775/955 Simplified

Learn how to find what is 775/955 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 775/955 in simplest form.

To simplify 775/955 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 775/955 can be reduced in simplest form. In this case, the greatest common divisor of 775 and 955 is 5. Dividing both the numerator and denominator by GCD, the fraction 775/955 becomes 155/191 which is the simplest form.

Simplify 775/955 as a Fraction
Using Factorization:
775/955 = (?)
775/955 = (5 x 5 x 31)/(5 x 191)      //write 775/955 in terms of factors
= 155/191
775/955 = 155/191
775/955 simplified is 155/191

Using GCD:
775/955 = (?)
GCD of 775 and 955 is 5.
775/955 = (775/5)/(955/5)
= 155/191
775/955 = 155/191
775/955 simplified is 155/191 in fraction form
where,
775/955 is the given fraction to be simplified,
155/191 is the lowest term of 775/955.

Notes: Simplify 775/955 in lowest terms
1. 775/955 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 775 and 955 is 5 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 775/955 can be represented in its reduced form.
2. On the other hand, you can also reduce 775/955 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 775/955 becomes (5 x 5 x 31)/(5 x 191). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 775/955 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 775/955

what to be found:
775/955 = ?
Simplify 775/955 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 775/955.
Prime factors of 775 = 5 x 5 x 31

step 3 Find the prime factors of the denominator of given fraction 775/955.
Prime factors of 955 = 5 x 191

step 4 Rewrite the fraction 775/955 in the form of prime factors as like the below:
775/955= (5 x 5 x 31) / (5 x 191)

step 5 Check and reduce the factors of 775 and 955 if any factors in the numerator and denominator cancel each other:
= (5 x 5 x 31) / (5 x 191)
= ( 5 x 31)/( 191)
775/955 = 155/191

Hence,
775/955 in simplest form is 155/191.

Representing fraction 775/955 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 775/955 in its lowest terms.