Chapter 2: Q9. (page 115)

Determine whether each pair of ratios are equivalent ratios. Write yes or no.
$\frac{9}{11}, \frac{81}{99}$

Short Answer

Expert verified

Yes, the pair of ratios $\frac{9}{11}, \frac{81}{99}$ are equivalent ratios because $\frac{9}{11} = \frac{81}{99}$ .

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.

$\begin{matrix} \frac{9}{11} = \frac{9 \times 1}{11 \times 1} \\ = \frac{9}{11} \end{matrix}$

And,

$\begin{matrix} \frac{81}{99} = \frac{9 \times 9}{9 \times 11} \\ = \frac{9}{11} \end{matrix}$

Step-3. State the conclusion.

As, both the results are equal, that is., $\frac{9}{11} = \frac{9}{11}$ , therefore, yes, the given ratios are equivalent.

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Determine whether each pair of ratios are equivalent ratios. Write yes or no.
$\frac{9}{11}, \frac{81}{99}$

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.911,8199

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

Pure Maths

Mechanics Maths

Calculus

Probability and Statistics

Discrete Mathematics

Geometry

Study anywhere. Anytime. Across all devices.

Determine whether each pair of ratios are equivalent ratios. Write yes or no.
$\frac{9}{11}, \frac{81}{99}$