Question 140

If the following fractions are arranged in an ascending order (from left to right), which of them will be the second from the left end?

$$\frac{2}{7}, \frac{3}{13}, \frac{5}{11}, \frac{7}{15}, \frac{4}{9}$$

Solution

In order to arrange $$\frac{2}{7}, \frac{3}{13}, \frac{5}{11}, \frac{7}{15}, \frac{4}{9}$$ either in ascending or descending order one should be good with simple calculations .

$$\frac{2}{7}$$ = 0.285

$$\frac{3}{13}$$ = 0.230

$$\frac{5}{11}$$ = 0.454

$$\frac{7}{15}$$ = 0.466

$$\frac{4}{9}$$ = 0.444

Clearly the ascending order is

$$\frac{3}{13}, \frac{2}{7}, \frac{4}{9}, \frac{5}{11}, \frac{7}{15}$$

and hence the 2nd number from left side is $$\frac{2}{7}$$



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