Question

Convert the following repeating decimal to a fraction in simplest form.
.53

Answer 1

The answer is 8/15. You can break the decimal into two fractions:
0.53 = 1/2 + 1/30. Then combine by making both terms have a denominator of 30, so you get 16/30. The divide numerator and denominator each by 2 to get to 8/15