The fractions are re-scaled so that the denominators are the same and then the numerators are subtracted as required by the signs.
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.
Nothing happens unless you make it happen. What you need to do is to convert the given fractions into equivalent fractions - all with the same denominator. This can simply be the product (multiple) of all the denominators but it is more efficient to use their least common multiple (LCM). This is because using the LCM ensures that you will be working with the smallest numbers.
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.
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.
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
The value of the fraction decreases.
The least common denominator, or LCD, is the smallest positive integer that all the members of a given set of denominators will divide into evenly with no remainder. also The least common denominator in fractions is the lowest "bottom" number to which all the fractions in the equation can equal for the purposes of addition and subtraction. When adding fractions, you must ensure that all fractions have the same denominator. Although it's okay to add numerators, you cannot add denominators. For example, 1/5 + 3/5 = 4/5, not 4/10. So, what do you do if you have to calculate, say, 1/2 + 1/3? Since the denominators are different, you can't simply add them up. You must find the least common denominator (LCD) and find the equivalent fractions for each of the two original fractions using the LCD in their denominators. One way of finding a common denominator -- albeit not necessarily the least (smallest) one -- is to multiply the two denominators. In the example above, 2 x 3 = 6. Six, therefore, could be substituted for the denominators of both fractions, and in this case it happens to be the LCD. But how DO you add 1/2 + 1/3? We established 6 as the new denominator, so what fraction with 6 in the denominator is equal to 1/2? Well, 3/6 is equal to 1/2. And what fraction with 6 in the denominator is equal to 1/3? That would be 2/6. So, now we have 3/6 + 2/6 = 5/6. The Least Common Denominator (or LCD) is the Least Common Multiple (LCM) of the denominators of a pair of fractions. The lowest multiple the denominators have in common.
Nothing actually happens. You are now in a position where the fractions may be added or subtracted more easily but that is all.
The simplified answer would be 3/10. To find that answer, you would have to take 1/2 and 1/5 and find the LCD, which happens to be 10. Then, you would take your denominator of 10 and make 1/2 and 1/5 into equivalent fractions with denominators of 10. You must multiply the numerator by the LCD divided by the denominator, Which turns 1/2 into 5/10 and 1/5 into 2/10. Then you subtract 5/10-2/10 which is 3/10. Then you would simplify but there is no GCM for 3 and 10, so there you have your answer!
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).
If you mean the numbers 2, 4, 8 and 16, that's because the only prime factor of those numbers is the number 2 - and 2 is also a factor of 10. The same happens with denominators that only have 5 as a factor - such as 5, 25, 125.
How do you add or subtract energy?
I call them Dolly fractions.
If a fraction's denominator is increased, the number gets smaller. If a fraction's denominator is decreased, the number gets bigger.
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 result will be 0.
You get an isotope.
The answer is a rational number.
The fraction gets smaller.
The value of the fraction increases.
the entire fraction decreases
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