30/36 Simplified in Lowest Terms

30/36 simplified in lowest terms provides the detailed information of what is the simplest form of 30/36, and the answer with steps help students to understand how to simplify the fraction in reduced form.

Simplify 30/36 in Lowest Terms
30/36 = (?)
30/36 = (2 x 3 x 5)/(2 x 2 x 3 x 3)
= 5/6
30/36 = 5/6
30/36 simplified is 5/6

where,
30/36 is the given fraction to be simplified,
5/6 is the lowest term of 30/36.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 30/36

what to be found:
30/36 = ?
Reduce 30/36 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 30/36.
Prime factors of 30 = 2 x 3 x 5

step 3 Find the prime factors of the denominator of given fraction 30/36.
Prime factors of 36 = 2 x 2 x 3 x 3

step 4 Rewrite the fraction 30/36 in the form of prime factors as like the below:
30/36= (2 x 3 x 5) / (2 x 2 x 3 x 3)

step 5 Check and reduce the factors of 30 and 36 if any factors in the numerator and denominator can be cancelled each other in the above fraction of prime factors:
= (2 x 3 x 5) / (2 x 2 x 3 x 3)
= ( 5)/( 2 x 3)
30/36 = 5/6
Hence,
30/36 in simplest form is 5/6.