Chapter 1: Q 1100. (page 195)

In the following exercises, simplify.
$\frac{- \frac{x}{6}}{- \frac{8}{9}}$

Short Answer

Expert verified

The required answer is $\frac{3 x}{16}$ .

Step by step solution

Step 1. Given information.

The given complex fraction is:

$\frac{- \frac{x}{6}}{- \frac{8}{9}}$

Step 2. Simplify the fraction.

$\frac{- \frac{x}{6}}{- \frac{8}{9}}$

Rewrite as division.

$(- \frac{x}{6}) \div (- \frac{8}{9})$

Multiply the first fraction by the reciprocal of the second.

role="math" localid="1648034431432" $(- \frac{x}{6}) \cdot (- \frac{9}{8})$

Since the signs are the same, the product is positive.

$\frac{x}{6} \cdot \frac{9}{8}$

Multiply and look for common factors.

$\frac{x}{2 \cdot 3} \cdot \frac{3 \cdot 3}{8}$

Divide out common factors and simplify,

$\frac{3 x}{16}$

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In the following exercises, simplify.
$\frac{- \frac{x}{6}}{- \frac{8}{9}}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Simplify the fraction.

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Short Answer

Step by step solution

Step 1. Given information.

Step 2. Simplify the fraction.

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In the following exercises, simplify.
$\frac{- \frac{x}{6}}{- \frac{8}{9}}$