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

2 Answers
Mar 2, 2018

Answer:

#=41/28 = 1 13/28#

Explanation:

#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#

Mar 2, 2018

Answer:

#41/28#

Explanation:

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