Here is an example. The fraction to simplify is 6/12. See if there is a common factor between the numerator and the denominator. In this case, 3 happens to be a common factor. Divide numerator and denominator by 3. The result is 2/4. See if there are more common factors, and repeat. Dividing numerator and denominator by 2, you get 1/2. You could also have divided numerator and denominator of the original fraction by 6, with the same final result - but sometimes it is easier to do it in parts.
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7 & 11 have no common factor: both are prime.
Cancelling out common factors means you are working with smaller numbers. It is usually, but not always, beneficial.
You can't simplify that. There are no common factors.You can't simplify that. There are no common factors.You can't simplify that. There are no common factors.You can't simplify that. There are no common factors.
To simplify fractions, look for common factors - factors that are shared by both numbers, in this case, 4 and 8. If you find one, divide both numbers by the common factor. Repeat, until there are no more common factors.
No. To multiple fractions multiple the numerators together and multiply the denominators together and simplify (by dividing both numerator and denominator of the result by common factors until the only common factor is 1). The denominators only need to be the same when adding or subtracting fractions.