Which of the following numbers can be expressed as repeating decimals? 4 over 7, 2 over 5, 7 over 8, 4 over 9
Mathematics · College · Thu Feb 04 2021
Answered on
Determine which of the following fractions can be expressed as a repeating decimal.
Solution:
In order to change a fraction to decimal, we simply need to divide the numerator with the denominator, hence if we have a repeating decimal as an answer, we can either represent it with a word repeating enclosed with a parenthesis, a dashed line, or an ellipsis. In our case we will use the ellipsis.
4/7
= 0.571
2/5
= 0.4
7/8
= 0.875
4/9
= 0.4444…
Final answer:
4/9 can be expressed as a repeating decimal.