# 15/75 Simplified in Lowest Terms 15/75 simplified in lowest terms provides the detailed information of what is the simplest form of 15/75, and the answer with steps help students to understand how to simplify the fraction in simplest form.

Simplify 15/75 in Lowest Terms
15/75 = (?)
15/75 = (3 x 5)/(3 x 5 x 5)
= 1/5
15/75 = 1/5
The simplest form of 15/75 is 1/5

where,
15/75 is the given fraction to be simplified,
1/5 is the lowest term of 15/75.

For values other than 15/75, use this below tool:

## How-to: Simplify 15/75 in Lowest Terms

The below solution with step by step work shows how to find what is the lowest term of 15/75. The fraction 15/75 simplified can be found by using anyone of the below two methods:
1. Prime factorization method,
2. GCF method.

Prime Factorization Method :
step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 15/75

what to be found:
15/75 = ?
Find what is the lowest term of 15/75.

step 2 Find the prime factors of the numerator of given fraction 15/75.
Prime factors of 15 = 3 x 5

step 3 Find the prime factors of the denominator of given fraction 15/75.
Prime factors of 75 = 3 x 5 x 5

step 4 Rewrite the fraction 15/75 in the form of prime factors as like the below:
15/75= (3 x 5) / (3 x 5 x 5)

step 5 Check and cancel the factors of 15 and 75 if any factors in the numerator and denominator can be cancelled each other in the above fraction of prime factors:
= (3 x 5) / (3 x 5 x 5)
= (1)/( 5)

step 6 Simplify and rewrite the fraction as like the below:
= 1/5
15/75 = 1/5
Hence,
the simplest form of 15/75 is 1/5.

GCF Method :
step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 15/75

what to be found:
15/75 = ?
Find what is the lowest term of 15/75.

step 2 Find GCF (Greatest Common Factor) for both numerator and denominator of the fraction 15/75.
The GCF of 15 and 75 is 15.

step 3 Divide the numerator and denominator of the fraction 15/75 by GCF 15:
= (15/15)(75/15)

step 4 Simplify the above expression:
= (15/15)(75/15)
= 1/5
15/75 = 1/5

Hence,
1/5 is the simplified or lowest term of 15/75. 