Recurring decimals and rational numbers are closely related
MATHEMATICS · Multi-part · CBSE · Mathematics · Number Systems · Number Systems
Problem
Recurring decimals and rational numbers are closely related. Read the statements below and respond.
(i) Explain why every decimal expansion that contains a repeating block of digits represents a rational number.
(ii) Using an algebraic method, convert 0.081 to a fraction and simplify your answer.
(iii) Write the fraction obtained in part (ii) as a mixed number, if necessary.