Answer
$7.7\overline{7}=\dfrac{70}{9}$
Work Step by Step
We have given $0.3\overline{3}=\dfrac{1}{3}$ and $0.6\overline{6}=\dfrac{2}{3}$.
Divide $0.3\overline{3}=\dfrac{1}{3}$ by $3$ on both sides.
We get, $0.1\overline{1}=\dfrac{1}{9}$
Now multiply by $7$ on both sides of $0.1\overline{1}=\dfrac{1}{9}$
We get, $0.7\overline{7}=\dfrac{7}{9}$
Now to move the decimal point to the right for once. Multiply by $10$ on both sides.
We get, $7.7\overline{7}=\dfrac{70}{9}$
