Find the value of the following using the appropriate properties-
$\frac{3}{5} \times (\frac{- 3}{7}) - \frac{2}{7} \times \frac{3}{2} + \frac{3}{15} \times \frac{5}{9}$

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Solution

Given
$(\frac{3}{5}) \times (\frac{- 3}{7}) - (\frac{2}{7}) \times (\frac{3}{2}) + \frac{3}{15} \times \frac{5}{9}$
$= - \frac{9}{35} - \frac{3}{7} + \frac{1}{15}$
$= - \frac{9 \times 3}{35 \times 3} - \frac{3 \times 15}{7 \times 15} + \frac{1 \times 7}{15 \times 7}$
$- \frac{27}{105} - \frac{45}{105} + \frac{7}{105}$
$= \frac{- 27 - 45 + 7}{105}$
$= \frac{- 64}{105}$
$= \frac{- 13}{21}$

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Similar questions

\frac{3}{5} \times (\frac{- 3}{7}) - \frac{3}{7} \times \frac{3}{2} + \frac{3}{15} \times \frac{5}{9}

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

- \frac{2}{3} \times \frac{3}{5} + \frac{5}{2} - \frac{3}{5} \times \frac{1}{6} .

Using appropriate properties find:

(i) $- \frac{2}{3} \times \frac{3}{5} + \frac{5}{2} - \frac{3}{5} \times \frac{1}{6}$

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

Using appropriate properties, find:

i) $- \frac{2}{3} \times \frac{3}{5} + \frac{5}{2} - \frac{3}{5} \times \frac{1}{6}$

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

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