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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 169. (page 52)

Simplify.
$\frac{- \frac{4}{5}}{2}$

Short Answer

Expert verified

The value of the given expression is $- \frac{2}{5}$ .

Step by step solution

01

Step 1. Given information

Consider the expression.

$\frac{- \frac{4}{5}}{2}$

02

Step 2. Rewrite the given expression as division.

$\frac{- \frac{4}{5}}{2} = - \frac{4}{5} 梅 2$

03

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

$\frac{- \frac{4}{5}}{2} = (- \frac{4}{5}) 路 \frac{1}{2}$

04

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

The sign of the product are different. So, the product will be negative.

$\begin{array}{rcl} \frac{- \frac{4}{5}}{2} & = & - \frac{4}{5} 路 \frac{1}{2} \\ = & - \frac{2 路 2}{5} 路 \frac{1}{2} \\ = & - \frac{2}{5} \end{array}$

Hence, the value is $- \frac{2}{5}$ .

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