Question

How do I convert .004 to a fraction?

Answer 1

To convert a decimal number to a fraction we can use the following procedure:

Write the decimal divided by 1. in this case we wull have:

`(0.004)/(1)`

Then we multiply the numerator and denominator by 10 for every number after the decimal point, in this case we will have:

`(0.004)/(1)\cdot(10)/(10)\cdot(10)/(10)\cdot(10)/(10)`

Now we simplify the fraction:

`\begin{gathered} (0.004)/(1)\cdot(10)/(10)\cdot(10)/(10)\cdot(10)/(10)=(4)/(1000) \\ =(2)/(500) \\ =(1)/(250) \end{gathered}`

Therefore the number in fraction form would be:

`(1)/(250)`