35/40 Simplified in Lowest Terms

35/40 simplified in lowest terms provides the detailed information of what is the simplest form of 35/40, and the answer with steps help students to understand how to simplify the fraction in reduced form.

Simplify 35/40 in Lowest Terms
35/40 = (?)
35/40 = (5 x 7)/(2 x 2 x 2 x 5)
= 7/8
35/40 = 7/8
35/40 simplified is 7/8

where,
35/40 is the given fraction to be simplified,
7/8 is the lowest term of 35/40.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 35/40

what to be found:
35/40 = ?
Reduce 35/40 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 35/40.
Prime factors of 35 = 5 x 7

step 3 Find the prime factors of the denominator of given fraction 35/40.
Prime factors of 40 = 2 x 2 x 2 x 5

step 4 Rewrite the fraction 35/40 in the form of prime factors as like the below:
35/40= (5 x 7) / (2 x 2 x 2 x 5)

step 5 Check and reduce the factors of 35 and 40 if any factors in the numerator and denominator can be cancelled each other in the above fraction of prime factors:
= (5 x 7) / (2 x 2 x 2 x 5)
= ( 7)/(2 x 2 x 2 )
35/40 = 7/8
Hence,
35/40 in simplest form is 7/8.