Question

Write the following numeral as a decimal:

$10\frac{8}{1000}$

Answer 1

Step 1: Convert a mixed fraction into an improper fraction

Given mixed fraction is $10\frac{8}{1000}$.

We know that,

$\mathrm{Improper}\mathrm{fraction}=\frac{\left(\mathrm{whole}\mathrm{number}\times \mathrm{denominator}\right)+\mathrm{numerator}}{\mathrm{denominator}}$

$\begin{array}{rcl}\therefore 10\frac{8}{1000}& =& \frac{\left(10\times 1000\right)+8}{1000}\\ & =& \frac{10000+8}{1000}\\ & =& \frac{10008}{1000}\end{array}$

Step 2: Convert an improper fraction into a decimal number

Since in $\frac{10008}{1000}$, there are $3$ zeroes in the denominator, we put a decimal point after three digits from the right in the numerator.

$\Rightarrow \frac{10008}{1000}=10.008$

Therefore, $10\frac{8}{1000}=10.008$