Question

1/4 + -2/3 (SIMPLIFY)

Answer 1

`\large\boxed{(1)/(4)+-(2)/(3)=-(5)/(12)}`

Explanation:

`(1)/(4)+\left(-(2)/(3)\right)=(1)/(4)-(2)/(3)\\\\\text{You must find the common denominator.}\\\\\text{List of multiples of 3:}\ 0,\ 3,\ 6,\ 9,\ \boxed{12},\ 15,\ ...\\\text{List of multiples of 4:}\ 0,\ 4,\ 8,\ \boxed{12},\ 16,\ ...\\\\\text{The common denominator is}\ \boxeed{12}.\\\\3\cdot4=12\\\\(1)/(4)=(1\cdot3)/(4\cdot3)=(3)/(12)\\\\(2)/(3)=(2\cdot4)/(3\cdot4)=(8)/(12)\\\\\\(1)/(4)-(2)/(3)=(3)/(12)-(8)/(12)=(3-8)/(12)=-(5)/(12)`