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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 189 (page 953)

Add $\frac{7}{10 x^{2} y} + \frac{4}{15 x y^{2}}$ .

Short Answer

Expert verified

The sum is $\frac{21 y + 8 x}{30 x^{2} y^{2}}$ .

Step by step solution

01

Given Information

The Given expression is $\frac{7}{10 x^{2} y} + \frac{4}{15 x y^{2}}$ .

02

Find the LCD of denominators.

Factor the denominators.

$10 x^{2} y = 2 脳 5 脳 x 脳 x 脳 y$

$15 x y^{2} = 3 脳 5 脳 x 脳 y 脳 y$

LCD $= 2 脳 3 脳 5 脳 x 脳 x 脳 y 脳 y$

LCD $= 30 x^{2} y^{2}$

03

Rewrite each fraction as an equivalent fraction with the LCD.

$= \frac{7 路 3 y}{10 x^{2} y 路 3 y} + \frac{4 路 2 x}{15 x y^{2} 路 2 x}$

$= \frac{21 y}{30 x^{2} y^{2}} + \frac{8 x}{30 x^{2} y^{2}}$

04

Add

Take common denominator.

$= \frac{21 y + 8 x}{30 x^{2} y^{2}}$

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Most popular questions from this chapter

Janice is traveling to Canada and will change \(250 US dollars into Canadian dollars. At the current exchange rate, \)1 US is equal to $1.01 Canadian. How many Canadian dollars will she get for her trip?

Solve :

$\frac{3}{5 n + 1} = \frac{2}{3 n}$

Solve Proportions

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

. In this section, you learned to simplify the complex fraction $\frac{\frac{3}{x + 2}}{\frac{x}{x^{2} - 4}}$

two ways: rewriting it as a division problem multiplying the numerator and denominator by the LCD Which method do you prefer? Why?

In the following exercises, solve.

$\frac{5}{2} - \frac{1}{c} = \frac{3}{4}$

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