Question

Write the following numeral as a decimal:

$4\frac{37}{1000}$

Answer 1

Step 1: Convert a mixed fraction into an improper fraction

Given mixed fraction is $4\frac{37}{1000}$

We know that,

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

$\therefore 4\frac{37}{1000}=\frac{\left(4\times 1000\right)+37}{1000}=\frac{4000+37}{1000}=\frac{4037}{1000}$

Step 2: Convert an improper fraction into a decimal number

Since in $\frac{4037}{1000}$, there are $3$ zeroes in the denominator, we put a decimal point after three digits from the right in the numerator.

$\Rightarrow \frac{4037}{1000}=4.037$

Therefore $4\frac{37}{1000}=4.037$