Question

10

Select the correct answer.
Which fraction converts to a repeating decimal number?
OA. 1/2
OB.
O C.
O D.
112 78 14 25 1720610
OE.

Answer 1

A fraction converts to a repeating decimal number when the denominator has prime factors other than 2 or 5.

Step-by-step explanation:

A fraction converts to a repeating decimal number when the denominator has prime factors other than 2 or 5. For example, the fraction 1/3 converts to a repeating decimal, where the decimal digits 3, 3, 3, ... repeat infinitely. Another example is the fraction 7/11, which converts to the repeating decimal 0.636363...

In the given options, the fraction 1/2 does not convert to a repeating decimal because the denominator (2) only has the prime factor 2. Therefore, the correct answer is Option C.

Learn more about Converting fractions to repeating decimals