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

Step 1. Given information

Consider the expression.

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

Step 2. Rewrite the given expression as division.

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

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

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

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.

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

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

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

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

Short Answer

Step by step solution

Step 1. Given information

Step 2. Rewrite the given expression as division.

Step 3. Apply the Fraction Division Formula:ab÷cd=ab·dc, 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

Mechanics Maths

Probability and Statistics

Decision Maths

Theoretical and Mathematical Physics

Geometry

Pure Maths

Study anywhere. Anytime. Across all devices.

Simplify.-38-y12

Short Answer

Step by step solution

Step 1. Given information

Step 2. Rewrite the given expression as division.

Step 3. Apply the Fraction Division Formula:ab÷cd=ab·dc, 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

Mechanics Maths

Probability and Statistics

Decision Maths

Theoretical and Mathematical Physics

Geometry

Pure Maths

Study anywhere. Anytime. Across all devices.

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