Question

Write each of the following decimals as fractions. Reduce the fractions to lowest form:

(i) 0.04
(ii) 2.34
(iii) 0.342
(iv) 1.20
(v) 17.38

Answer 1

(i) 0.04
=0 + 0.04
= 0 + 4 hundredths
= $0+\frac{4}{100}$
= $\frac{4}{100}$
= $\frac{1}{25}$

(ii) 2.34
= 2 + 0.34
= 2 + 34 hundredths
= 2 + $\frac{34}{100}$
= $\frac{2\times 100}{100}+\frac{34}{100}$
= $\frac{200}{100}+\frac{34}{100}$
= $\frac{234}{100}$
= $\frac{117}{50}$

(iii) 0.342
= 0 + 342 thousandths
= $\frac{342}{1000}$
= $\frac{171}{500}$

(iv) 1.20
= 1 + 0.20
= 1 + 20 hundredths
= 1 + $\frac{20}{100}$
= $\frac{100}{100}+\frac{20}{100}$
= $\frac{120}{100}$
= $\frac{6}{5}$

(v) 17.38
= 17 + 0.38
= 17 + 38 hundredths
= 17 + $\frac{38}{100}$
= $\frac{17\times 100}{100}+\frac{38}{100}$
= $\frac{1700}{100}+\frac{38}{100}$
= $\frac{1738}{100}$
= $\frac{869}{50}$