Instructions

What will come in place of the question mark (?) in the given question?

Question 142

$$\frac{\frac{2}{5}}{1\frac{1}{15}}-\frac{1}{4}=?-\frac{2}{3}$$

Solution

Expression : $$\frac{\frac{2}{5}}{1\frac{1}{15}}-\frac{1}{4}=?-\frac{2}{3}$$

=> $$\frac{\frac{2}{5}}{\frac{16}{15}} = x + \frac{1}{4} - \frac{2}{3}$$

=> $$\frac{2}{5} \times \frac{15}{16} = x - \frac{5}{12}$$

=> $$\frac{3}{8} = x - \frac{5}{12}$$

=> $$x = \frac{3}{8} + \frac{5}{12}$$

=> $$x = \frac{9 + 10}{24} = \frac{19}{24}$$


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