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Find an equivalent ratio in simplest terms:

25:50
:

Find an equivalent ratio in simplest terms: $\newline$ $25: 50$ $\newline$ $\square$ : $\square$

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Write an equivalent ratio

Full solution

Q. Find an equivalent ratio in simplest terms:

\newline

25: 50

\newline

\square

:

\square

Identify Numbers: Identify the numbers in the given ratio. $\newline$ The given ratio is $25:50$ , which means we have $25$ of one quantity and $50$ of another.
Find GCD: Determine the greatest common divisor (GCD) of the two numbers. $\newline$ The GCD of $25$ and $50$ is $25$ , because $25$ is the largest number that divides both $25$ and $50$ without leaving a remainder.
Divide by GCD: Divide both terms of the ratio by the GCD to simplify the ratio. $\newline$ Dividing both terms by $25$ gives us $25 \div 25 : 50 \div 25$ , which simplifies to $1:2$ .
Check Simplified Ratio: Check the simplified ratio to ensure it cannot be reduced further. $\newline$ Since $1$ is the smallest positive integer and $2$ does not have any common divisors with $1$ other than $1$ itself, the ratio $1:2$ is in its simplest form.

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