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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 7: Q. 77 (page 667)

In the following exercises, add.
$\frac{3 c}{4 c - 5} + \frac{5}{4 c - 5}$

Short Answer

Expert verified

The simplified form is $\frac{3 c + 5}{4 c - 5}$ .

Step by step solution

01

Step 1. Given Information

The given expression is $\frac{3 c}{4 c - 5} + \frac{5}{4 c - 5}$

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.

$\frac{3 c + 5}{4 c - 5}$

Since the numerator and denominator in the obtained expression cannot be factored further, it represents the simplified form.

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Most popular questions from this chapter

For the following exercises, perform the indicated operations. $\frac{10 m^{2} + 80 m}{3 m - 9} . \frac{m^{2} + 4 m - 21}{m^{2} - 9 m + 20} \div \frac{5 m^{2} + 10 m}{2 m - 10}$

In the following exercise, perform the indicated operation:

$\frac{2 b}{b - 5} + \frac{3}{2 b} - \frac{2 b - 15}{2 b^{2} - 10 b}$

Solve the proportion $\frac{56}{72} = \frac{y}{9}$ .

In the following exercises, find the domain of each function.

$R (x) = \frac{8 x^{2} - 32 x}{2 x^{2} - 6 x - 80}$

Solve the proportion $\frac{x}{56} = \frac{7}{8}$ .

See all solutions

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