Worksheet on Recurring Decimals as Rational Numbers

Practice the questions given in the worksheet on recurring decimals as rational numbers.

1. Express each of the following as a rational number.

(i) 4.1 $\dot{2}$ $\dot{5}$

(ii) -2.0 $\dot{3}$

(iii) 10. $\dot{1}$ 2 $\dot{3}$

(iv) 0.4 $\dot{6}$ 7 $\dot{2}$

2. Express the following recurring decimals as vulgar fractions:

(i) 0. $\dot{4}$

(ii) 0.1 $\dot{6}$

(iii) 0. $\bar{15}$

(iv) 0.7 $\bar{43}$

Answers for the worksheet on recurring decimals as rational numbers are given below.

Answers:

1. (i) $\frac{2042}{495}$

(ii) - $\frac{61}{30}$

(iii) $\frac{3371}{333}$

(iv) $\frac{778}{1665}$

2. (i) $\frac{4}{9}$

(ii) $\frac{1}{6}$

(iii) $\frac{5}{33}$

(iv) $\frac{368}{495}$

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