30/35 Simplified in Lowest Terms

30/35 simplified in lowest terms provides the detailed information of what is the simplest form of 30/35, and the answer with steps help students to understand how to simplify the fraction in reduced form.

Simplify 30/35 in Lowest Terms
30/35 = (?)
30/35 = (2 x 3 x 5)/(5 x 7)
= 6/7
30/35 = 6/7
30/35 simplified is 6/7

where,
30/35 is the given fraction to be simplified,
6/7 is the lowest term of 30/35.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 30/35

what to be found:
30/35 = ?
Reduce 30/35 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 30/35.
Prime factors of 30 = 2 x 3 x 5

step 3 Find the prime factors of the denominator of given fraction 30/35.
Prime factors of 35 = 5 x 7

step 4 Rewrite the fraction 30/35 in the form of prime factors as like the below:
30/35= (2 x 3 x 5) / (5 x 7)

step 5 Check and reduce the factors of 30 and 35 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) / (5 x 7)
= (2 x 3 )/( 7)
30/35 = 6/7
Hence,
30/35 in simplest form is 6/7.