Chapter 7: Q7.55TI. (page 675)

Simplify the complex rational expression by LCD:
$\frac{\frac{1}{2} + \frac{1}{5}}{\frac{1}{10} + \frac{1}{5}}$

Short Answer

Expert verified

$\frac{7}{3}$

Step by step solution

Step 1. Given information.

The following complex rational expression is given:

$\frac{\frac{1}{2} + \frac{1}{5}}{\frac{1}{10} + \frac{1}{5}}$

Step 2. Simplification of the complex rational expression.

The LCD of all the fractions in the whole expression is 10.

Clear the fraction by multiplying the numerator and the denominator by the LCD i.e., 10:

$\frac{10 . (\frac{1}{2} + \frac{1}{5})}{10 . (\frac{1}{10} + \frac{1}{5})}$

Distribute:

$\frac{10 . \frac{1}{2} + 10 . \frac{1}{5}}{10 . \frac{1}{10} + 10 . \frac{1}{5}}$

Simplify:

role="math" localid="1644719678072" $\frac{5 + 2}{1 + 2} \frac{7}{3}$

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Simplify the complex rational expression by LCD:
$\frac{\frac{1}{2} + \frac{1}{5}}{\frac{1}{10} + \frac{1}{5}}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Simplification of the complex rational expression.

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Simplify the complex rational expression by LCD:12+15110+15

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Simplification of the complex rational expression.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

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Study anywhere. Anytime. Across all devices.

Simplify the complex rational expression by LCD:
$\frac{\frac{1}{2} + \frac{1}{5}}{\frac{1}{10} + \frac{1}{5}}$