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

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Answer:

#8 2/15#

Explanation:

First, you would find a common denominator; for me, I used #15#. Then ask yourself how many times will #5# go into #15#? The answer is #3# times.

So then you would multiply #3# by #4# (because it is the numerator of the first fraction) and the answer is #12#. Then do the same for the other fraction. Ask yourself how many times will #3# go into #15#? The answer is #5#.

Then multiply by #1# to get #5#. Then you will have the fractions #12/15# and #5/15# and add to get #17/15#.

Simplify that fraction to #1 2/15#, then add #4# and #3# and #1 2/15# to get #8 2/15#.

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Feb 7, 2018

Answer:

#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#

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