Question

Express the following decimal expansion in the form $\frac{p}{q}$, where p and q are integers and $q\ne 0$.
(i) $0.75$
(ii) $0.625$
(iii) $0.5625$
(iv) $0.28$.

Answer 1

(i) $0.75=\frac{75}{100}=\frac{3}{4}$
(ii) $0.625=\frac{625}{1000}=\frac{5}{8}$
(iii) $0.5625=\frac{5625}{10000}=\frac{45}{80}=\frac{9}{16}$
(iv) $0.28=\frac{28}{100}=\frac{7}{25}$.