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

9th Grade Math

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