Find an equivalent ratio in simplest terms: 24:32 :

Identify Numbers and GCD: Identify the numbers in the ratio and the greatest common divisor (GCD) that can be used to simplify the ratio. The numbers in the ratio are 24 and 32. To simplify the ratio, we need to find the GCD of 24 and 32.Calculate GCD: Calculate the GCD of 24 and 32. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24. The factors of 32 are 1, 2, 4, 8, 16, 32. The greatest common factor is 8.Divide and Simplify: Divide both terms of the ratio by the GCD to find the simplest form. 24 ÷ 8 = 3 32 ÷ 8 = 4 So, the simplest form of the ratio 24:32 is 3:4.

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Find an equivalent ratio in simplest terms:

24:32
:

Find an equivalent ratio in simplest terms: $\newline$ $24: 32$ $\newline$ $\square$ : $\square$

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Math Problems

Grade 6

Write an equivalent ratio

Full solution

Q. Find an equivalent ratio in simplest terms:

\newline

24: 32

\newline

\square

\square

Identify Numbers and GCD: Identify the numbers in the ratio and the greatest common divisor (GCD) that can be used to simplify the ratio. $\newline$ The numbers in the ratio are $24$ and $32$ . To simplify the ratio, we need to find the GCD of $24$ and $32$ .
Calculate GCD: Calculate the GCD of $24$ and $32$ . The factors of $24$ are $1$ , $2$ , $3$ , $4$ , $6$ , $8$ , $12$ , $24$ . The factors of $32$ are $1$ , $2$ , $4$ , $8$ , $32$ $6$ , $32$ . The greatest common factor is $8$ .
Divide and Simplify: Divide both terms of the ratio by the GCD to find the simplest form. $\newline$ $24 \div 8 = 3$ $\newline$ $32 \div 8 = 4$ $\newline$ So, the simplest form of the ratio $24:32$ is $3:4$ .