Question

Write the decimal $4.005$ as fraction or mixed numbers?

Answer 1

Step 1: Conerting the decimal into fraction:

Given number can be written as numerator. Put $1$ in denominator right below the given decimal point .

It has to be followed by zeros.Number of zeros depends on numbers after the decimal point.

Given decimal $4.005$,has three numbers after the decimal.

so, we place $1000$ in the denominator and remove the decimal point.

This will make it $\frac{4005}{1000}$

Step 2: Converting the improper fraction into mixed fraction

Then, this fraction $\frac{4005}{1000}$ can be simplified as follows,

In order to convert $\frac{4005}{1000}$ to mixed number,divide the numerator by the denominator,

$4005÷1000=4$ with remainder of $5$

In next step, we can write down the whole number $4$ and then write down the remainder as new numerator ($5$) above the denominator ($1000$)

Hence, the mixed fraction will be $4\frac{5}{1000}$.