Question

2 dogs/ 3 cats and 10 dogs/ 15 cats are an example of
a. Complex Fraction
b. Equivalent ratios
c. rate
d. terms

Answer 1

2 dogs/ 3 cats and 10 dogs/ 15 cats are an example of

b. Equivalent ratios
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$\frac{10 \: dogs}{15 \: cats} = \frac{5 \times 2 \: dogs}{ 5 \times 3 \: cats} = \frac{2 \: dogs}{3 \: cats}$

We can see that they are equivalent ratios.

Answer 2

2 dogs/ 3 cats and 10 dogs/ 15 cats are an example of equivalent ratios.

Equivalent ratios are ratios of two different fractions that are similar in nature after they are being simplified to their lowest terms.

From the given ratios:

$\mathbf{\dfrac{ 2 \ dogs }{3 \ cats } \ \ is \ equivalent\ to \ \ \dfrac{10 dogs }{15 \ cats}}$

This is because the simplification of $\mathbf{ \dfrac{10 dogs }{15 \ cats}}$ is $\mathbf{ \dfrac{2 \ dogs }{3 \ cats}}$

Therefore, we can conclude that 2 dogs/ 3 cats and 10 dogs/ 15 cats are an example of Equivalent ratios.

Learn more about equivalent ratios here:

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