Question

2 2/3 + 12 6/8 how do I work this

Answer 1

`\large\boxed{2(2)/(3)+12(6)/(8)=15(5)/(12)}`

Explanation:

`2(2)/(3)+12(6)/(8)=2(2)/(3)+12(6:2)/(8:2)=2(2)/(3)+12(3)/(4)\\\\\text{Find}\ LCD:\\\\\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,\ ...\\\\12=3\cdot4\\\\\text{therefore}\\\\(2)/(3)=(2\cdot4)/(3\cdot4)=(8)/(12)\\\\(3)/(4)=(3\cdot3)/(4\cdot3)=(9)/(12)\\\\2(2)/(3)+12(3)/(4)=2(8)/(12)+12(9)/(12)=(2+12)+(8+9)/(12)=14+(17)/(12)\\\\=14+1(5)/(12)=15(5)/(12)`