Chapter 2: Q1. (page 114)

Determine whether each pair of ratios are equivalent ratios. Write yes or no.
$\frac{3}{7}, \frac{9}{14}$

Short Answer

Expert verified

No, the pair of ratios $\frac{3}{7}, \frac{9}{14}$ are not equivalent ratios because $\frac{3}{7} \neq \frac{9}{14}$ .

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,

role="math" localid="1642697328129" $\frac{9}{14} = \frac{3 \times 3}{7 \times 2} (nocommonfactor) = \frac{9}{14}$

Step-3. State the conclusion.

As, both the results are not equal, that is., $\frac{3}{7} \neq \frac{9}{14}$ , therefore, no, the given ratios are not equivalent ratios.

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Determine whether each pair of ratios are equivalent ratios. Write yes or no.
$\frac{3}{7}, \frac{9}{14}$

Short Answer

Step by step solution

Step-1. Define equivalent ratios.

Step-2. Simplify the ratios.

Step-3. State the conclusion.

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Determine whether each pair of ratios are equivalent ratios. Write yes or no.37, 914

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

Mechanics Maths

Applied Mathematics

Discrete Mathematics

Theoretical and Mathematical Physics

Probability and Statistics

Decision Maths

Study anywhere. Anytime. Across all devices.

Determine whether each pair of ratios are equivalent ratios. Write yes or no.
$\frac{3}{7}, \frac{9}{14}$