Question

Express the following rational numbers into decimal and state the kind of decimal expansion

${\displaystyle \frac{327}{200}}$

Answer 1

${\displaystyle \frac{327}{200}=\frac{327}{2\times 100}}$

${\displaystyle 2\text{)}\overline{3.27}(1.635}$
    2
    12
    12
      7
      6
      10
      10
       0

= ${\displaystyle \frac{3.27}{2}}$

= 1.635

Terminating decimal expansion.