How do you solve $(7 \frac{k}{8}) - (\frac{3}{4}) - (5 \frac{k}{16}) = (\frac{3}{8})$ $(7k/8) - (3/4) - (5k/16) = (3/8)$ ?

Question

1935 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-06-21T08:14:58

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

$(7 \frac{k}{8}) - (\frac{3}{4}) - (5 \frac{k}{16}) = (\frac{3}{8})$ $(7k/8) - (3/4) - (5k/16) = (3/8)$
Solving the mixed fraction first:

$\frac{56 + k}{8} - (\frac{3}{4}) - \frac{(80 + k)}{16} = (\frac{3}{8})$ $(56 + k)/8 - (3/4) - ((80 +k))/16 = (3/8)$
Here, the L.C.M is $16$ $16$

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

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

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