Are the ratios 20:10 and 4:2 equivalent? Choices: (A)yes (B)no

Simplify Ratio 20:10: Step 1: Simplify the ratio 20:10. Calculation: Divide both terms by their greatest common divisor, which is 10. 20 ÷ 10 = 2, 10 ÷ 10 = 1. Simplified ratio = 2:1.Simplify Ratio 4:2: Step 2: Simplify the ratio 4:2. Calculation: Divide both terms by their greatest common divisor, which is 2. 4 ÷ 2 = 2, 2 ÷ 2 = 1. Simplified ratio = 2:1.Compare Simplified Ratios: Step 3: Compare the simplified ratios. Both ratios simplify to 2:1. Since both are the same, the ratios 20:10 and 4:2 are equivalent.

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Are the ratios $20:10$ and $4:2$ 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

20:10

and

4:2

equivalent?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Simplify Ratio $20$ : $10$ : Step $1$ : Simplify the ratio $20:10$ . $\newline$ Calculation: Divide both terms by their greatest common divisor, which is $10$ . $\newline$ $20 \div 10 = 2$ , $10 \div 10 = 1$ . $\newline$ Simplified ratio = $2:1$ .
Simplify Ratio $4$ : $2$ : Step $2$ : Simplify the ratio $4:2$ . $\newline$ Calculation: Divide both terms by their greatest common divisor, which is $2$ . $\newline$ $4 \div 2 = 2$ , $2 \div 2 = 1$ . $\newline$ Simplified ratio = $2:1$ .
Compare Simplified Ratios: Step $3$ : Compare the simplified ratios. $\newline$ Both ratios simplify to $2:1$ . $\newline$ Since both are the same, the ratios $20:10$ and $4:2$ are equivalent.