Solve -3 13 +15 17 (-3 13 )+17 15 . - Vidyadip

Question

Solve $\frac{-3}{13}+\frac{15}{17} \times\left(\frac{-3}{13}\right)+\frac{17}{15}.$

✓

Answer

We have,
$ \begin{array}{l} \frac{-3}{13}+\frac{15}{17} \times \frac{-3}{13}+\frac{17}{15} \\ =\frac{-3}{13} \times\left[1+\frac{15}{17}\right]+\frac{17}{15}=\frac{-3}{13} \times\left[\frac{17+15}{17}\right]+\frac{17}{15} \\ =\frac{-3}{13} \times\left[\frac{32}{17}\right]+\frac{17}{15}=\frac{-96}{221}+\frac{17}{15} \\ =\frac{-96 \times 15+221 \times 17}{221 \times 15}=\frac{-1440+3757}{3315}=\frac{2317}{3315} \end{array} $

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