CPM Homework Help : CC2MN Problem 2-13

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

Hint:

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.

$\frac { 2 } { 5 }$
Answer (a):
Terminating decimal

$\frac { 7 } { 45 }$
Answer (b):
Repeating decimal

$\frac { 5 } { 99 }$
Help (c) and (d):
Use the Hint above.

$\frac { 27 } { 250 }$