How do you add #10\frac { 1} { 4} + 1\frac { 2} { 3} + 20\frac { 7} { 8}#?

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Answer 1 · 2017-08-09T17:42:23

See a solution process below:

Step 1) Convert each mixed number to an improper fraction:

#10 1/4 + 1 2/3 + 20 7/8 =>

#([4/4 xx 10] + 1/4) + ([3/3 xx 1] + 2/3) + ([8/8 xx 20] + 7/8) =>#

#(40/4 + 1/4) + (3/3 + 2/3) + (160/8 + 7/8) =>#

#41/4 + 5/3 + 167/8#

Step 2) Put all the fractions over a common denominator by multiplying each fraction by the appropriate form of #1#:

#(6/6 xx 41/4) + (8/8 xx 5/3) + (3/3 xx 167/8) =>#

#246/24 + 40/24 + 501/24#

Step 3) Add the numerators over the common denominator:

#(246 + 40 + 501)/24 =>#

#787/24#

Step 4) If necessary, convert the improper fraction into a mixed number:

#(768 + 19)/24 =>#

#768/24 + 19/24 =>#

#32 + 19/24 =>#

#32 19/24#