### Home > CC2 > Chapter 2 > Lesson 2.1.1 > Problem2-13

2-13.

Which of the fractions listed below will have repeating decimals and which will have terminating decimals? Explain how you know. Homework Help ✎

Prime factor the denominators. If the prime factorization contains numbers other than $2$ and $5$, it will repeat. If it only contains numbers that are $2$ or $5$, then it will terminate.

1. $\frac { 2 } { 5 }$

Terminating decimal

1. $\frac { 7 } { 45 }$

Repeating decimal

Use the Hint above.

1. $\frac { 5 } { 99 }$

1. $\frac { 27 } { 250 }$