15/10 Simplified in Lowest Terms

The below solution with step by step work shows how to find what is the lowest term of 15/10. The fraction 15/10 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 = 15/10

what to be found:
15/10 = ?
Find what is the lowest term of 15/10.

step 2 Find the prime factors of the numerator of given fraction 15/10.
Prime factors of 15 = 3 x 5

step 3 Find the prime factors of the denominator of given fraction 15/10.
Prime factors of 10 = 2 x 5

step 4 Rewrite the fraction 15/10 in the form of prime factors as like the below:
15/10= (3 x 5) / (2 x 5)

step 5 Check and cancel the factors of 15 and 10 if any factors in the numerator and denominator can be cancelled each other in the above fraction of prime factors:
= (3 x 5) / (2 x 5)
= (3 )/(2 )

step 6 Simplify and rewrite the fraction as like the below:
= 3/2
15/10 = 3/2
Hence,
the simplest form of 15/10 is 3/2.

GCF Method :
step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 15/10

what to be found:
15/10 = ?
Find what is the lowest term of 15/10.

step 2 Find GCF (Greatest Common Factor) for both numerator and denominator of the fraction 15/10.
The GCF of 15 and 10 is 5.

step 3 Divide the numerator and denominator of the fraction 15/10 by GCF 5:
= (15/5)(10/5)

step 4 Simplify the above expression:
= (15/5)(10/5)
= 3/2
15/10 = 3/2

Hence,
3/2 is the simplified or lowest term of 15/10.