**(i)** \(\frac{7}{128}\)

So \(\frac{7}{128}\) = \(\frac{7}{2^75^0}\)

This of the form 4m, n ∈ W

**So \(\frac{7}{128}\) has a terminating decimal expansion**

**(ii) **\(\frac{21}{15}\)

**So \(\frac{21}{15}\) has a terminating decimal expansion.**

**(iii)** \(\frac{219}{2200}\)

\(\frac{219}{2200}\) = \(\frac{219}{2^35^211^1}\)

∴ This is not of the form \(\frac{p}{2^m5^n}\)

**So \(\frac{219}{2200}\) has a non-terminating recurring decimal expansion.**