Find an equivalent ratio in simplest terms: 30:24 :

Identify Numbers and GCD: Identify the numbers in the ratio and the greatest common divisor (GCD) of these numbers. The numbers in the ratio are 30 and 24. To simplify the ratio, we need to find the GCD of 30 and 24. Calculation: GCD(30, 24) = 6.Divide by GCD: Divide both terms of the ratio by the GCD to find the simplest form. Calculation: 30 ÷ 6 = 5 and 24 ÷ 6 = 4. So, the simplest form of the ratio is 5:4.Check Calculation: Check the calculation to ensure no math error has been made. Re-checking: 30 ÷ 6 = 5 (correct) and 24 ÷ 6 = 4 (correct). The ratio 5:4 is indeed in simplest form because there is no number greater than 1 that divides both 5 and 4.

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Find an equivalent ratio in simplest terms:

30:24
:

Find an equivalent ratio in simplest terms: $\newline$ $30: 24$ $\newline$ $\square$ : $\square$

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Math Problems

Grade 6

Write an equivalent ratio

Full solution

Q. Find an equivalent ratio in simplest terms:

\newline

30: 24

\newline

\square

\square

Identify Numbers and GCD: Identify the numbers in the ratio and the greatest common divisor (GCD) of these numbers. $\newline$ The numbers in the ratio are $30$ and $24$ . To simplify the ratio, we need to find the GCD of $30$ and $24$ . $\newline$ Calculation: $\text{GCD}(30, 24) = 6$ .
Divide by GCD: Divide both terms of the ratio by the GCD to find the simplest form. $\newline$ Calculation: $30 \div 6 = 5$ and $24 \div 6 = 4$ . $\newline$ So, the simplest form of the ratio is $5:4$ .
Check Calculation: Check the calculation to ensure no math error has been made. $\newline$ Re-checking: $30 \div 6 = 5$ (correct) and $24 \div 6 = 4$ (correct). $\newline$ The ratio $5:4$ is indeed in simplest form because there is no number greater than $1$ that divides both $5$ and $4$ .