CPM Homework Help : CC2 Problem 2-54

Rewrite the following fractions as decimals and decide if they are terminating or repeating decimals. Show your work and explain how you made your decision.

$\frac{7}{8}$
Hint (a):
Divide $7$ by $8$ . Do you get a repeating decimal?
Answer (a):
Since $7$ divided by $8$ is $0.875$ , and this does not repeat without end, it is a terminating decimal.

$\frac{2}{9}$
Hint (b):
Here is Kelly's work.

$\ \ \ \ 0.22\\9\longdiv{2.00}\\\ \ \ \ 1.8\\\ \ \ \ \ \ .20\\\ \ \ \ \ \ .18\\\ \ \ \ \ \ldots\\\ \ \ \ \ \ldots$

Does it look like the decimal will repeat?

$\frac{4}{7}$
Hint (c):
See parts (a) and (b).
Answer (c):
Repeating.

$\frac{11}{22}$
Hint (d):
See parts (a) and (b).