Question

What is the recurring decimal 0.287 as a fraction

Answer 1

To convert the decimal 0.287 to a fraction we would have to make the following:

First, Write down the number as a fraction of one:

`0.287=(0.287)/(1)`

Next, Multiply both top and bottom by 10 for every number after the decimal point:

As we have 3 numbers after the decimal point, we multiply both numerator and denominator by 1000. Therefore,

`(0.287)/(1)=\text{ }\frac{\text{(0.287}*1000)}{(1*1000)}=\text{ }\frac{\text{287}}{1000}`

Therefore, the recurring decimal 0.287 as a fraction is 287/1000