Question

How do i add
`-(3)/(10) plus (2)/(3 )\\`.

Answer 1

`-(3)/(10)+(2)/(3)=(2)/(3)+\left(-(3)/(10)\right)=(2)/(3)-(3)/(10)\\\\\text{We must find the common denominator.}\\\\Multiples\ of\ 3:0,\ 3,\ 6,\ 9,\ 12,\ 15,\ 18,\ 21,\ 24,\ 27,\ \boxed{30},\ 33,\ 36,...\\\\Multiples\ of\ 10:\ 0,\ 10,\ 20,\ \boxed{30},\ 40,\ 50,\ 60,...\\\\(2)/(3)=(2\cdot10)/(3\cdot10)=(20)/(30)\\\\(3)/(10)=(3\cdot3)/(10\cdot3)=(9)/(30)\\\\(2)/(3)-(3)/(10)=(20)/(30)-(9)/(30)=(20-9)/(30)=(11)/(30)`