How do you solve #7\frac { 3} { 7}+ 5\frac { 2} { 3}#?

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Answer 1 · 2018-03-18T13:32:29

See a solution process below:

First, rewrite the expression as:

#(7 + 3/7) + (5 + 2/3) =>#

#7 + 3/7 + 5 + 2/3 =>#

#7 + 5 + 3/7 + 2/3 =>#

#12 + 3/7 + 2/3#

To add the fractions we must put them over a common denominator by multiplying each fraction by the appropriate form of #1#:

#12 + (3/3 xx 3/7) + (7/7 xx 2/3) =>#

#12 + (3 xx 3)/(3 xx 7) + (7 xx 2)/(7 xx 3) =>#

#12 + 9/21 + 14/21 =>#

#12 + (9 + 14)/21 =>#

#12 + 23/21#

Now, we can convert the improper fraction to a mixed number:

#12 + (21 + 2)/21 =>#

#12 + 21/21 + 2/21 =>#

#12 + 1 + 2/21 =>#

#13 + 2/21 =>#

#13 2/21#