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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 1: Q 172. (page 52)

Simplify.
$\frac{- \frac{3}{8}}{- \frac{y}{12}}$

Short Answer

Expert verified

The value of the given expression is $\frac{9}{2 y}$ .

Step by step solution

01

Step 1. Given information

Consider the expression.

$\frac{- \frac{3}{8}}{- \frac{y}{12}}$

02

Step 2. Rewrite the given expression as division.

$\frac{- \frac{3}{8}}{- \frac{y}{12}} = - \frac{3}{8} 梅 (- \frac{y}{12})$

03

Step 3. Apply the Fraction Division Formula:ab÷cd=ab·dc, where b≠0, c≠0, and d≠0.

$\frac{- \frac{3}{8}}{- \frac{y}{12}} = - \frac{3}{8} 路 (- \frac{12}{y})$

04

Step 4. Determine the sign of the product and then simplify.

The sign of the product are the same. So, the product will be positive.

$\begin{array}{rcl} \frac{- \frac{3}{8}}{- \frac{y}{12}} & = & \frac{3}{8} 路 \frac{12}{y} \\ = & \frac{3}{2 路 4} 路 \frac{3 路 4}{y} \\ = & \frac{9}{2 y} \end{array}$

Hence, the value is $\begin{array}{rcl} \frac{9}{2 y} \end{array}$ .

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Most popular questions from this chapter

Lauren has dimes and nickels in her purse. The number of dimes is three more than seven times the number of nickels. Let n represent the number of nickels. Write an expression for the number of dimes.

In the following exercises, simplify each expression.

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Fill in $<$ , $>$ or $=$ for each of the following pairs of numbers:

(a) localid="1644070592762" $- 9__- |- 9|$

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(d)localid="1644070630416" $- (- 9)__|- 9|$

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