# How do you simplify #1/4+1/3div4/5#?

##### 1 Answer

#### Explanation:

We must perform the division first before adding.

To perform division follow the steps.

• Leave the first fraction

• Change division to multiplication

• Invert (turn upside down) the second fraction

• Cancel any common factors if possible

#rArr1/3÷4/5=1/3xx5/4larr" multiply and invert"# There are no common factors.

#=(1xx5)/(3xx4)=5/12# We now simplify

#1/4+5/12# To add fractions they must have a

#color(blue)"common denominator"# multiply the numerator and denominator of

#1/4# by 3 to create an equivalent fraction.

#rArr1/4=(1xx3)/(4xx3)=3/12#

#"Hence " 1/4+5/12=3/12+5/12=8/12#

#"The numerator/denominator of " 8/12# can be divided by a common factor of 4

#rArr8/12=(8÷4)/(12÷4)=2/3larr" in simplest form"# A fraction is in

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