Chapter 7: Q6. (page 247)

complete each statement.
If $\frac{a}{4} = \frac{b}{7},$ then $\frac{a}{b} = \frac{?}{?}$

Short Answer

Expert verified

The final answer is, $\frac{x}{y} = \frac{3}{8} \Rightarrow \frac{y}{x} = \frac{8}{3}$ .

Step by step solution

Step 1. Given information.

The given proportion is,

$\frac{x}{y} = \frac{3}{8}$ .

It is given that $\frac{x}{y} = \frac{3}{8}$ ,

Step 2. Use cross-multiplication method.

We get,

$8 x = 3 y$

Step 3. Now, divide both sides by 3x.

$\begin{array}{l} \frac{8 x}{3 x} = \frac{3 y}{3 x} \\ \frac{8}{3} = \frac{y}{x} \end{array}$

So, we get,

$\frac{x}{y} = \frac{3}{8} \Rightarrow \frac{y}{x} = \frac{8}{3}$

Therefore, the final answer is, $\frac{x}{y} = \frac{3}{8} \Rightarrow \frac{y}{x} = \frac{8}{3}$ .

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.

complete each statement.
If $\frac{a}{4} = \frac{b}{7},$ then $\frac{a}{b} = \frac{?}{?}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Use cross-multiplication method.

Step 3. Now, divide both sides by 3x.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Discrete Mathematics

Pure Maths

Statistics

Theoretical and Mathematical Physics

Calculus

Study anywhere. Anytime. Across all devices.

complete each statement.Ifa4=b7,thenab=??

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Use cross-multiplication method.

Step 3. Now, divide both sides by 3x.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Discrete Mathematics

Pure Maths

Statistics

Theoretical and Mathematical Physics

Calculus

Study anywhere. Anytime. Across all devices.

complete each statement.
If $\frac{a}{4} = \frac{b}{7},$ then $\frac{a}{b} = \frac{?}{?}$