I know the answer i just dont know why!?

Question

forgive the way i have written it. 1 over x + 2 over x. The answer is 3 over x. Why is this does anybody know.

Answer 1

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Because the bottom number is the same- X, so u add the top number-1+2, and u get 3. let me show you-- 1/x+2/x=3/x
Arent i right???!!!!!!!!!!

Answer 2

x=1

Answer 3

Because, X is the base. It is the denominator. 1 and 2 are the nominators. The nominator tells you the fraction of the denominator. To add or to subtract, from a fraction or with fractions, the base value or the denominator has to be the same or made the same.

Otherwise, the fractions would be added to or subtracted from different bases, and so, adding them would likely be an error because they are different portions of the whole.

For example, if you took a gram from a kilogram, it would be the fraction 1/1000, but if you took the fraction 1/10000, it would be 0.1 grams.

Adding them either one of the denominators, you would get 1 + 1 / 1000 which would give you 2 grams, or 1 + 1 / 10000 which would give you 0.2 grams. But since we know that 1 + 0.1 is 1.1, both these values are erroneous.

To add them correctly, you will first have to make the denominators, or bases equal. In this case, the denominator 1 / 1000 is made into the denominator 10 / 10000 by multiplying it by 10. This gives you the figure 10 / 10000 + 1 / 10000 which is 11 / 10000.

To get the answer in grams, you will have to divide the fraction by 10, which gives you the answer, 1.1 grams.

Answer 4

Pretend that x is, say, 2. You have 1/2 plus 2/2. That would be 1 1/2, which is the same as 3/2. It works with any number: 1/3 + 2/3 = 3/3. Get it? If the bottom numbers are the same, you just add up the numerators.

Answer 5

You know what? The first time I read your question I thought you meant 1/(x+2) divided by x, but when I started to work through it I realised that didn't work. Or at least I didn't get the same answer as you.

To answer your question, X is the denominator, 1 and 2 are both numerators. If the denominators are the same it is possible to just add the numerators and stick with the same denominator. So yes, the answer will be 3/x.

Answer 6

Think of the x as the number 8, then 1/8+2/8=3/8

Algebra is the same. If the denominators are the same simply add (or subract) the numerators

1/x+2/x=3/x

Answer 7

Because there is a common denominator, x. It's the same as 1/2 + 2/2 = 3/2. If you had 1/4 + 1/2, you'd have to change 1/2 to 2/4 before you could add them.

Answer 8

1/x + 2/x

If you had 1/10 + 2/10 wouldn't you just add the numerators and put the result over the common denominator?

1/x + 2/x = (1 + 2)/x = 3/x

When you start algebra you still need to remember all math that come before it

Answer 9

If you multiply the first part by x you get 1 plus 2. The answer to this is 3.

Then you have to reverse the multiplication you did by dividing that answer by x.

The result is 3 over x.

Hope this helps

Answer 10

I have written it 3 different ways, so it easy for you to understand!

because the denomintors are the same so all you have to do is add up the numerator

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because the bottom amount is the same amount, would be the same if you substituted a number for the X.

if it was a different letter it wouldnt work the same would be e.g: 3 over XY

hope this helps

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If you multiply the first part by x you get 1 plus 2. The answer to this is 3.

Then you have to reverse the multiplication you did by dividing that answer by x.

The result is 3 over x.

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Answer 11

Think of it this way:

Suppose 'over x' was the money in some country ... like it was a peculiar name for a pound or a dollar or something.

Then your sum is just the same as

1 dollar + 2 dollars =

and its obvious that the answer is 3 dollars.

And it doesn't matter whether they are pounds, dollars, or sea-shells the arithmetic works just the same.

In your sum the 'chunks' you are adding together are not called 'dollars', they are called 'over x'. And the arithmetic works just the same.