36/42 Simplified in Lowest Terms

36/42 simplified in lowest terms provides the detailed information of what is the simplest form of 36/42, and the answer with steps help students to understand how to simplify the fraction in reduced form.

Simplify 36/42 in Lowest Terms
36/42 = (?)
36/42 = (2 x 2 x 3 x 3)/(2 x 3 x 7)
= 6/7
36/42 = 6/7
36/42 simplified is 6/7

where,
36/42 is the given fraction to be simplified,
6/7 is the lowest term of 36/42.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 36/42

what to be found:
36/42 = ?
Reduce 36/42 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 36/42.
Prime factors of 36 = 2 x 2 x 3 x 3

step 3 Find the prime factors of the denominator of given fraction 36/42.
Prime factors of 42 = 2 x 3 x 7

step 4 Rewrite the fraction 36/42 in the form of prime factors as like the below:
36/42= (2 x 2 x 3 x 3) / (2 x 3 x 7)

step 5 Check and reduce the factors of 36 and 42 if any factors in the numerator and denominator can be cancelled each other in the above fraction of prime factors:
= (2 x 2 x 3 x 3) / (2 x 3 x 7)
= ( 2 x 3)/( 7)
36/42 = 6/7
Hence,
36/42 in simplest form is 6/7.