The product of a fraction and a whole number,

$\frac{a}{b}\times q$, can be found by

partitioningthe whole number,

$q$, into

$b$ equal parts, and then selecting

$a$ of those parts.

One way to think of $\frac{5}{12}\times 4$ is as 5 parts of a partition of 4 into 12 equal parts.

Start by partitioning, or dividing, 4 into 12 equal parts.

Since 12 ÷ 4 = 3, each whole is divided into 3 equal parts so there are 12 parts total.

$\frac{5}{12}\times 4$ is 5 parts of the partition, so shade 5 of the parts.

Each whole is divided into 3 equal parts, so each part represents one-third.

One whole and two $\frac{1}{3}$'s are shaded.

So, $\frac{5}{12}\times 4=1\frac{2}{3}$.