Question

Write as fractions in lowest terms.

A) $0.60$

B) $0.05$

C) $0.75$

D) $0.18$

E) $0.2$

F) $0.066$

Answer 1

(A)

$0.60$

$=\frac{60}{100}$ [Since, which has two decimals.]

$=\frac{60÷20}{100÷20}$

$=\frac{3}{5}$

(B)

$0.05$

$=\frac{5}{100}$ [Since, which has two decimals.]

$=\frac{5÷5}{100÷5}$

$=\frac{1}{20}$

(C)

$0.75$

$=\frac{75}{100}$ [Since, which has two decimals.]

$=\frac{75÷25}{100÷25}$

$=\frac{3}{4}$

(D)

$0.18$

$=\frac{18}{100}$ [Since, which has two decimals.]

$=\frac{18÷2}{100÷2}$

$=\frac{9}{50}$

($\because$ $9$ & $50$ are co-prime they can not be further reduced)

(E)

$0.2$

$=\frac{2}{10}$ [Since, which has only one decimal.]

$=\frac{2÷2}{10÷2}$

$=\frac{1}{5}$

(F)

$0.066$

$=\frac{66}{1000}$ [Since, which has three decimals.]

$=\frac{66÷2}{1000÷2}$

$=\frac{33}{500}$