# How do you solve frac { m } { 16.1} = 3.5?

Jul 31, 2017

$m = 56.35$

#### Explanation:

$\frac{m}{16.1} = 3.5$

$\iff$ multiply both sides by $16.1$

$m = \left(16.1\right) \left(3.5\right)$

$\iff$ Since $16.1 = 16 + .1$, we can distribute about the sum

$m = 16.1 \left(3.5\right) = 16 \left(3.5\right) + .1 \left(3.5\right)$

And since $.1 \left(3.5\right) = .35$ and $3.5 = 3 + .5$ we can distribute $16$

$= 16 \left(3 + 0.5\right) + .35$

Since $3 \times 16 = 48$ and $.5 \times 16 = 8$ we can say

$= 48 + 8 + .35 = 56 + .35 = \underline{56.35}$