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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 denominators
to get the denominator ? Is that right ?
Well, that rule doesn't actually say anything about whether the denominators
are the same or different, does it.
That's because it doesn't matter. The rule is good either way.
What else can I help you with?
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 to the denominator when you multiply fractions for example 3 over 8 times 1 over 8?
The new denominator is the product of all the old denominators. The denominator of 3/8 * 1/8 is [denom1] times [denom2] = 8*8 = 64
What happens if you divide or multiply a ratio by different numbers?
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.
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 add fractions and you get an improper fraction?
Example of an improper fraction is 11/4 To convert to a mixed fraction, divide the numerator 11 by the denominator 4 thus: 11 / 4 = 2 remainder 3 The 2 is the whole number, and the remainder 3 is placed over the denominator 4 thus: 2 3/4
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 to the denominator when you multiply fractions for example 3 over 8 times 1 over 8?
The new denominator is the product of all the old denominators. The denominator of 3/8 * 1/8 is [denom1] times [denom2] = 8*8 = 64
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.
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 if you divide or multiply a ratio by different numbers?
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.
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 add fractions and you get an improper fraction?
Example of an improper fraction is 11/4 To convert to a mixed fraction, divide the numerator 11 by the denominator 4 thus: 11 / 4 = 2 remainder 3 The 2 is the whole number, and the remainder 3 is placed over the denominator 4 thus: 2 3/4
Why do you have to multiply or divide the numerator or denominator of the fraction to find an equivalent fraction?
Equivalent fraction have the same value. Any whole number divided by itself is one Multiplying any number by 1 results in the same number. Thus when you multiply the numerator and denominator of a fraction by the same number, it leaves the value of the fraction the same, but the numerator and denominator will be different, creating an equivalent fraction. For example if you have a pizza and cut it in half, and take one of those pieces you will have 1/2 of the pizza. However, if you now cut the half you have and the half left on the plate into half again (each piece will be exactly the same size, a quarter of the pizza), you will still have half the pizza, but it will be made up of 2 of the 4 pieces of the pizza - you will have 2/4 of the pizza; thus 1/2 and 2/4 are equivalent fractions. Now, looking at those fractions again, what happens if you multiply the 1/2 by 2/2 (which is the same as multiplying by 2 ÷ 2 = 1): 1/2 x 2/2 = (1x2)/(2x2) = 2/4 so 1/2 and 2/4 are equivalent fractions. When dividing the numerator and denominator by the same number, this is really the same, but just going from a fraction with large numerator and denominator to one with smaller numerator and denominator - the reverse of the example above (sticking the pieces of pizza together again).
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.
What happens when you multiply both the numerator and the denominator of a fraction by 9?
Nothing, there is no change, since you are multiplying by 9/9 = 1.
How do you simplify fractions by cancelling common factors?
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.
What happens if one of the fractions is negative?
I call them Dolly fractions.
