Are the ratios 8:6 and 17:12 equivalent? Choices: (A)yes (B)no

Simplify Ratio 8:6: Step 1: Simplify the ratio 8:6. To simplify, find the greatest common divisor (GCD) of 8 and 6, which is 2. Divide both terms by 2: 8 ÷ 2 = 4 6 ÷ 2 = 3 Simplified ratio = 4:3 Simplify Ratio 17:12: Step 2: Simplify the ratio 17:12. To simplify, find the GCD of 17 and 12. Since 17 is a prime number and does not divide 12, the GCD is 1. Divide both terms by 1: 17 ÷ 1 = 17 12 ÷ 1 = 12 Simplified ratio = 17:12 Compare Simplified Ratios: Step 3: Compare the simplified ratios. The simplified ratio of 8:6 is 4:3. The simplified ratio of 17:12 remains 17:12. Since 4:3 is not equal to 17:12, the ratios 8:6 and 17:12 are not equivalent.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Are the ratios $8:6$ and $17:12$ equivalent? $\newline$ Choices: $\newline$ (A) yes $\newline$ (B) no

View step-by-step help

Home

Math Problems

Grade 7

Identify equivalent ratios

Full solution

Q. Are the ratios

8:6

and

17:12

equivalent?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Simplify Ratio $8:6$ : Step $1$ : Simplify the ratio $8:6$ . $\newline$ To simplify, find the greatest common divisor (GCD) of $8$ and $6$ , which is $2$ . $\newline$ Divide both terms by $2$ : $\newline$ $8 \div 2 = 4$ $\newline$ $6 \div 2 = 3$ $\newline$ Simplified ratio = $4:3$
Simplify Ratio $17:12$ : Step $2$ : Simplify the ratio $17:12$ . To simplify, find the GCD of $17$ and $12$ . Since $17$ is a prime number and does not divide $12$ , the GCD is $1$ . Divide both terms by $1$ : $17 \div 1 = 17$ $12 \div 1 = 12$ Simplified ratio = $17:12$
Compare Simplified Ratios: Step $3$ : Compare the simplified ratios. $\newline$ The simplified ratio of $8:6$ is $4:3$ . $\newline$ The simplified ratio of $17:12$ remains $17:12$ . $\newline$ Since $4:3$ is not equal to $17:12$ , the ratios $8:6$ and $17:12$ are not equivalent.