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Simplify the following expression as far as possible without using a calculator:5/6÷3/6×3/15?

Siphe  Aug 15, 2017
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$$\dfrac{5}{6}\div \dfrac{3}{6}\times \dfrac{3}{15}\\ =\dfrac{5}{6}\div \dfrac{1}{2}\times \dfrac{1}{5}\\ =\dfrac{5}{6}\times 2 \times \dfrac{1}{5}\\ =\dfrac{5\times 2}{6\times 5}\\ =\dfrac{10}{30}\\ =\dfrac{1}{3}$$