How do you solve m/10=10/3?

$m = \frac{100}{3} = 33 \frac{1}{3}$

Explanation:

Give equation is

$\frac{m}{10} = \frac{10}{3}$

multiply both sides of the equation by 10

$10 \cdot \frac{m}{10} = 10 \cdot \frac{10}{3}$

$\cancel{10} \cdot \frac{m}{\cancel{10}} = 10 \cdot \frac{10}{3}$

$m = \frac{100}{3} = 33 \frac{1}{3}$

God bless....I hope the explanation is useful.