Question

Which fraction is equivalent to a repeating decimal?

Responses



1/4



1/5



1/8

Answer 1

To determine which fraction is equivalent to a repeating decimal, let's analyze the fractions provided:

1. **1/4 = 0.25** (terminating decimal)
2. **1/5 = 0.2** (terminating decimal)
3. **1/8 = 0.125** (terminating decimal)

None of these fractions correspond to a repeating decimal.

In general, a repeating decimal occurs when the fraction's denominator (in its simplest form) contains prime factors other than 2 and 5.

For example, fractions like 1/3 (which equals 0.333...) and 1/6 (which equals 0.1666...) are examples of repeating decimals, but none of the fractions provided (1/4, 1/5, 1/8) are equivalent to a repeating decimal.

If you have any other options or additional questions, feel free to ask!