Question

Simplify. X over 4+x over 3 all over x/2

Answer 1

Question:

`(x/4+x/3)/(x/2)`

Answer:

`(7)/(6)`

Steps:

Apply the fraction rule:
`(a)/((b)/(c))=(a\cdot \:c)/(b)`

`=(\left((x)/(4)+(x)/(3)\right)\cdot \:2)/(x)`

Join
`\:(x)/(4)+(x)/(3):\quad (7x)/(12)`

`=(2\cdot (7x)/(12))/(x)`

Multiply:
`(7x)/(12)\cdot \:2\::\quad (7x)/(6)`

`=((7x)/(6))/(x)`

Apply the fraction rule:
`((b)/(c))/(a)=(b)/(c\:\cdot \:a)`

`=(7x)/(6x)`

Cancel the common factor: x

`=(7)/(6)`