How do you simplify #3 1/3 + 2 4/5 #?

1 Answer
Jun 12, 2016

Answer:

#3 1/3+2 4/5=color(green)(6 2/15)#

Explanation:

#3 1/3+2 4/5#

#color(white)("XXX")=3+2+1/3+4/5#

Convert the fractions so they have the same denominators
#color(white)("XXX")=3+2+5/15+12/15#

Add the fractions
#color(white)("XXX")=3+2+17/15#

Convert the improper fraction into a mixed fraction
#color(white)("XXX")=3+2+1+2/15#

Add the integer terms
#color(white)("XXX")=6+2/15#

Write as a standard mixed fraction
#color(white)("XXX")=6 2/15#