change 0.025 into a fraction
in order to change a number to a fraction we start by counting the number of decimal places the number has and we put a 1 followed by zeros in the amount of decimal palces there is.
in this case 0.025 has 3 decimal places, so in the denominator there is going to be a 1000. At the numerator we leave the number as if there were no 0's before
[tex]0.025=\frac{25}{1000}[/tex]However this expresion can be simplified by dividing both numerator and denominator by 25
[tex]\begin{gathered} \frac{25}{25}=1 \\ \frac{1000}{25}=40 \end{gathered}[/tex]The fraction in its simpliest form is
[tex]\frac{1}{40}[/tex]Answer
[tex]0.025=\frac{1}{40}[/tex]