Question

4/9 + 3r - 2/3 + 1/5r combine like terms and simplify.
I need someone to walk me through the steps so that I can understand what I am doing. please and thank you.

Answer 1

ok so the first step is your going to subtract -4/9 from -2/3: you know how to subtract fractions and find the LCD right

Answer 2

not really, can you explain a little more please?

Answer 3

To combine -4/9 and -2/3 they will need to have the same number in the bottom of the fraction. What is their least common multiple?

Answer 4

And that isn't -4/9 I meant 4/9 and -2/3 sorry

Answer 5

ok

Answer 6

So how can you make the bottom number the same for both fractions?

Answer 7

THE LCD IS 9

Answer 8

Right! So now you can multiply 3/3 by 2/3 (because whatever you do to the bottom you have to do to the top and vice versa) to get 6/9. Now this fraction is compatible with 4/9 and they can be combined

Answer 9

then what step do i do next

Answer 10

now you need to subtract 6/9 from 4/9

Answer 11

I got 2/9

Answer 12

right but it will be negative

Answer 13

so -2/9

Answer 14

Now we need to work with 3/r and 1/5r. We will need to do exactly the same thing to make sure they both have the same number on the bottom

Answer 15

15 is the LCD

Answer 16

actually you can just leave 1/5r the same and change 3/r to 15/5r

Answer 17

how do i show thee work to get 15/5r

Answer 18

You would have to show that you multiplied 3/r by 5/5.

Answer 19

The same as you did for the previous fraction

Answer 20

yup