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

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Solution

Given

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

$= \frac{5}{2} - \frac{21}{10} + (\frac{- 2}{5})$

$= \frac{5}{2} - \frac{21}{10} - \frac{2}{5}$

$= \frac{5 \times 5}{2 \times 5} - \frac{21}{10} - \frac{2 \times 2}{5 \times 2}$

$= \frac{25}{10} - \frac{21}{10} - \frac{4}{10}$

$= \frac{25 - 21 - 4}{10}$

$= \frac{25 - 25}{10}$

$= \frac{0}{10} = 0$

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Similar questions

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

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

Using appropriate properties find:
$- \frac{2}{3} \times \frac{3}{5} + \frac{5}{2} - \frac{3}{5} \times \frac{1}{6}$

Using appropriate properties find.

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

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

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