Question

a.1/2 -(1/3+1/10)

b.1/12-(-1/6 -1/4)

 

Answer 1

a. \(\dfrac{1}{2}-\left(\dfrac{1}{3}+\dfrac{1}{10}\right)=\dfrac{1}{2}-\dfrac{13}{30}=\dfrac{1}{15}\) 

b. \(\dfrac{1}{12}-\left(\dfrac{-1}{6}-\dfrac{1}{4}\right)=\dfrac{1}{12}-\left(-\dfrac{5}{12}\right)=\dfrac{6}{12}=\dfrac{1}{2}\)

Answer 2

`a) 1/2 - (1/3 + 1/10)`

`=1/2 - 1/3 -1/10`

`=(1/2 - 1/10 ) -1/3 = (5/10 - 1/10) -1/3`

`=2/5 - 1/3 = 6/15 - 5/15`

`=1/15`

`b) 1/12-(-1/6 -1/4) `

`=1/12 + 1/6 +1/4`

`=1/12 + 2/12 + 3/12`

`=6/12 = 1/2`

Answer 3

`1/2 - (1/3+1/10)`

`=1/2 - (10/30 + 3/30)`

`=1/2 -((10+3)/30)`

`=1/2 -13/30`

`=15/30  -13/30`

`=(15-13)/30`

`=2/30`

`=1/15`

__________________________

`1/12 - (-1/6 - 1/4)`

`=1/12 + 1/6 + 1/4`

`=1/12 + 2/12 + 3/12`

`=(1+2+3)/12`

`=6/12`

`=1/2`