Question

which of the following numbes can be expressed as decimals that terminate? 5/2,4/5,2/7,4/3

Answer 1

A terminating decimal is a decimal that has an end.

$\frac{5}{2}=2.5$

Thus, it can be expressed as a decimal that terminates.

$\frac{4}{5}=0.8$

Also, it can be expressed as a decimal that terminates.

$\begin{gathered} \frac{2}{7}=0.28571428571\ldots\text{.} \\ \text{This is not a terminating decimal.} \\ \frac{4}{3}=1,333333333\ldots\text{..} \\ \text{This is not a terminating decimal.} \end{gathered}$

Hence, the fractions that can be expressed as decimal that terminates are;

$\frac{5}{2},\frac{4}{5}$