Question

Convert each of the following into a fraction in its simplest form:

(i) .8
(ii) .75
(iii) .06
(iv) .285

Answer 1

We have:

(i) $0.8=\frac{8}{10}=\frac{8÷2}{10÷2}=\frac{4}{5}$

(ii) $0.75=\frac{75}{100}=\frac{75÷25}{100÷25}=\frac{3}{4}$

(iii) $0.06=\frac{6}{100}=\frac{6÷2}{100÷2}=\frac{3}{50}$

(iv) $0.285=\frac{285}{1000}=\frac{285÷5}{1000÷5}=\frac{57}{200}$