How do you add and simplify #5/7 + 3/4#?

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Answer 1 · 2018-03-02T18:59:25

#=41/28 = 1 13/28#

#5/7+3/4#

#= (5xx4)/(7xx4)+(3xx7)/(4xx7)# [Since Lowest Common Multiple = 28]

#= 20/28+21/28#

#= (20+21)/28#

#= 41/28#

# = 1 13/28#

Answer 2 · 2018-03-02T18:59:42

#41/28#

To add fractions, we need to find a common denominator. The easiest way to so multiply each fraction by the other denominator:

#4/4 xx 5/7 + 3/4 xx 7/7#

The reason we multiply by #4/4# and #7/7# is that these are really #1#. When we multiply by #1# we technically don't change the value of the number

#20/28 + 21/28#

#(20+21)/28#

#41/28#

Now we simplify this:

#(41 xx 1)/(2 xx 2 xx 7)#

#41# is a prime number, so we actually can't simplify this further