using 2 irons, the number of hours it would take them to do all the ironing is $\frac{1}{\frac{1}{h} + \frac{1}{h + 2}}$ .

Simplify the complex fraction $\frac{1}{\frac{1}{h} + \frac{1}{h + 2}}$ .
Find the number of hours it would take Lenore and her daughter, working together, to get the ironing done if $h = 4$ .

In the following exercises, simplify.

$\frac{3 c - 9}{5 c - 15}$

Solve :

$\frac{1}{x - 1} = \frac{2}{3 x}$

See all solutions

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