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

1 Answer
Mar 28, 2018

Answer:

#5/7 + 3/4 = 41/28#

Explanation:

To add fractions, give them a denominator in common

The Lowest Common Denominator for #7# and #4# is #28#

That means that you should change #5/7# into #20/28#

#(5*4)/(7*4) = 20/28#

Next, change #3/4# into #21/28#

#(3*7)/(4*7) = 21/28#

Now you can add the like fractions

#20/28 + 21/28#

To add like fractions, add the numerators and keep the common denominator

#20/28 + 21/28 = 41/28# #larr# answer

You can convert the improper fraction into a mixed number if you want, but usually it is just left as an improper fraction.

#41/28 = 1(13)/(28)# #larr# same answer