45/81 Simplified in Lowest Terms

The below solution with step by step work shows how to find what is the lowest term of 45/81. The fraction 45/81 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 = 45/81

what to be found:
45/81 = ?
Find what is the lowest term of 45/81.

step 2 Find the prime factors of the numerator of given fraction 45/81.
Prime factors of 45 = 3 x 3 x 5

step 3 Find the prime factors of the denominator of given fraction 45/81.
Prime factors of 81 = 3 x 3 x 3 x 3

step 4 Rewrite the fraction 45/81 in the form of prime factors as like the below:
45/81= (3 x 3 x 5) / (3 x 3 x 3 x 3)

step 5 Check and cancel the factors of 45 and 81 if any factors in the numerator and denominator can be cancelled each other in the above fraction of prime factors:
= (3 x 3 x 5) / (3 x 3 x 3 x 3)
= ( 5)/( 3 x 3)

step 6 Simplify and rewrite the fraction as like the below:
= 5/9
45/81 = 5/9
Hence,
the simplest form of 45/81 is 5/9.

GCF Method :
step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 45/81

what to be found:
45/81 = ?
Find what is the lowest term of 45/81.

step 2 Find GCF (Greatest Common Factor) for both numerator and denominator of the fraction 45/81.
The GCF of 45 and 81 is 9.

step 3 Divide the numerator and denominator of the fraction 45/81 by GCF 9:
= (45/9)(81/9)

step 4 Simplify the above expression:
= (45/9)(81/9)
= 5/9
45/81 = 5/9

Hence,
5/9 is the simplified or lowest term of 45/81.