275/335 Simplified

Learn how to find what is 275/335 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 275/335 in simplest form.

To simplify 275/335 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 275/335 can be reduced in simplest form. In this case, the greatest common divisor of 275 and 335 is 5. Dividing both the numerator and denominator by GCD, the fraction 275/335 becomes 55/67 which is the simplest form.

Simplify 275/335 as a Fraction
Using Factorization:
275/335 = (?)
275/335 = (5 x 5 x 11)/(5 x 67)      //write 275/335 in terms of factors
= 55/67
275/335 = 55/67
275/335 simplified is 55/67

Using GCD:
275/335 = (?)
GCD of 275 and 335 is 5.
275/335 = (275/5)/(335/5)
= 55/67
275/335 = 55/67
275/335 simplified is 55/67 in fraction form
where,
275/335 is the given fraction to be simplified,
55/67 is the lowest term of 275/335.

Notes: Simplify 275/335 in lowest terms
1. 275/335 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 275 and 335 is 5 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 275/335 can be represented in its reduced form.
2. On the other hand, you can also reduce 275/335 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 275/335 becomes (5 x 5 x 11)/(5 x 67). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 275/335 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 275/335

what to be found:
275/335 = ?
Simplify 275/335 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 275/335.
Prime factors of 275 = 5 x 5 x 11

step 3 Find the prime factors of the denominator of given fraction 275/335.
Prime factors of 335 = 5 x 67

step 4 Rewrite the fraction 275/335 in the form of prime factors as like the below:
275/335= (5 x 5 x 11) / (5 x 67)

step 5 Check and reduce the factors of 275 and 335 if any factors in the numerator and denominator cancel each other:
= (5 x 5 x 11) / (5 x 67)
= ( 5 x 11)/( 67)
275/335 = 55/67

Hence,
275/335 in simplest form is 55/67.

Representing fraction 275/335 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 275/335 in its lowest terms.