Question

Express the following as a rational number i.e. in the form $\frac{a}{b};$ where a, $b\in I$ and $b\ne 0.$

$0.7\overline{1}$.
.

• A. $\frac{22}{45}$
• B. $\frac{32}{45}$
• C. $\frac{16}{45}$
• D. $\frac{19}{45}$

Answer 1

Answer: (B)

Let $x=0.7\overline{1}$
$\therefore 10x=7.\overline{1}$
$\therefore 100x=71.\overline{1}$
Subtracting the above two equations.
$90x=64$
$\therefore x=\frac{32}{45}$