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23+56\frac{-2}{-3} + \frac{-5}{6}

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Q. 23+56\frac{-2}{-3} + \frac{-5}{6}
  1. Convert fractions to common denominator: Now we convert each fraction to have the common denominator of 66. The first fraction (2)/3(-2)/-3 is equivalent to (2×2)/(3×2)(-2 \times 2)/(-3 \times 2) because we multiply both the numerator and the denominator by 22 to get the common denominator of 66. This simplifies to 4/64/6.
  2. Simplify fractions: The second fraction (5)/6(-5)/6 already has the common denominator, so we do not need to change it.
  3. Add fractions with common denominator: Now we add the two fractions with the common denominator: 46+(56)\frac{4}{6} + \left(-\frac{5}{6}\right).
  4. Calculate sum of fractions: Adding the numerators of the fractions, we get 4+(5)4 + (-5) which is 1-1. The denominator remains 66. So the sum of the two fractions is 16-\frac{1}{6}.

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