Question

Which fraction converts to a repeating decimal number?

a) 1/12
b) 14/25
c) 17/20
d) 6/10

Answer 1

The fraction that converts to a repeating decimal is 14/25.

Step-by-step explanation:

A fraction that converts to a repeating decimal number has a decimal that repeats indefinitely. To determine which fraction converts to a repeating decimal, you need to look at the decimal representation of each fraction. In this case, the fraction that converts to a repeating decimal is option b) 14/25.

To convert the fraction 14/25 to a decimal, divide the numerator (14) by the denominator (25) using long division: 14 ÷ 25 = 0.56. However, the decimal representation of 14/25 does not terminate. If you continue the long division, you will notice that the decimal digits 56 repeat, so the decimal representation of 14/25 is 0.565656...