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Find an equivalent ratio in simplest terms:

44:56

Find an equivalent ratio in simplest terms: $\newline$ $44: 56$ $\newline$ $\square$ : $\square$

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Write an equivalent ratio

Full solution

Q. Find an equivalent ratio in simplest terms:

\newline

44: 56

\newline

\square

:

\square

Find GCD: To simplify the ratio $44:56$ , we need to find the greatest common divisor (GCD) of $44$ and $56$ that can be used to divide both numbers.
Identify Factors: The factors of $44$ are $1$ , $2$ , $4$ , $11$ , $22$ , and $44$ . The factors of $56$ are $1$ , $2$ , $4$ , $1$ $1$ , $1$ $2$ , $1$ $3$ , $1$ $4$ , and $56$ . The greatest common factor that appears in both lists is $4$ .
Divide by GCD: Divide both terms of the ratio by the GCD, which is $4$ . So, $44 \div 4 = 11$ and $56 \div 4 = 14$ .
Simplify Ratio: After dividing, we get the simplified ratio $11:14$ .

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