Question

solve this question..​

Answer 1

Answer:

=1/2 - 2/3 - 3/4 - 5/6

= 18-24-27-30/36

= -63/36

= - 1.75

Answer 2

Answer- The above question is from 'Rational Numbers'.

Given question: Solve- $\dfrac{1}{2} - \dfrac{2}{3} + \dfrac{3}{(-4)} + 0 + \dfrac{(-5)}{6}$

Solution: $\dfrac{1}{2} - \dfrac{2}{3} + \dfrac{3}{(-4)} + 0 + \dfrac{(-5)}{6}$

= $\dfrac{1}{2} - \dfrac{2}{3} + \dfrac{3}{(-4)} + \dfrac{(-5)}{6}$

= $\dfrac{1}{2} - \dfrac{2}{3} + \dfrac{(-3)}{4} + \dfrac{(-5)}{6}$

Taking L.C.M. of all denominators i.e. L.C.M.(2,3,4,6) = 12, we get,

= $\dfrac{6}{12} - \dfrac{8}{12} + \dfrac{(-9)}{12} + \dfrac{(-10)}{12}$

= $\dfrac{6-8+(-9)+(-10)}{12}$

= $\dfrac{6-27}{12}$

= $\dfrac{-21}{12}$

= $\dfrac{-7}{4}$

∴ $\dfrac{1}{2} - \dfrac{2}{3} + \dfrac{3}{(-4)} + 0 + \dfrac{(-5)}{6}$ =  $\dfrac{-7}{4}$