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Let’s check out your problem:

(-2)/(3)×[(3)/(5)+((-5)/(6))]=?

−23×[35+(−56)]=? \frac{-2}{3} \times\left[\frac{3}{5}+\left(\frac{-5}{6}\right)\right]=?

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Full solution

Q. −23×[35+(−56)]=? \frac{-2}{3} \times\left[\frac{3}{5}+\left(\frac{-5}{6}\right)\right]=?
  1. Convert to common denominator: (\frac{3}{5}) + (\frac{-5}{6}) = (\frac{3\times6}{5\times6}) + (\frac{-5\times5}{6\times5})\(\newline= (\frac{18}{30}) + (\frac{-25}{30})\newline= (\frac{-7}{30})\)
  2. Multiply by (−2)/(3)(-2)/(3): Now, multiply the result by (−2)/(3)(-2)/(3).−23×−730=2×73×30\frac{-2}{3} \times \frac{-7}{30} = \frac{2\times7}{3\times30}=1490= \frac{14}{90}
  3. Simplify the fraction: Simplify the fraction. (14)/(90)=(7)/(45)(14)/(90) = (7)/(45)

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