# How do you simplify the fraction #35/50#?

##### 1 Answer

Dec 1, 2016

#### Explanation:

We have to find a

#color(blue)"common factor"# that will divide into 35 and 50 and reduce the fraction.This process is referred to as

#color(blue)"cancelling"# Since 35 has a last digit of 5 and 50 has a last digit of 0 , this tells us that both numbers are

#color(blue)"divisible by 5"#

#rArr35/50=(35÷5)/(50÷5)=7/10larr" in simplest form"# Usually written as

#cancel(35)^7/cancel(50)^(10)=7/10# A fraction is in

#color(blue)"simplest form"# when no other factor apart from 1 will divide into the numerator/denominator.