210/220 Simplified

Learn how to find what is 210/220 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 210/220 in simplest form.

To simplify 210/220 in its lowest terms, you must be familiar with either how to find the greatest common divisor or prime factors. Both of these methods are used to recognize if 210/220 can be reduced in simplest form. In this case, the greatest common divisor of 210 and 220 is 10. Dividing both the numerator and denominator by GCD, the fraction 210/220 becomes 21/22 which is the simplest form.

Simplify 210/220 as a Fraction
Using Factorization:
210/220 = (?)
210/220 = (2 x 3 x 5 x 7)/(2 x 2 x 5 x 11)      //write 210/220 in terms of factors
= 21/22
210/220 = 21/22
210/220 simplified is 21/22

Using GCD:
210/220 = (?)
GCD of 210 and 220 is 10.
210/220 = (210/10)/(220/10)
= 21/22
210/220 = 21/22
210/220 simplified is 21/22 in fraction form
where,
210/220 is the given fraction to be simplified,
21/22 is the lowest term of 210/220.

Notes: Simplify 210/220 in lowest terms
1. 210/220 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 210 and 220 is 10 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 210/220 can be represented in its reduced form.
2. On the other hand, you can also reduce 210/220 in simplest form by using the factorization method. In this case, the numerator and denominator of fraction should be written in the form of prime factors, so the fraction 210/220 becomes (2 x 3 x 5 x 7)/(2 x 2 x 5 x 11). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 210/220 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 210/220

what to be found:
210/220 = ?
Simplify 210/220 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 210/220.
Prime factors of 210 = 2 x 3 x 5 x 7

step 3 Find the prime factors of the denominator of given fraction 210/220.
Prime factors of 220 = 2 x 2 x 5 x 11

step 4 Rewrite the fraction 210/220 in the form of prime factors as like the below:
210/220= (2 x 3 x 5 x 7) / (2 x 2 x 5 x 11)

step 5 Check and reduce the factors of 210 and 220 if any factors in the numerator and denominator cancel each other:
= (2 x 3 x 5 x 7) / (2 x 2 x 5 x 11)
= ( 3 x 7)/( 2 x 11)
210/220 = 21/22

Hence,
210/220 in simplest form is 21/22.

Representing fraction 210/220 in lowest terms is a better way than its original form to easily recognize the fraction or use in mathematical operations. Simplify fraction involves finding the greatest common factor or factorization. Recognizing the GCD or prime factors of numerator and denominator of a fraction is key when you start reducing fractions like 210/220 in its lowest terms.