Chapter 2: Q10. (page 115)

Determine whether each pair of ratios are equivalent ratios. Write yes or no.
$\frac{3}{7}, \frac{18}{42}$

Short Answer

Expert verified

Yes, the pair of ratios $\frac{3}{7}, \frac{18}{42}$ are equivalent ratios because $\frac{3}{7} = \frac{18}{42}$ .

Step by step solution

Step-1. Define equivalent ratios.

Equivalent ratios are two ratios which have same relationship between the numbers.

Step-2. Simplify the ratios.

Simplify both the ratios by dividing them with the common factor, if there is any.

$\begin{matrix} \frac{3}{7} = \frac{3 \times 1}{7 \times 1} \\ = \frac{3}{7} \end{matrix}$

And,

$\begin{matrix} \frac{18}{42} = \frac{6 \times 3}{6 \times 7} \\ = \frac{3}{7} \end{matrix}$

Step-3. State the conclusion.

As, both the results are equal, that is., $\frac{3}{7} = \frac{3}{7}$ , therefore, yes, the given ratios are equivalent.

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.

Determine whether each pair of ratios are equivalent ratios. Write yes or no.
$\frac{3}{7}, \frac{18}{42}$

Short Answer

Step by step solution

Step-1. Define equivalent ratios.

Step-2. Simplify the ratios.

Step-3. State the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Logic and Functions

Statistics

Applied Mathematics

Mechanics Maths

Calculus

Study anywhere. Anytime. Across all devices.

Determine whether each pair of ratios are equivalent ratios. Write yes or no.37, 1842

Short Answer

Step by step solution

Step-1. Define equivalent ratios.

Step-2. Simplify the ratios.

Step-3. State the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Logic and Functions

Statistics

Applied Mathematics

Mechanics Maths

Calculus

Study anywhere. Anytime. Across all devices.

Determine whether each pair of ratios are equivalent ratios. Write yes or no.
$\frac{3}{7}, \frac{18}{42}$