Are the ratios 8:16 and 2:4 equivalent? Choices: (A)yes (B)no

Simplify Ratio 8:16: Simplify the ratio 8:16. Calculation: Divide both terms by their greatest common divisor, which is 8. 8 ÷ 8 = 1 and 16 ÷ 8 = 2. So, the simplest form of 8:16 is 1:2.Simplify Ratio 2:4: Simplify the ratio 2:4. Calculation: Divide both terms by their greatest common divisor, which is 2. 2 ÷ 2 = 1 and 4 ÷ 2 = 2. So, the simplest form of 2:4 is 1:2.Compare Simplified Ratios: Compare the simplified forms of both ratios. Since both simplified forms are 1:2, the ratios 8:16 and 2:4 are equivalent.

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Are the ratios $8:16$ and $2:4$ equivalent? $\newline$ Choices: $\newline$ (A) yes $\newline$ (B) no

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Math Problems

Grade 7

Identify equivalent ratios

Full solution

Q. Are the ratios

8:16

and

2:4

equivalent?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Simplify Ratio $8:16$ : Simplify the ratio $8:16$ . $\newline$ Calculation: Divide both terms by their greatest common divisor, which is $8$ . $\newline$ $8 \div 8 = 1$ and $16 \div 8 = 2$ . $\newline$ So, the simplest form of $8:16$ is $1:2$ .
Simplify Ratio $2:4$ : Simplify the ratio $2:4$ . $\newline$ Calculation: Divide both terms by their greatest common divisor, which is $2$ . $\newline$ $2 \div 2 = 1$ and $4 \div 2 = 2$ . $\newline$ So, the simplest form of $2:4$ is $1:2$ .
Compare Simplified Ratios: Compare the simplified forms of both ratios. $\newline$ Since both simplified forms are $1:2$ , the ratios $8:16$ and $2:4$ are equivalent.