Determine if these fractions are repeating or terminating as a decimal. 3/8 2/3 5/6 13/8

Answer 1

To determine if a fraction is repeating or terminating as a decimal, we need to examine the denominator (the bottom number).

3/8: This fraction is terminating because the denominator, 8, is a power of 2, and dividing by powers of 2 always results in a finite decimal.

2/3: This fraction is repeating because the denominator, 3, is not a power of 2, and dividing by 3 will result in a repeating decimal.

5/6: This fraction is repeating because the denominator, 6, is not a power of 2, and dividing by 6 will result in a repeating decimal.

13/8: This fraction is terminating because the denominator, 8, is a power of 2, and dividing by powers of 2 always results in a finite decimal.

In summary:
3/8 is terminating.
2/3 and 5/6 are repeating.
13/8 is terminating.