Simplify:
$ \left(\frac{5}{11} \times \frac{33}{-25}\right)-\left(\frac{7}{13} \times \frac{11}{35} \times \frac{-26}{33}\right) $

Given:

\( \left(\frac{5}{11} \times \frac{33}{-25}\right)-\left(\frac{7}{13} \times \frac{11}{35} \times \frac{-26}{33}\right) \)

To do:

We have to simplify the given expression.
Solution:
 $(\frac{5}{11} \times \frac{33}{-25})-(\frac{7}{13} \times \frac{11}{35} \times \frac{-26}{33})=\frac{5\times33}{11\times(-25)}-\frac{7\times11\times(-26)}{13\times35\times33}$

$=\frac{-3}{5}-\frac{-2}{5\times3}$

$=\frac{-3}{5}+\frac{2}{15}$

$=\frac{2-3\times3}{15}$    (LCM of 5 and 15 is 15)

$=\frac{2-9}{15}$

$=\frac{-7}{15}$

Therefore,

$(\frac{5}{11} \times \frac{33}{-25})-(\frac{7}{13} \times \frac{11}{35} \times \frac{-26}{33})=\frac{-7}{15}$.

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Updated on: 10-Oct-2022

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