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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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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 $4$ .

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