Chapter 2: Q56. (page 142)

Determine whether each pair of ratios are equivalent ratios. Write yes or no.
$\frac{18}{32}, \frac{3}{4}$

Short Answer

Expert verified

The ratios $\frac{18}{32}, \frac{3}{4}$ are not equivalent ratios.

Step by step solution

Step 1. Given information.

We have a pair of ratios $\frac{18}{32}, \frac{3}{4}$ .

To show that given pair of ratios are equivalent ratios or not.

Step 2. Apply concept.

We find the simplified form of the given both ratios if simplified form of the both ratios

are same then the pair of ratios are equivalent.

Step 3. Calculation.

Solving each ratio:

$\frac{3}{4}$ is already in simplest form and

role="math" localid="1643050331814" $\begin{array}{l} \frac{18}{32} = \frac{9 \times 2}{16 \times 2} \\ \Rightarrow \frac{18}{32} = \frac{9}{16} \end{array}$

$\frac{9}{16}$ is the simplest form of the $\frac{18}{32}$

So, the simplest form of the both ratios are not same.

Therefore, the ratios $\frac{18}{32}, \frac{3}{4}$ are not equivalent ratios.

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Determine whether each pair of ratios are equivalent ratios. Write yes or no.
$\frac{18}{32}, \frac{3}{4}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Apply concept.

Step 3. Calculation.

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Determine whether each pair of ratios are equivalent ratios. Write yes or no.1832,34

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Apply concept.

Step 3. Calculation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

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Applied Mathematics

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Study anywhere. Anytime. Across all devices.

Determine whether each pair of ratios are equivalent ratios. Write yes or no.
$\frac{18}{32}, \frac{3}{4}$