Chapter 7: Q7.50TI (page 672)

Simplify the complex rational expression by writing it as division:
$\frac{\frac{3}{4} - \frac{1}{3}}{\frac{1}{8} + \frac{5}{6}}$

Short Answer

Expert verified

$\frac{10}{23}$

Step by step solution

Step 1. Given information.

The following complex rational expression is given:

$\frac{\frac{3}{4} - \frac{1}{3}}{\frac{1}{8} + \frac{5}{6}}$

Step 2. Simplification of the complex rational expression.

Find out the LCD, subtract the numerator terms and add the denominator terms:

$\frac{\frac{3.3}{4.3} - \frac{1.4}{3.4}}{\frac{1.3}{8.3} + \frac{5.4}{6.4}}$

Simplify the numerator and the denominator:

$\frac{\frac{9}{12} - \frac{4}{12}}{\frac{3}{24} + \frac{20}{24}} \frac{\frac{5}{12}}{\frac{23}{24}}$

Write as a division problem:

$\frac{5}{12} \div \frac{23}{24}$

Write as a product of the first with the reciprocal of the second:

$\frac{5}{12} . \frac{24}{23}$

Factor, cancel the common factors from the numerator and the denominator and then simplify:

$\frac{5}{12} . \frac{2.12}{23} \frac{10}{23}$

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Simplify the complex rational expression by writing it as division:
$\frac{\frac{3}{4} - \frac{1}{3}}{\frac{1}{8} + \frac{5}{6}}$

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 writing it as division:34-1318+56

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

Theoretical and Mathematical Physics

Decision Maths

Applied Mathematics

Pure Maths

Geometry

Calculus

Study anywhere. Anytime. Across all devices.

Simplify the complex rational expression by writing it as division:
$\frac{\frac{3}{4} - \frac{1}{3}}{\frac{1}{8} + \frac{5}{6}}$