Question

Convert the following fraction into simple decimal recurring form.

$\frac{4}{9}$ =?

• A. $0.\overline{3}$
• B. $0.1\overline{4}$
• C. $0.\overline{4}$
• D. $0.1\overline{3}$

Answer 1

Answer: (C)

$0.\overline{4}$

$\frac{4}{9}=\mathrm{0.44444444..}=0.\stackrel{\_\_}{4}$
This is a pure recurring decimal as $3$ is repeated continuously.