How do you simplify #3 3/4+2 5/7#?

1 Answer
Dec 13, 2016

Answer:

#181/28# or #6 13/28#

Explanation:

Step 1) Convert each Mixed fraction to an improper fraction. Multiply the integer by the appropriate form of #1# and add this to the fraction:

#(4/4*3 + 3/4) + ((7/7*2 + 5/7)#

#(12/4 + 3/4) + (14/7 + 5/7)#

#((12 + 3)/4) + ((14 + 5)/7)#

#15/4 + 19/7#

Step 2) Get each fraction over a common denominator, in this case (#4 xx 7 or 28#) by again multiplying the fraction by the appropriate form of #1#:

#(7/7xx 15/4) + (4/4 xx 19/7)#

#105/28 + 76/28#

#(105 + 76)/28#

#181/28#

Or

#168/28 + 13/28#

#6 + 13/28#

#6 13/28#