Find an equivalent ratio in simplest terms: 25:50 :

Identify Numbers: Identify the numbers in the given ratio. 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. 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. Dividing both terms by 25 gives us 25 ÷ 25 : 50 ÷ 25, which simplifies to 1:2.Check Simplified Ratio: Check the simplified ratio to ensure it cannot be reduced further. 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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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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Math Problems

Grade 6

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.