Question

Write the following rational number in decimal form and say what kind of decimal expansion has:
$\frac{7}{15}$

Answer 1

Decimal form of rational numbers:

A terminating decimal, is a decimal that has an end.

A non-terminating decimal is defined as a decimal number that does not have an endpoint in its decimal digit and keeps repeating forever.

On simple division we get ,

$\frac{7}{15}=0.466666....$

Hence, the decimal form of $\frac{7}{15}$ is $0.4\stackrel{-}{6}$ and the decimal expansion is non- terminating.