# 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.

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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