Write the fraction that represents the repeating decimal shown below, in simplest form;
0.13
To convert the repeating decimal 0.13 to a fraction, we can use the following method:
Let x = 0.131313...
100x = 13.131313...
Subtract the first equation from the second:
100x - x = 13.131313... - 0.131313...
99x = 13
x = 13/99
Therefore, the fraction that represents the repeating decimal 0.13 is 13/99, which is already in simplest form.