Whole Times Fraction

$4\cdot \frac{5}{6}$ means 4 lots of $\frac{5}{6}$: $\frac{5}{6}+\frac{5}{6}+\frac{5}{6}+\frac{5}{6}$, which is 20 sixths, $\frac{20}{6}$.

The quick way: a whole number is a fraction over 1, so 4 is $\frac{4}{1}$. Then multiply top by top and bottom by bottom: 4 · 5 is 20 and 1 · 6 is 6. Only the top grows. The bottom stays 6 because the pieces are still sixths; there are just more of them. Then simplify: $\frac{20}{6}$ is $\frac{10}{3}$.

$\frac{10}{3}$ is more than 1, which makes sense: 4 helpings of almost a whole are more than 3 wholes. As a mixed number it is $3+\frac{1}{3}$, 3 and 1/3.