Question 167100
Well, nice try, but your answer of {{{303/2500 = 0.1212}}} and this is a terminating (non-repeating) decimal! You can check this in your calculator.
Here's the way to convert this repeating decimal to a fraction:
Let n = 0.1212... Multiply both sides by 100 to get:
100n = 12.1212... Now subtract n = 0.1212...
100n-n = (12.1212...)-(0.1212...) Perform the indicated subtraction.
99n = 12 Finally divide both sides by 99.
{{{n = 12/99}}} substitute n = 0.1212...
0.1212... = {{{12/99}}} Reduce the fraction.
0.1212... = {{{4/33}}}