Chapter 1: Q 168. (page 52)

Simplify.
$\frac{- \frac{9}{16}}{\frac{33}{40}}$

Short Answer

Expert verified

The value of the given expression is $- \frac{3}{4}$ .

Step by step solution

Step 1.Given information

Consider the expression.

$\frac{- \frac{9}{16}}{\frac{33}{40}}$

Step 2. Rewrite the given expression as division.

$\frac{- \frac{9}{16}}{\frac{33}{40}} = - \frac{9}{16} \div \frac{33}{40}$

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

$\frac{- \frac{9}{16}}{\frac{33}{40}} = (- \frac{9}{16}) \cdot \frac{40}{30}$

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

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

$\begin{array}{rcl} \frac{- \frac{9}{16}}{\frac{33}{40}} & = & - \frac{9}{16} \cdot \frac{40}{30} \\ = & - \frac{3 \cdot 3}{4 \cdot 4} \cdot \frac{4 \cdot 10}{3 \cdot 10} \\ = & - \frac{3}{4} \end{array}$

Hence, the value is $\begin{array}{rcl} - \frac{3}{4} \end{array}$ .

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Simplify.
$\frac{- \frac{9}{16}}{\frac{33}{40}}$

Short Answer

Step by step solution

Step 1.Given information

Step 2. Rewrite the given expression as division.

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

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

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Simplify.-9163340

Short Answer

Step by step solution

Step 1.Given information

Step 2. Rewrite the given expression as division.

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

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

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Applied Mathematics

Discrete Mathematics

Probability and Statistics

Pure Maths

Statistics

Study anywhere. Anytime. Across all devices.

Simplify.
$\frac{- \frac{9}{16}}{\frac{33}{40}}$