# Question #659dc

##### 1 Answer

Feb 28, 2017

#### Explanation:

To add 2 fractions we require the

#color(blue)"denominators"# to be the same value.In this case they are, both 8

We can therefore

#color(blue)"add the numerators"# while leaving the denominator as it is.

#rArr5/8+7/8#

#=(5+7)/8#

#=12/8# We can

#color(blue)"simplify"# the fraction by dividing the numerator/denominator by the#color(blue)"highest common factor"# of 12 and 8, which is 4

#rArr12/8=(12÷4)/(8÷4)=3/2larrcolor(red)" in simplest form"# This process is normally done using

#color(blue)"cancelling"#

#rArr12/8=cancel(12)^3/cancel(8)^2=3/2larrcolor(red)" in simplest form"# A fraction is in

#color(blue)"simplest form"# when no other factor but 1 divides into the numerator/denominator.