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What happens if the denominator is the same when multiplying fractions for example 3 over 8 times 1 over 8?
Do you know how to multiply fractions if the denominators are different ?Multiply the numerators to get the numerator and multiply denominatorsto get the denominator ? Is that right ?Well, that rule doesn't actually say anything about whether the denominatorsare the same or different, does it.That's because it doesn't matter. The rule is good either way.
What happens to the denominator when you add fractions?
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.
Why is it easier to compare fractions with the same rather than denominator?
If the fractions have different denominators, you need to: 1) Convert to equivalent fractions with a common denominator, 2) Compare the numerators. If the fractions already have the same denominator, there is no need for the first step - which happens to be the most difficult step. Note that as a shortcut, you don't need the LEAST common denominator, any denominator can do. Thus, you can just use the product of the two denominators as the common denominator. As a result, to compare the fractions, you simply multiply the numerator of each fraction by the denominator of the other one, and then compare. However, this is still more work than simply comparing two numbers.
What happens when you have two fractions that have the same denominator?
Nothing actually happens. You are now in a position where the fractions may be added or subtracted more easily but that is all.
What happens when you multiply a fraction by a fraction?
Just multiply straight through. Numerator times numerator and denominator times denominator. a/b * c/d = ac/bd ======
What happens if the denominator is the same when multiplying fractions for example 3 over 8 times 1 over 8?
Do you know how to multiply fractions if the denominators are different ?Multiply the numerators to get the numerator and multiply denominatorsto get the denominator ? Is that right ?Well, that rule doesn't actually say anything about whether the denominatorsare the same or different, does it.That's because it doesn't matter. The rule is good either way.
What happens to the denominator when you add fractions?
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.
Why is it easier to compare fractions with the same rather than denominator?
If the fractions have different denominators, you need to: 1) Convert to equivalent fractions with a common denominator, 2) Compare the numerators. If the fractions already have the same denominator, there is no need for the first step - which happens to be the most difficult step. Note that as a shortcut, you don't need the LEAST common denominator, any denominator can do. Thus, you can just use the product of the two denominators as the common denominator. As a result, to compare the fractions, you simply multiply the numerator of each fraction by the denominator of the other one, and then compare. However, this is still more work than simply comparing two numbers.
What happens when you have two fractions that have the same denominator?
Nothing actually happens. You are now in a position where the fractions may be added or subtracted more easily but that is all.
When subtracting like fractions what happens to the numerator and the denominator?
The fractions are re-scaled so that the denominators are the same and then the numerators are subtracted as required by the signs.
What happens when you multiply a fraction by a fraction?
Just multiply straight through. Numerator times numerator and denominator times denominator. a/b * c/d = ac/bd ======
What happens when you multiply both a numerator and a denominator of a fraction by 4?
You will get an equivalent fraction.
When you add or subtract fractions with the same denominators what happens to the denominator in your answer?
It stays the same. Only the numerators change.
What happens when you multiply both the numerator and denominator of a fraction by 4?
The value of the fraction remains unchanged
What happens when you multiply the numerator and denominator in a fraction by nine?
You get an equivalent fraction which is not in its reduced (or simplest) form.
Why is it that when solving a dividing fractions problem no actual dividing happens?
It's easier to multiply the reciprocal.
What happens when you add subtract multiply and divide fractions?
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).
