Find an equivalent ratio in simplest terms: 110:36 :

Find GCD Factors: To find the simplest form of the ratio, we need to find the greatest common divisor (GCD) of 110 and 36, which can be used to divide both numbers to simplify the ratio.Identify Largest Common Factor: First, we list the factors of 110 and 36 to find the GCD. The factors of 110 are 1, 2, 5, 10, 11, 22, 55, 110. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36.Apply Euclidean Algorithm: Looking at the factors of both numbers, we see that the largest common factor is 2. However, we need to check if there's a larger common factor that can be used to simplify the ratio further.We can use the Euclidean algorithm to find the GCD of 110 and 36. We divide 110 by 36 and get a remainder. 110 ÷ 36 = 3 with a remainder of 2.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find an equivalent ratio in simplest terms:

110:36
:

Find an equivalent ratio in simplest terms: $\newline$ $110: 36$ $\newline$ $\square$ : $\square$

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

110: 36

\newline

\square

\square

Find GCD Factors: To find the simplest form of the ratio, we need to find the greatest common divisor (GCD) of $110$ and $36$ , which can be used to divide both numbers to simplify the ratio.
Identify Largest Common Factor: First, we list the factors of $110$ and $36$ to find the GCD. The factors of $110$ are $1$ , $2$ , $5$ , $10$ , $11$ , $22$ , $55$ , $110$ . The factors of $36$ are $1$ , $2$ , $36$ $4$ , $36$ $5$ , $36$ $6$ , $36$ $7$ , $36$ $8$ , $36$ $9$ , $36$ .
Apply Euclidean Algorithm: Looking at the factors of both numbers, we see that the largest common factor is $2$ . However, we need to check if there's a larger common factor that can be used to simplify the ratio further.
Apply Euclidean Algorithm: Looking at the factors of both numbers, we see that the largest common factor is $2$ . However, we need to check if there's a larger common factor that can be used to simplify the ratio further.We can use the Euclidean algorithm to find the GCD of $110$ and $36$ . We divide $110$ by $36$ and get a remainder. $110 \div 36 = 3$ with a remainder of $2$ .