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Find an equivalent ratio in simplest terms:

27:60
:

Find an equivalent ratio in simplest terms: $\newline$ $27: 60$ $\newline$ $\square$ : $\square$

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Write an equivalent ratio

Full solution

Q. Find an equivalent ratio in simplest terms:

\newline

27: 60

\newline

\square

:

\square

Identify GCD: Identify the greatest common divisor (GCD) of the two numbers in the ratio. $\newline$ To simplify the ratio $27:60$ , we need to find the GCD of $27$ and $60$ . The factors of $27$ are $1$ , $3$ , $9$ , and $27$ . The factors of $60$ are $1$ , $27$ $0$ , $3$ , $27$ $2$ , $27$ $3$ , $27$ $4$ , $27$ $5$ , $27$ $6$ , $27$ $7$ , $27$ $8$ , $27$ $9$ , and $60$ . The greatest common factor that they share is $3$ .
Divide by GCD: Divide both terms of the ratio by the GCD to find the simplest form. $\newline$ Divide $27$ by $3$ to get $9$ , and divide $60$ by $3$ to get $20$ . So, the ratio $27:60$ simplifies to $9:20$ .

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