How do you simplify #25 1/3-17 5/6#?

1 Answer
smendyka
Dec 13, 2016

#15/2# or #7 1/2#

Explanation:

First we need to convert each Mixed Fraction to an improper fraction by multiplying each integer by the appropriate form of #1# and the adding it to the fraction:

#((3/3 xx 25) + 1/3) - ((6/6 *xx 17) + 5/6)#

#(75/3 + 1/3) - (102/6 + 5/6)#

#76/3 - 107/6#

Next, in order to subtract the two fractions we must get them over a common denominator, in this case #6# by multiplying the fraction by the appropriate form of #1#:

#(2/2 xx 76/3) - 107/6#

#152/6 - 107/6#

#(152 - 107)/6#

#45/6#

#3/3 xx 15/2#

#1 xx 15/2#

#15/2#

Or

#(14 + 1)/2#

#14/2 + 1/2#

#7 + 1/2#

#7 1/2#

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