Question

Write the decimal expansion of those numbers from the following that have terminating decimals.

`7/375`

Answer 1

To determine whether the fraction `7/375` has a terminating decimal expansion, we analyse the denominator’s prime factors:

375 = 3 × 5³

Since there is a prime factor 3 in the denominator other than 2 or 5, the decimal expansion of `7/375` is non-terminating repeating, not terminating.

Therefore, `7/375` does not have a terminating decimal expansion.