Which fraction equals a repeating decimal?

a) 5/80
b) 11/88
c) 17/85
d) 18/81

11/88

17/85

Good

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11/88

To determine which fraction equals a repeating decimal, you need to divide the numerator (the top number) by the denominator (the bottom number) and observe the result.

Let's calculate the decimal values for each of the fractions:

a) 5/80: When you divide 5 by 80, you get 0.0625 as the decimal value. This is a terminating decimal because it ends.

b) 11/88: When you divide 11 by 88, you get 0.125 as the decimal value. This is also a terminating decimal because it ends.

c) 17/85: When you divide 17 by 85, you get 0.2 as the decimal value. This is a terminating decimal since it ends.

d) 18/81: When you divide 18 by 81, you get 0.2222... as the decimal value. Notice the ellipsis (...) at the end, indicating that the decimal goes on infinitely. This is a repeating decimal because it repeats a pattern of digits.

Therefore, the fraction that equals a repeating decimal is option d) 18/81.

All fractions represent a repeating decimal, but those in lowest terms with only powers of 2 and 5 in the denominator repeat with zeros. (terminating decimals)

So, reduce them all and see which ones have something besides 2 and 5 in the bottom.

For example, 11/88 = 1/8 = 1/2^3 so it terminates -- 0.125

Or, heck, just do the division on your calculator. geez.