How do you solve (7k/8) - (3/4) - (5k/16) = (3/8)(7k8)(34)(5k16)=(38)?

1 Answer
Jun 21, 2015

color(purple)( k = -14k=14

Explanation:

(7k/8) - (3/4) - (5k/16) = (3/8)(7k8)(34)(5k16)=(38)
Solving the mixed fraction first:

(56 + k)/8 - (3/4) - ((80 +k))/16 = (3/8)56+k8(34)(80+k)16=(38)
Here, the L.C.M is 1616

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

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