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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. 8.118 (page 971)

Solve:
$\frac{2}{3} + \frac{1}{5} = \frac{1}{x}$

Short Answer

Expert verified

$x = \frac{15}{13}$

Step by step solution

01

Step 1. Given information

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

02

Step 2. Solving the equation by cross multiplication

$\frac{2}{3} + \frac{1}{5} = \frac{1}{x} \frac{10 + 3}{15} = \frac{1}{x} \frac{13}{15} = \frac{1}{x} x = \frac{15}{13}$

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Most popular questions from this chapter

. 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.

$\frac{4}{5} + \frac{1}{4} = \frac{2}{v}$

In the following exercises, simplify.

$\frac{\frac{1}{2} + \frac{5}{6}}{\frac{2}{3} + \frac{7}{9}}$

Solve :

$\frac{2}{x + 5} - \frac{1}{x - 1} = 1$ .

In the following exercises, simplify.

$\frac{y^{2} - 2 y - 3}{y^{2} - 9}$

See all solutions

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