How do you evaluate #2\frac { 3} { 10} + 6\frac { 2} { 4}#?

1 Answer
YoshiMan007
Oct 15, 2017

#8 4/5#

Explanation:

A proper fraction is simply the sum of a whole number and a fraction. Thus I can rewrite this as:

#2 3/10+6 2/4 = 2 + 3/10 + 6 + 2/4#

#=2+6+3/10+2/4#

#=8+3/10+2/4#

We know that #2/4=1/2#.

To add #3/10# and #1/2#, we need to come up with a common denominator. For this, we look at the Least Common Multiple of #10# and #2#. Both numbers divide evenly into #10#, so that's what we'll use.

#3/10=3/10#

#1/2=5/10#

#3/10+5/10=8/10#

We can reduce #8/10# to be #4/5#.

Our final answer:

#8 4/5#

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