If the denominators are not the same, then you have to use equivalent fractions which do have a common denominator . To do this, you need to find the least common multiple (LCM) of the two denominators. To add fractions with unlike denominators, rename the fractions with a common denominator. Then add and simplify.
Yes.
You cannot ad or subtract variables with different exponents: the exponents must be the same. The coefficients are added or subtracted and the exponent of the answer is the common exponent. (The rules are similar to those for the denominators of fractions.)Thus 2x^2 + 5x^3 cannot be combined into a single term.while 2x^2 + 5x^2 = (2+5)*x^2 = 7x^2
no dumby it is just term
They must have compatible units of measure. For example, you cannot directly add a quantity measured in meters to a quantity measured in centimeters. If their units of measure are compatible but not identical, one can be converted to the other. On the other hand, there is no way to add a quantity in feet to a quantity in pounds, as those are incompatible units of measure. Additionally, if the quantities are fractions, they must also have the same denominators, also called sharing a common denominator.
like, common denominator
Unlike fractions have denominators that are unequal, and therefore cannot be added or subtracted. If two fractions need to be added or subtracted they must first be converted to like fractions.
That simply means that the fractions have different denominators. Such fractions cannot be directly added, subtracted, or compared; you have to convert them to a common denominator first.
The denominator (bottom number) must be the same for all the fractions being added or subtracted together.
Nothing actually happens. You are now in a position where the fractions may be added or subtracted more easily but that is all.
LCD is the Lowest Common Denominator which is the lowest number into which the denominators of all the fractions will each divide exactly. Each of the fractions can then be converted to an equivalent fraction with the new denominator which then allows the fractions to be added and/or subtracted.
Because God made it so O.o
Fractions can only be added or subtracted if the denominators are the same. If the denominators are different, then the fractions need to be made into equivalent fractions with the same denominator. The new denominator can be found simply by multiplying the denominators together, but this can lead to some large fractions with which to work. A better new denominator is the lowest common multiple of (all the) denominators. (Once the new denominator is found, the fractions' new numerators are found by multiplying their current numerator by the new denominator divided by their current denominator to make their equivalent fractions with the new denominator.) Once all the fractions are converted into equivalent fractions with the new denominator then the fractions can be added or subtracted, with the result being simplified (if possible).
When the denominators of two or more fractions are the SAME, then they can be added or subtracted directly. An easy way is to multiply each denominator by the other (along with its corresponding numerator).
By finding the lowest common multiple of the fractions with different denomiators that need to be added or subtracted
Fractions and mixed numbers are numbers that can be added, multiplied, divided and subtracted. This is taught in math.
No because in order to subtract or add fractions the denominator of the fractions must be the same and if they are not then the lowest common denominator of the fractions must be found. Having subtracted or added the fractions then it may be possible to simplify the result.