Using appropriate properties find: \( \frac{2}{5} \times(-\frac{3}{7}) - \frac{1}{6}\times \frac{3}{2} + \frac{1}{14} \times \frac{2}{5}\)

Asked by Aaryan | 1 year ago |  212

1 Answer

Solution :-

\(\frac{2}{5} \times(-\frac{3}{7}) - \frac{1}{6} \times \frac{3}{2} + \frac{1}{14} \times \frac{2}{5}\)

\(\frac{2}{5} \times(-\frac{3}{7}) + \frac{1}{14} \times \frac{2}{5}-\frac{1}{6} \times \frac{3}{2}\) (By commutativity)

\( \frac{2}{5} \times (-\frac{3}{7} + \frac{1}{14})- \frac{1}{4}\) (by distributivty)

=\( \frac{2}{5} \times (\frac{-3 \times 2 +1}{14}) - \frac{1}{14}\)

\(\frac{2}{5} \times (-\frac{5}{14})-\frac{1}{4}\)

\( \frac{1}{7}-\frac{1}{4}\)

=\( \frac{-4-7}{28} = \frac{-11}{28}\)

1 year ago

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