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Find an equivalent ratio in simplest terms:

35:63
:

Find an equivalent ratio in simplest terms: $\newline$ $35: 63$ $\newline$ $\square$ : $\square$

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Write an equivalent ratio

Full solution

Q. Find an equivalent ratio in simplest terms:

\newline

35: 63

\newline

\square

:

\square

Find GCD: To simplify the ratio $35:63$ , we need to find the greatest common divisor (GCD) of $35$ and $63$ . The GCD is the largest number that divides both numbers without leaving a remainder.
List Factors: We list the factors of $35$ : $1$ , $5$ , $7$ , $35$ . Then we list the factors of $63$ : $1$ , $3$ , $7$ , $9$ , $1$ $0$ , $63$ . The largest common factor is $7$ .
Divide by GCD: Now we divide both terms of the ratio by the GCD, which is $7$ . So, $35 \div 7 = 5$ and $63 \div 7 = 9$ .
Simplified Ratio: After dividing, we get the simplified ratio of $5:9$ . This is the simplest form of the ratio $35:63$ .

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