Find an equivalent ratio in simplest terms: 35:63 :

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, 21, 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 ÷ 7 = 5 and 63 ÷ 7 = 9.Simplified Ratio: After dividing, we get the simplified ratio of 5:9. This is the simplest form of the ratio 35:63.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find an equivalent ratio in simplest terms:

35:63
:

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

View step-by-step help

Home

Math Problems

Grade 7

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 $35:63$ .