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

1 Answer
Feb 7, 2018

#8 2/15#

Explanation:

Work with the whole numbers first, and then deal with the fractions,

#color(blue)(4) 4/5 + color(blue)(3) 1/3#

#=color(blue)(7) +4/5+1/3" "larr# the #LCM = 15#

Make equivalent fractions with #15# in each denominator

#=7 + (4/5 xx 3/3) + (1/3 xx5/5)#

#=7 +12/15 +5/15#

#= 7 (12+5)/15#

#=7 17/15" "larr " change " 17/15 # into a mixed number

#=7 +1 2/15#

#=8 2/15#