How do you solve #(7k/8) - (3/4) - (5k/16) = (3/8)#?

1 Answer
Don't Memorise
Jun 21, 2015

#color(purple)( k = -14#

Explanation:

#(7k/8) - (3/4) - (5k/16) = (3/8)#
Solving the mixed fraction first:

#(56 + k)/8 - (3/4) - ((80 +k))/16 = (3/8)#
Here, the L.C.M is #16#

#((56 + k). 2)/cancel16 - (12/cancel16) - ((80 +k))/cancel16 = (6/cancel16)#

# 112 +2k - 12 - 80 - k = 6#
#20 + k = 6#
#color(purple)( k = -14#

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