When simplified, the fraction 20 + 15 + 20 + 15 equals

20 + 15 + 20 + 15 = 20 + 15 + 25 + 15 = 20 + 15 + 10 = 2115 = 2 15 = 30

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South African Mathematics Olympiad

South Africa algebra

Problem

When simplified, the fraction

\frac{2}{0 + \frac{1}{5 + \frac{2}{0 + \frac{1}{5}}}}

equals

Solution

\frac{2}{0 + \frac{1}{5 + \frac{2}{0 + \frac{1}{5}}}} = \frac{2}{0 + \frac{1}{5 + \frac{2}{5 + \frac{1}{5}}}} = \frac{2}{0 + \frac{1}{5 + 10}} = \frac{2}{\frac{1}{15}} = 2 \times 15 = 30

Final answer

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Fractions