Question 26

What is the difference between the greatest and the smallest of the fractions $$\frac{5}{8}, \frac{3}{4}, \frac{4}{7}, \frac{2}{3}, \frac{5}{9}$$?

Solution

In decimals the fractions are about 0.625, 0.75, 0.571, 0.667 and 0.556. The greatest is $$\frac{3}{4}$$ and the smallest is $$\frac{5}{9}$$. Their difference is $$\frac{27}{36} - \frac{20}{36} = \frac{7}{36}$$.

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