Question

How do you convert $\frac{7}{15}$ to a decimal ?

Answer 1

$\frac{7}{15}=0.4\overline{6}$
Explanation :

I would normally do this by just long dividing $7$ by $15$. Long division allows you to convert any fraction into its decimal representation.

Let's try another method:

Decompose $\frac{7}{15}$ into a difference of fractions whose representations we already know:

$\frac{7}{15}=\frac{10}{15}-\frac{3}{15}=\frac{2}{3}-\frac{1}{5}=0.\overline{6}-0.2=0.4\overline{6}$