math help!?

Question

Kuba says that when you do the same thing to the top and the bottom of a fraction you get an equivalent fraction. Is Kuba right, or is it possible to do the same thing to the top and the bottom of a fraction and not get an equivalent fraction? Explain.

Please help! I have a few more questions, so if someone would like to give me their e-mail or something, that would be great!

Answer 1

Kuba is wrong.
For instance, add 1 to the top and bottom of 2/3 and you get 3/4.
2/3 does not equal 3/4. Similarly, you cannot subtract the same non-zero number from top and bottom, 2/3 (subtract one from top and bottom) does not equal 1/2.

You CAN multiply or divide top and bottom by the same number (as long as it isn't zero) and get an equivalent fraction.
2/3 = 4/6 = 6/9 = 8/12 etc.

Answer 2

Kuba is right... sometimes. If you multiply or divide the top and bottom by the same number (other than 0) you get the same result.

example: 6/15, divide top and bottom by 3, you get 2/5. This is how you simplify fractions.

However, adding and subtracting the same thing won't work.

Answer 3

Kuba is right (if he's talking about multiplying; not adding)

When you multiply a fraction by something like x/x where both the top and the bottom of x/x are the same, that is just the same as multiplying by one, and so therefore you do not change the value of your original fraction.

~ ♥ ~

Answer 4

Nope. Kuba is wrong.

This only applies to multiplication and division.
Adding or subtracting numbers will give a totally different fraction.
Also, doing anything involving exponents will give a different answer (squaring, square roots, etc.)

Answer 5

kuba sounds right. go with yes because whatever you do to the top you have to do to the bottom :)

Answer 6

1/2 = 2/4 = 3/6 = 6/12 = 12/24 etc etc

Answer 7

kuba is right. that's what my math teachers tought me.