Chapter 2: Q3. (page 114)

Determine whether each pair of ratios are equivalent ratios. Write yes or no. Justify your answer.
$\frac{2.8}{4.4}, \frac{1.4}{2.1}$

Short Answer

Expert verified

No, the pair of ratios $\frac{2.8}{4.4}, \frac{1.4}{2.1}$ are not equivalent ratios because $\frac{2.8}{4.4} \neq \frac{1.4}{2.1}$ .

Step by step solution

Step-1. Define equivalent ratios.

Equivalent ratios are two ratios which have same relationship between the numbers. If $\frac{a}{b} = \frac{c}{d}$ , where a and d are extremes and b and c are the means, then in a proportion the product of the extremes is equal to the product of the means that is., $a d = b c, b, d \neq 0$ .

If two ratios are in proportion then they are equivalent ratios.

Step-2. Determine the cross products.

Use cross products to determine whether two ratios form a proportion.

$\begin{matrix} \frac{2.8}{4.4} \overset{?}{=} \frac{1.4}{2.1} \\ 2.8 \times 2.1 \overset{?}{=} 1.4 \times 4.4 \\ 5.88 \neq 6.16 \end{matrix}$

Step-3. State the conclusion.

Since, the cross products are not equal, that is., $5.88 \neq 6.16$ , therefore the ratios do not form the proportion and so they are not equivalent ratios.

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Determine whether each pair of ratios are equivalent ratios. Write yes or no. Justify your answer.
$\frac{2.8}{4.4}, \frac{1.4}{2.1}$

Short Answer

Step by step solution

Step-1. Define equivalent ratios.

Step-2. Determine the cross products.

Step-3. State the conclusion.

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Determine whether each pair of ratios are equivalent ratios. Write yes or no. Justify your answer.2.84.4, 1.42.1

Short Answer

Step by step solution

Step-1. Define equivalent ratios.

Step-2. Determine the cross products.

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

Discrete Mathematics

Decision Maths

Applied Mathematics

Geometry

Study anywhere. Anytime. Across all devices.

Determine whether each pair of ratios are equivalent ratios. Write yes or no. Justify your answer.
$\frac{2.8}{4.4}, \frac{1.4}{2.1}$