Question

13. If the following fractions were converted to decimals, which one would result in a repeating decimal? A. 3/4 B. 1/9 C. 5/11 D. 3/7

Answer 1

Hey there!

In order to find if a fraction would result in a repeating decimal, recall that a fraction is a division problem written vertically. All that you have to do is divide the numerator by the denominator. Also, remember that a repeating decimal will result in the same number after the decimal point as long as the calculator can handle. 

3 ÷ 4 = 0.75

1 ÷ 9 = 0.11111111...

5 ÷ 11 = 0.45454545...

3 ÷ 0.42857143...

As you can see, two out of your four answer choices give you a repeating decimal. B gives you a repeated number of "1" while C gives you "45". D doesn't count since there is no pattern of repeated numbers that it follows. 

Both B and C fall into the category of repeating decimal. If you're only able to choose one answer, I would ask your teacher, a parent, or a peer what they think. 

Hope this helped you out! :-)