Chapter 11: Q7.56TI. (page 1069)

Simplify the complex rational expression by LCD:
$\frac{\frac{1}{4} + \frac{3}{8}}{\frac{1}{2} - \frac{5}{16}}$

Short Answer

Expert verified

$\frac{10}{3}$

Step by step solution

Step 1. Given information.

The following complex rational expression is given:

$\frac{\frac{1}{4} + \frac{3}{8}}{\frac{1}{2} - \frac{5}{16}}$

Step 2. Simplification of the rational expression.

The LCD of all the fractions in the whole expression is 16.

Multiply both the numerator and the denominator by 16:

$\frac{16 (\frac{1}{4} + \frac{3}{8})}{16 (\frac{1}{2} - \frac{5}{16})}$

Distribute:

$\frac{16 \cdot \frac{1}{4} + 16 \cdot \frac{3}{8}}{16 \cdot \frac{1}{2} - 16 \cdot \frac{5}{16}}$

Simplify:

$\frac{4 + 6}{8 - 5} \frac{10}{3}$

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Simplify the complex rational expression by LCD:
$\frac{\frac{1}{4} + \frac{3}{8}}{\frac{1}{2} - \frac{5}{16}}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Simplification of the rational expression.

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Simplify the complex rational expression by LCD:14+3812-516

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Simplification of the rational expression.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Statistics

Discrete Mathematics

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Theoretical and Mathematical Physics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Simplify the complex rational expression by LCD:
$\frac{\frac{1}{4} + \frac{3}{8}}{\frac{1}{2} - \frac{5}{16}}$