Perform the following tasks involving recurring decimals.

MATHEMATICS · Multi-part · CBSE · Mathematics · Number Systems · Number Systems

Problem

Perform the following tasks involving recurring decimals. (i) Convert each of the following into a fraction in simplest form: (a) 1.32‾1.3\overline{2} (b) 0.47‾0.\overline{47} (ii) Find the sum of the two fractions obtained in part (i) and write the result as a single fraction in simplest form. (iii) Express the fraction found in part (ii) as a decimal correct to three places.

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