Question

Recall that rational numbers are numbers that can be represented as the ratio, or fraction, of two integers. When expressed as decimals, rational numbers either terminate or repeat. For the following rational numbers, use long division to rewrite each fraction as a decimal number. Then, classify each decimal equivalent as terminating or repeating.

division to rewrite each fraction as a decimal number. Then, classify each decimal equivalent as terminating or repeating.

5 2/7 repeating or terminating

7/16 repeating or terminating

14 5/9 repeating or terminating

3/22 repeating or terminating

Answer 1

Repeating

Terminating

Repeating

Repeating

Explanation:

5 2/7 as improper fraction is 37/7 and it equals 5.28571428571 which makes it repeating because the numbers don't stop.

7/16 is equal to 0.4375 making it terminate because the numbers stop.

14 5/9 as an improper fraction is 131/9 and 131/9 is 14.5555555556 and that is a never ending pattern so it is repeating.

3/22 is equal to 0.13636363636 it is repeating because the numbers never stop.