Chapter 7: Q5. (page 243)

Is the ratio $a : b$ always, sometimes, or never equal to the ratio $b : a$ ? Explain.

Short Answer

Expert verified

Ratio $a : b$ is never equal to $b : a$ .

Step by step solution

Step 1. Given information.

The given ratio is $a : b$ .

Step 2. Concept Used.

A number and its inverse is never equal.

Step 3. Let’s check with the help of an example.

Suppose that,

$\begin{array}{l} a : b = 2 : 1 \\ \frac{a}{b} = \frac{2}{1} \end{array}$

Find the inverse of given ratio.

$\begin{array}{l} b : a = 1 : 2 \\ \frac{b}{a} = \frac{1}{2} \end{array}$

Here we can see that both the ratios are not same.

Therefore, the ratio $a : b$ is never equal to. $b : a$

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.

Is the ratio $a : b$ always, sometimes, or never equal to the ratio $b : a$ ? Explain.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept Used.

Step 3. Let’s check with the help of an example.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Applied Mathematics

Theoretical and Mathematical Physics

Statistics

Logic and Functions

Decision Maths

Study anywhere. Anytime. Across all devices.

Is the ratioa:balways, sometimes, or never equal to the ratiob:a? Explain.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept Used.

Step 3. Let’s check with the help of an example.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Applied Mathematics

Theoretical and Mathematical Physics

Statistics

Logic and Functions

Decision Maths

Study anywhere. Anytime. Across all devices.

Is the ratio $a : b$ always, sometimes, or never equal to the ratio $b : a$ ? Explain.