Question

Write the following decimal as fractions. Reduce the fractions to lowest form:

(i) 3.8
(ii) 21.2
(iii) 6.4
(iv) 1.0

Answer 1

(i) 3.8
= 3 + 8 tenths
= 3 + $\frac{8}{10}$
= $\frac{3\times 10}{10}$ + $\frac{8}{10}$ = $\frac{30}{10}+\frac{8}{10}=\frac{38}{10}=\frac{19}{5}$

(ii) 21.2
= 21 + 2 tenths
= 21 + $\frac{2}{10}$ = $\frac{21\times 10}{10}+\frac{2}{10}=\frac{210}{10}+\frac{2}{10}=\frac{212}{10}=\frac{106}{5}$

(iii) 6.4
= 6 + 4 tenths
= 6 + $\frac{4}{10}$
= $\frac{6\times 10}{10}+\frac{4}{10}=\frac{60}{10}+\frac{4}{10}=\frac{64}{10}=\frac{32}{5}$

(iv) 1.0
Since the only number after the decimal is 0, the fraction is 1.