Thread: Grade 9 algebra with fractions

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)

Originally Posted by josh16

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)

Use the distributive property:

Thus:

then:

Find the common denominator:

Subtract to get:

Add:

Which can be rewritten as (if you want):