Find an equivalent ratio in simplest terms: 24:88 :

Identify GCD: Identify the greatest common divisor (GCD) of the two numbers in the ratio. To simplify the ratio 24:88, we need to find the GCD of 24 and 88. We can do this by listing the factors of each number or using the Euclidean algorithm. Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24 Factors of 88: 1, 2, 4, 8, 11, 22, 44, 88 The greatest common divisor of 24 and 88 is 8.Find Factors: Divide both terms of the ratio by the GCD to find the simplest form. Now we divide both numbers in the ratio by the GCD: 24 ÷ 8 = 3 88 ÷ 8 = 11 So, the ratio 24:88 simplified is 3:11.

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Find an equivalent ratio in simplest terms:

24:88
:

Find an equivalent ratio in simplest terms: $\newline$ $24: 88$ $\newline$ $\square$ : $\square$

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Math Problems

Grade 6

Write an equivalent ratio

Full solution

Q. Find an equivalent ratio in simplest terms:

\newline

24: 88

\newline

\square

\square

Identify GCD: Identify the greatest common divisor (GCD) of the two numbers in the ratio. $\newline$ To simplify the ratio $24:88$ , we need to find the GCD of $24$ and $88$ . We can do this by listing the factors of each number or using the Euclidean algorithm. $\newline$ Factors of $24$ : $1, 2, 3, 4, 6, 8, 12, 24$ $\newline$ Factors of $88$ : $1, 2, 4, 8, 11, 22, 44, 88$ $\newline$ The greatest common divisor of $24$ and $88$ is $8$ .
Find Factors: Divide both terms of the ratio by the GCD to find the simplest form. $\newline$ Now we divide both numbers in the ratio by the GCD: $\newline$ $24 \div 8 = 3$ $\newline$ $88 \div 8 = 11$ $\newline$ So, the ratio $24:88$ simplified is $3:11$ .