I don't know how to answer these questions *please show work so i can understand*.
1) 1/3 (3a + 2) + 1/4 (4a - 2)
2) 1/2 (x - 2y) + 1/3 (3y - 2x)
3) 2/3 (3m - 2) - 3/4 (8m- 2)
4) - 1/4 (4u - 3v) - 3/5 (6u - 10v)
Use the distributive property: $\displaystyle \frac{1}{3}\times3a+\frac{1}{3}\times2+\frac{1}{4} \times4a-\frac{1}{4}\times2$
Thus: $\displaystyle a+\frac{2}{3}+a-\frac{2}{4}$
then: $\displaystyle 2a+\frac{2}{3}-\frac{1}{2}$
Find the common denominator: $\displaystyle \frac{12a}{6}+\frac{4}{6}-\frac{3}{6}$
Subtract to get: $\displaystyle \frac{12a}{6}+\frac{1}{6}$
Add: $\displaystyle \frac{12a+1}{6}$
Which can be rewritten as (if you want): $\displaystyle \frac{1}{6}(12a+1)$