MATHEMATICS · Multi-part · CBSE · Mathematics · Number Systems · Number Systems
Problem
Consider the decimal number
D=0.38151515…,
where the two–digit block "15" repeats indefinitely beginning immediately after the digit 8.
(a) Determine the exact value of D as a fraction in lowest terms. Show all steps in your reasoning.
(b) Convert the fraction you obtained in part (a) back to decimal form and explain how this verifies your result.