Question

(-2/5×3/4+14/3-17/4×(-3/4) solve by suitable identity​

Answer 1

$\large \frac{ - 2}{5} \times \frac{3}{4} + \frac{14}{3} - \frac{17}{4} \times \frac{ - 3}{4} \\ \\ \\ = > \frac{3}{4} \bigg( \frac{ - 2}{5} + \frac{14}{3} - \frac{17}{4} \times - 1\bigg) \\ \\ = > \frac{3}{4} \bigg( \frac{ - 2}{5} + \frac{14}{3} + \frac{17}{4} \bigg) \\ \\ = > \frac{3}{4} \bigg( \frac{ - 24 + 280 + 255}{60} \bigg) \\ \\ = > \frac{3}{4} \times \frac{511}{60} = \frac{ \not{3} \times 511}{4 \times \not{3} \times 20} \\ \\ = > \frac{511}{80} \: \: = 6 \frac{31}{80}$