30/42 Simplified in Lowest Terms

30/42 simplified in lowest terms provides the detailed information of what is the simplest form of 30/42, and the answer with steps help students to understand how to simplify the fraction in reduced form.

Simplify 30/42 in Lowest Terms
30/42 = (?)
30/42 = (2 x 3 x 5)/(2 x 3 x 7)
= 5/7
30/42 = 5/7
30/42 simplified is 5/7

where,
30/42 is the given fraction to be simplified,
5/7 is the lowest term of 30/42.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 30/42

what to be found:
30/42 = ?
Reduce 30/42 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 30/42.
Prime factors of 30 = 2 x 3 x 5

step 3 Find the prime factors of the denominator of given fraction 30/42.
Prime factors of 42 = 2 x 3 x 7

step 4 Rewrite the fraction 30/42 in the form of prime factors as like the below:
30/42= (2 x 3 x 5) / (2 x 3 x 7)

step 5 Check and reduce the factors of 30 and 42 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 3 x 7)
= ( 5)/( 7)
30/42 = 5/7
Hence,
30/42 in simplest form is 5/7.