Question

Simplify the expression by combining like terms.

4/3a - 1/2b + 1/3a + 5/2b

Answer 1

Answer: 5/3a + 4/2b

Explanation:

Answer 2

`(4)/(3) a-(1)/(2) b+(1)/(3) a+(5)/(2) b`

Rearrange:

`(4)/(3) a+(1)/(3) a-(1)/(2) b+(5)/(2) b`

Combine Like Terms:

`(4)/(3) a+(1)/(3) a=(5)/(3) a\\-(1)/(2)b+(5)/(2) b=(4)/(2) b`

`\fbox{$(5)/(3)$a + $(4)/(2)$b}`