Solve h-4/5 = h-3/6?

Jun 17, 2018

The expression as given says $- \frac{4}{5} = - \frac{3}{6}$ which is meaningless.
If you mean (h-4)/5=(h-3)/6
then h=9
So please ensure you write what you actually mean.

Explanation:

If you subtract h from each side, we get
$- \frac{4}{5} = - \frac{3}{6}$
or
$\frac{4}{5} = \frac{1}{2}$
which clearly is not correct.

Could it be that you mean $\frac{h - 4}{5} = \frac{h - 3}{6}$?
If this is what you mean, please write it as such, otherwise it will be meaningless.

If you mean the last expression, we get:
$\frac{h - 4}{5} = \frac{h - 3}{6}$
Least common denominator: $5 \cdot 6 = 30$
This gives
$6 \left(h - 4\right) = 5 \left(h - 3\right)$
$6 h - 24 = 5 h - 15$
Deduct 5h from each side and add 24:
$\left(6 h - 5 h\right) - 24 + 24 = \left(5 h - 5\right) - 15 + 24$
$h = 9$