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Find an equivalent ratio in simplest terms:

44:72
:

Find an equivalent ratio in simplest terms: $\newline$ $44: 72$ $\newline$ $\square$ : $\square$

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Write an equivalent ratio

Full solution

Q. Find an equivalent ratio in simplest terms:

\newline

44: 72

\newline

\square

:

\square

Identify GCD: Identify the greatest common divisor (GCD) of $44$ and $72$ . To do this, list the factors of each number and find the largest number that divides both without leaving a remainder. Factors of $44$ are $1$ , $2$ , $4$ , $11$ , $22$ , $44$ . Factors of $72$ are $1$ , $2$ , $72$ $2$ , $4$ , $72$ $4$ , $72$ $5$ , $72$ $6$ , $72$ $7$ , $72$ $8$ , $72$ $9$ , $44$ $0$ , $72$ . The GCD is $4$ .
Divide by GCD: Divide both terms of the ratio by the GCD to simplify the ratio. So, divide $44$ by $4$ and $72$ by $4$ . $44 \div 4 = 11$ and $72 \div 4 = 18$ .
Write Simplified Ratio: Write the simplified ratio. The simplified ratio is $11:18$ .

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