The denominator cannot be zero.
No restrictions are required.
There can be no greatest denominator. Suppose x is the greatest denominator of two numbers a and b. That is to say, x is a multiple of a, x is a multiple of b and x is the greatest such number. Now consider the number 2x. It is a multiple of a, it is a multiple of b and it is greater than x. This contradicts the statement that x is the greatest such number. So such an x cannot exist.
Sure you can substitute that. You just have to be careful to avoid division by zero - but the same may happen with other numbers as well. For example:If you have a denominator "x", then you can't substitute "x" by zero.If you have a denominator "x - 1", then you can't substitute "x" by 1, because if you do, the denominator will be zero.
If there is no common factor, as in this case, you just have to multiply all the factors together to get the common denominator.
The denominator cannot be zero.
Substitute the variable in the denominator for a value that will make the denominator have a value of 0 or an imaginary number
There can be no greatest common denominator. For supose x is the greatest common denominator. ie 24 divides x and 36 divides x. Then 2x is a common denominator and 2x > x so 2x is a greater common denominator than the greatest common denominator. That contradiction implies that there is no greatest common denominator.
No restrictions are required.
You CAN have a variable in the denominator 1/x=1 is a simple example. The answer is x=1. The other is 10/x=2 x=5.
Numerator = 12, Denominator = 36 x/(x+24)=1/3 (x is the numerator) 3x=x+24 2x=24 x=12 Numerator = 12 Denominator = 12+24 = 36
The denominator cannot be 0. A number with denominator 0 is not defined.
The least common denominator is 3x.
6
Multiply numerator and denominator by 2 to get an equivalent fraction: 7 x 2 15 x 2 = 14 30 Multiply numerator and denominator by 3 to get an equivalent fraction: 7 x 3 15 x 3 = 21 45 Multiply numerator and denominator by 4 to get an equivalent fraction: 7 x 4 15 x 4 = 28 60 Multiply numerator and denominator by 5 to get an equivalent fraction: 7 x 5 15 x 5 = 35 75 Multiply numerator and denominator by 6 to get an equivalent fraction: 7 x 6 15 x 6 = 42 90 Multiply numerator and denominator by 7 to get an equivalent fraction: 7 x 7 15 x 7 = 49 105 Multiply numerator and denominator by 8 to get an equivalent fraction: 7 x 8 15 x 8 = 56 120 Multiply numerator and denominator by 9 to get an equivalent fraction: 7 x 9 15 x 9 = 63 135 Multiply numerator and denominator by 10 to get an equivalent fraction: 7 x 10 15 x 10 = 70 150 Multiply numerator and denominator by 11 to get an equivalent fraction: 7 x 11 15 x 11 = 77 165 Multiply numerator and denominator by 12 to get an equivalent fraction: 7 x 12 15 x 12 = 84 180 Multiply numerator and denominator by 13 to get an equivalent fraction: 7 x 13 15 x 13 = 91 195 Multiply numerator and denominator by 14 to get an equivalent fraction: 7 x 14 15 x 14 = 98 210 Multiply numerator and denominator by 15 to get an equivalent fraction: 7 x 15 15 x 15 = 105 225
There can be no greatest denominator. Suppose x is the greatest denominator of two numbers a and b. That is to say, x is a multiple of a, x is a multiple of b and x is the greatest such number. Now consider the number 2x. It is a multiple of a, it is a multiple of b and it is greater than x. This contradicts the statement that x is the greatest such number. So such an x cannot exist.
You multiply the numerator and the denominator by the same expression - and do it in such a way that the denominator becomes rational.Example 1: The denominator is square root of 5, which I will call root(5). If you multiply top and bottom by root(5), the denominator will become rational. Example 2: The denominator is root(2) + root(3). If you multiply top and bottom by root(2) - root(3), then the denominator will become rational.