How do you add #5\frac { 9} { 10} + 2\frac { 5} { 8}#?

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Answer 1 · 2018-03-03T18:24:21

Convert both into improper fractions.

#5 9/10 = (5(10) + 9)/10 = 59/10#

#2 5/8 = (2(8) + 5)/8 = 21/8#

So the expression becomes

#59/10 + 21/8#

Multiply fractions by a common factor to get the same denominator:

#59/10 * 8/8 + 21/8 * 10/10#

#= 472/80 + 210/80#

Then just add them to get #682/80# and simplify:

Answer: #341/40 = 8 21/40#