Question

Convert to vulgar fractions:

(i) $0.\overline{89}$

(ii) $4.1\overline{73}$

(iii) $6.27\overline{97}$

Answer 1

$\left(i\right)0.\overline{89}=\frac{89}{99}$

$\left(ii\right)4.1\overline{73}=4+0.1\overline{73}=4+\frac{173-1}{990}=4+\frac{172}{990}=4+\frac{86}{495}=4\frac{86}{495}$

$\left(iii\right)6.27\overline{97}=6+\frac{2797-27}{9900}=6+\frac{277}{990}=6\frac{277}{990}$