Q: What happens when you multiply both a numerator and a denominator of a fraction by 4?

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You get an equivalent fraction which is not in its reduced (or simplest) form.

Nothing, there is no change, since you are multiplying by 9/9 = 1.

If the numerator of the fraction is increased and the denominator doesn't change, then the value of the fraction increases.

The fraction gets smaller or increases, depending on whether the numerator and denominator are positive or negative.

It is then an improper or 'top heavy' fraction

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Just multiply straight through. Numerator times numerator and denominator times denominator. a/b * c/d = ac/bd ======

You get an equivalent fraction which is not in its reduced (or simplest) form.

The value of the fraction remains unchanged

Nothing, there is no change, since you are multiplying by 9/9 = 1.

If the numerator of the fraction is increased and the denominator doesn't change, then the value of the fraction increases.

The fraction gets smaller or increases, depending on whether the numerator and denominator are positive or negative.

It is then an improper or 'top heavy' fraction

You have to double the numerator, but the value of the fraction remians the same but if you dont double the numerator then you dont have the same fraction

The result (which should be simplified) is another fraction of some kind: * a proper (or vulgar fraction) with the numerator (top number) less than the denominator (bottom number); * an improper fraction with the numerator greater than the denominator which can be converted into a mixed number; or * an integer (whole number).

The numerator changes sign.

The fraction reduces to 1 - UNLESS they are both zero, in which case the fraction is undefined.

You must find a common denominator. You figure out the smallest number that all of your denominators are divisible by. If you have to multiply the denominators by 2, you must multiply the numerators by 2, then add the numerators together, and write above the common denominator. If you have to multiply one denominator to equal the other denominator, then you must multiply the numerator above that denominator, and finally add up the numerators and place above the common denominator. Then reduce the answer to its smallest fraction.