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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