Question

(1/5 + 1/3) ÷ (3/5 - 1/15) + 0,999...=

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Answer 1

$( \frac{1}{5} + \frac{1}{3} ) \div ( \frac{3}{5} - \frac{1}{15} ) + 0.999... = \\ ( \frac{3 + 5}{15} ) \div ( \frac{9 - 1}{15} ) + 0.999... = \\ \frac{8}{15} \div \frac{8}{15} + 0.999... = \\ 1 + 0.999... = \\ 1.999...$