How do you solve (a-6)/5=7/12?

Aug 6, 2018

$a = \frac{107}{12}$

Explanation:

Cross-multiply to get

$12 a - 72 = 35$

So

$12 a = 107$

$a = \frac{107}{12}$

Aug 6, 2018

color(green)(a = 107/12 = 8 11/12

Explanation:

$\frac{a - 6}{5} = \frac{7}{12}$

$a - 6 = \frac{5 \cdot 7}{12} = \frac{35}{12}$

$a = 6 + \frac{35}{12}$

$a = \frac{72 + 35}{12}$, taking L C M.

color(green)(a = 107/12 = 8 11/12