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Find an equivalent ratio in simplest terms:

6:21
:

Find an equivalent ratio in simplest terms: $\newline$ $6: 21$ $\newline$ $\square$ : $\square$

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Write an equivalent ratio

Full solution

Q. Find an equivalent ratio in simplest terms:

\newline

6: 21

\newline

\square

:

\square

Find GCD: To find the simplest form of the ratio, we need to find the greatest common divisor (GCD) of the two numbers in the ratio, which are $6$ and $21$ .
Calculate GCD: Calculate the GCD of $6$ and $21$ . The factors of $6$ are $1$ , $2$ , $3$ , and $6$ . The factors of $21$ are $1$ , $3$ , $21$ $0$ , and $21$ . The largest common factor is $3$ .
Divide by GCD: Divide both terms of the ratio by the GCD to simplify the ratio. So, we divide $6$ by $3$ and $21$ by $3$ . $\newline$ $6 \div 3 = 2$ $\newline$ $21 \div 3 = 7$
Write Simplified Ratio: Write the simplified ratio. The simplest form of the ratio $6:21$ is $2:7$ .

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