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Find an equivalent ratio in simplest terms:

88:56
:

Find an equivalent ratio in simplest terms: $\newline$ $88: 56$ $\newline$ $\square$ : $\square$

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Write an equivalent ratio

Full solution

Q. Find an equivalent ratio in simplest terms:

\newline

88: 56

\newline

\square

:

\square

Identify GCD: Identify the greatest common divisor (GCD) of $88$ and $56$ . To do this, list the factors of each number and find the largest number that divides both without a remainder. The factors of $88$ are $1, 2, 4, 8, 11, 22, 44, 88$ , and the factors of $56$ are $1, 2, 4, 7, 8, 14, 28, 56$ . The GCD is $8$ .
Divide by GCD: Divide both terms of the ratio by the GCD to simplify the ratio. So, divide $88$ by $8$ and $56$ by $8$ . $88 \div 8 = 11$ and $56 \div 8 = 7$ .
Write simplified ratio: Write the simplified ratio using the results from Step $2$ . The simplified ratio is $11:7$ .

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