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Find an equivalent ratio in simplest terms:

42:10
:

Find an equivalent ratio in simplest terms: $\newline$ $42: 10$ $\newline$ $\square$ : $\square$

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Write an equivalent ratio

Full solution

Q. Find an equivalent ratio in simplest terms:

\newline

42: 10

\newline

\square

:

\square

Find GCD: To simplify the ratio $42:10$ , we need to find the greatest common divisor (GCD) of $42$ and $10$ that can be used to divide both numbers.
Divide by GCD: The GCD of $42$ and $10$ is $2$ , because $2$ is the largest number that divides both $42$ and $10$ without leaving a remainder.
Calculate Simplified Ratio: Now, we divide both terms of the ratio by the GCD. So, we divide $42$ by $2$ and $10$ by $2$ . $\newline$ Calculation: $42 \div 2 = 21$ and $10 \div 2 = 5$ .
Final Simplified Ratio: After dividing, we get the simplified ratio $21:5$ . This is the simplest form of the ratio $42:10$ .

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