What is #8 1/4 - 3 2/3#?

1 Answer
smendyka
Dec 8, 2016

#55/12#

Explanation:

First we need to turn these mixed fractions and turn them into improper fractions:

#((4/4)*8 + 1/4) - ((3/3)*3 + 2/3)#

#(32/4+1/4) - (9/3 + 2/3)#

#33/4 - 11/3#

Now we need to get each of these fractions over a common denominator so we can subtract the numerators by multiplying each by the necessary form of #1#. The common denominator in this case can be #12 -> 3 x 4#.

#(3/3*33/4) - (4/4*11/3)#

#99/12 - 44/12#

#(99 - 44)/12#

#55/12#

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