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:
[tex]0.287=\frac{0.287}{1}[/tex]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,
[tex]\frac{0.287}{1}=\text{ }\frac{\text{(0.287}\times1000)}{(1\times1000)}=\text{ }\frac{\text{287}}{1000}[/tex]Therefore, the recurring decimal 0.287 as a fraction is 287/1000
