How do you convert 8/15 to a decimal?

Jun 9, 2016

$\frac{8}{15} = 0.53333333 \ldots \ldots \ldots .$

Explanation:

$\frac{8}{15} = \frac{8 \times 2}{15 \times 2} = \frac{16}{30}$

Now multiplying numerator and denominator by $3333333$,

we get $\frac{8}{15} = \frac{16}{30} = \frac{16 \times 3333333}{30 \times 3333333}$

= $\frac{53333328}{99999990}$

As $99999990$ is roughly $100000000$

$\frac{53333328}{99999990} \cong 0.53333328$

In fact as $99999990 < 100000000$,

$\frac{8}{15} > 0.53333328$

In fact $\frac{8}{15} = 0.53333333 \ldots \ldots \ldots .$