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Q: What happens when you multiply both the numerator and the denominator of a fraction by 9?

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You will get an equivalent fraction.

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

The value of the fraction remains unchanged

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

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

It is then an improper or 'top heavy' fraction

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

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 numerator changes sign.

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

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).

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.

The fraction decreases. 1/3 is smaller than 1/2.

To understand this, look at what happens as the denominator approaches zero. Remember that you can always multiply the numerator and denominator by the same amount (which is equivalent to multiplying the entire fraction by 1):1/1 = 11/.1 = (1x10)/(.1x10) = 10/1 = 101/.01 = (1x100)/(.01x100) = 100/1 = 1001/.001 = (1x1000)/(.001x1000) = 1000/1 = 1000Notice that as the denominator gets smaller, the value of the fraction gets larger. As the denominator goes to zero, the numerator becomes infinitely large. Many people either have no use for, or are uncomfortable with, the concept of infinity, so they say that a fraction with zero in the denominator is undefined.Now consider that the numerator and denominator are both algebraic functions, rather than numeric values; for example let the numerator be (4 - z2) and the denominator be (2z - 4). When z = 2, the numerator and denominator both evaluate to zero - but in this case the fraction may still be defined - it depends on which function approaches zero faster - calculus gives us the tools to determine that.

If you mean multiplying numerator and denominator by different numbers, the result is then a different ratio. If you mean variously multiplying the numerator and denominator by the same number on different occasions, the result is unchanged.

Then the answer is straightforward - 0 When a numerator is zero it means that the value of the fraction is also 0. For example: there are 0/4 pieces of pie The numerator is 0 (the top number) The denominator is 4 (the bottom number) The value of the fraction is 0 because the numerator is zero (there are no pieces of pie)

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.

The improper fraction has not been converted completely to a mixed fraction. There is still an integer value that can be moved across from the fractional part to the integer part.

A mixed number is simply a whole number and a fraction. The value of a mixed number would be the whole number added to the fraction. To find its reciprocal: _______________________________________________________________ 1. You need to make the mixed number into a improper fraction. To do this, take the denominator times the number in front. Then add the result to the numerator. Then the improper fraction is that result over the denominator. A mixed number is formatted as a leading number and a fraction. If X is the leading number, D is the denominator, N is the numerator: X and N/D=(X*D+N)/D _______________________________________________________________ 2. Then take this new fraction and flip the numerator and the denominator: D/(X*D+N) _______________________________________________________________ So to get the reciprocal of a mixed number in one step, the reciprocal's: numerator is equal to the denominator of the mixed number; denominator is equal to the leading number multiplied by the denominator added to the numerator: D/(X*D+N)

the entire fraction decreases

The fraction gets smaller.

The value of the fraction increases.

If a fraction's denominator is increased, the number gets smaller. If a fraction's denominator is decreased, the number gets bigger.

An improper fraction in a mixed number means that the integer part of the mixed number should be increased: the denominator goes into the numerator at least one more type.An improper fraction in a mixed number means that the integer part of the mixed number should be increased: the denominator goes into the numerator at least one more type.An improper fraction in a mixed number means that the integer part of the mixed number should be increased: the denominator goes into the numerator at least one more type.An improper fraction in a mixed number means that the integer part of the mixed number should be increased: the denominator goes into the numerator at least one more type.

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