We need to perform a multiplication. The following rule is applied: ABC=ACB In our example, the factors in the new numerator are: 3, x, Notice that all non-fraction factors are placed in the numerator. The only factor in the new denominator is: 5 |
We need to get rid of all the denominators in this equation. This can be achieved by multiplying both the left and the right side by the Least Common Denominator. In our example, the LCD is equal to 5. |
Numerical factors in this term have been multiplied. |
In order to isolate the variable in this linear equation, we need to get rid of the coefficient that multiplies it. This can be accomplished if both sides are divided by 3. |
We need to reduce this fraction to the lowest terms. This can be done by dividing out those factors that appear both in the numerator and in the denominator. In our example, this is the common factor: 3. |
In order to reduce this fraction we first need to write numerical factors as product of primes. In our example, 6000000 is rewritten as 2·2·2·2·2·2·2·3·5·5·5·5·5·5. |
Number 1 as a factor, does not need to be explicitly written. In other words: 1A=A. In our example, the above transformation has been applied once. |
We need to reduce this fraction to the lowest terms. This can be done by dividing out those factors that appear both in the numerator and in the denominator. In our example, this is the common factor: 3. |
Any fraction which has its denominator equal to 1 is equal to its numerator. In other words: NUM1=NUM In our example, the numerator is equal to x. |
Let's multiply out the numbers after reduction. In our example, 2·2·2·2·2·2·2·5·5·5·5·5·5 becomes 2000000 Note that since multiplying by 1 does not change the value of the product, factor 1 can be omitted. |
Any fraction which has its denominator equal to 1 is equal to its numerator. In other words: NUM1=NUM In our example, the numerator is equal to 2000000. |