Question

2/5+(-4/3)+(-1/2)

15/34+1/3+19/34-4/3+3/7

(-5/6)-(-3/8+1/10)

3/5+(-2/7)-(1,2)

Answer 1

`2/5+(-4/3)+(-1/2)`

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

`= 12/30 - 40/30 - 15/30`

`= (12-40-15)/30`

`= (-43)/30`

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`15/34+1/3+19/34-4/3+3/7`

`= (15/34 + 19/34) + ( 1/3 - 4/3) + 3/7`

`=34/34 + (-3/3) + 3/7`

`=1 + (-1) + 3/7`

`=1-1 + 3/7`

`=0 + 3/7`

`=3/7`

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`(-5/6)-(-3/8+1/10)`

`= (-5)/6 + 3/8 - 1/10`

`=(-100)/120 + 45/120 - 12/120`

`=(-100 + 45 -12)/120`

`=(-67)/120`

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`3/5+(-2/7)-(1,2)`

`=3/5 - 2/7 - 6/5`

`=21/35 - 10/35 - 42/35`

`=(21-10-42)/35`

`=(-31)/35`

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`#LeMichael`

Answer 2

\(\dfrac{2}{5}+\left(-\dfrac{4}{3}\right)+\left(-\dfrac{1}{2}\right).\\ =\dfrac{2}{5}-\dfrac{4}{3}-\dfrac{1}{2}.\\ =-\dfrac{43}{40}.\\ \\ \dfrac{15}{34}+\dfrac{1}{3}+\dfrac{19}{34}-\dfrac{4}{3}+\dfrac{3}{7}.\\ =\left(\dfrac{15}{34}+\dfrac{19}{34}\right)+\left(\dfrac{1}{3}-\dfrac{4}{3}\right)+\dfrac{3}{7}.\\ =1+\left(-1\right)+\dfrac{3}{7}.\\ =0+\dfrac{3}{7}=\dfrac{3}{7}.\)

\(\left(-\dfrac{5}{6}\right)-\left(-\dfrac{3}{8}+\dfrac{1}{10}\right).\\ =-\dfrac{5}{6}+\dfrac{3}{8}-\dfrac{1}{10}.\\ =-\dfrac{67}{120}.\\ \\ \dfrac{3}{5}+\left(-\dfrac{2}{7}\right)-\left(1,2\right).\\ =\dfrac{3}{5}-\dfrac{2}{7}-\dfrac{6}{5}.\\ =\left(\dfrac{3}{5}-\dfrac{6}{5}\right)-\dfrac{2}{7}.\\ =-\dfrac{3}{5}-\dfrac{2}{7}.\\ =-\dfrac{31}{35}.\)