Question

1/2x + 1/2x

Answer 1

You want to combine them?

Answer 2

Simplify each sum or difference.state any restrictions on the variables.

Answer 3

@Nanoman

Answer 4

Okay. First of all, x is a variable. When you're adding variables, you can only add similiar kinds of variables. Example: x + x can be added, because both of them are x. x + n can't be added, because they are two different variables. x = some number, and n = some number. We don't know what they are, so we assume they are different. When you add x + x, how many xs do you have?

Answer 5

oh okay i see i have 2x's @Nanoman

Answer 6

Right! We call that 2x. It means the number of xs is 2 times x.

Answer 7

ok so its still 1/2x + 1/2x ?
@Nanoman

Answer 8

wouldn't it just be x ?

Answer 9

To solve your question, we need to make sure of one thing: Is the equation 1/2 * x, or 1/(2x)?

Answer 10

here its number 11.
@Nanoman

Answer 11

Very good! You denoted it perfectly.

Answer 12

thank you c:

Answer 13

it would just be x right ?

Answer 14

idk ? @kelliegirl33

Answer 15

We can expand 1/2x like this: 1/2 * 1/x. This is because x is under the dividing line, and not on top. If it was on top, it would be 1/2 * x. So, do we have the same type of variable?

Answer 16

well...3x + 2x is 5x r, so wouldn't 1/2x + 1/2x = 1x = x ?

Answer 17

oops...typo..that r doesn't belong

Answer 18

@ericaajasminee Is it possible to add them?

Answer 19

no i dont think we add them and thanks @kelliegirl33 nd @Nanoman

Answer 20

Actually, we can. They are both 1/2x. They are identical. The constants of 1/2 are irrelevant. What matters is the 1/x.

Answer 21

Now this is almost as simple as adding fractions. Since the denominator is the same, we go:

1 + 1
-- --
2x 2x

The denominators will stay the same, but the numerators will add.

Answer 22

what about number 17?
@Nanoman

Answer 23

What did you get for 11?

Answer 24

oops...I was reading it wrong...I thought it was (1/2)x not 1/(2x)...sorry

Answer 25

2x ? @Nanoman

Answer 26

Not quite. Add the 1+1, and keep the 2x on the bottom.

Answer 27

so itll be 2/2x @Nanoman

Answer 28

Yes. We can simplify this though.

Answer 29

it is x

Answer 30

2 = 2 * 1 right?
2x = 2 * x right?

So, we can cancel out the twos on the fraction, giving us what?

Answer 31

your good Nanoman :)

Answer 32

@ericaajasminee What will it give us? Canceling out means removing.

Answer 33

Thanks Kellie!

Answer 34

you deserved it :)

Answer 35

Ping me when you've got it erica.

Answer 36

okay i got 1 ? @Nanoman i worked it all out thanks

Answer 37

Partially right, when we cancel we have a 1 on top. Wat's left on the bottom?

Answer 38

What do you get for 2* 1 When you remove the twos?
----
2x

Answer 39

The answer is 1
--
x

Answer 40

yeah thats what i got @Nanoman

Answer 41

Okay, great!