The key to general division is to determine the simplest common denominator of several fractions, and the steps are as follows:

1. Divide the denominator of each fraction into factors;

2. Take the least common multiple of denominator coefficient;

3. All the letters or factors based on letters should be taken;

4. The factor with the same letter or the power of the factor with the letter takes the largest exponent;

5. Multiply all the above formulas to get the simplest common denominator;

Conventional division step

1.

First, find the simplest common denominator of the denominator of the original fraction (formula);

2.

According to the basic properties of fraction (formula), the original fraction (formula) is changed to a fraction (formula) with the simplest common denominator as the denominator.

Illustration

Comprehensive score:

1/3

and

1/4

Solution: The least common multiple of 3 and 4 is 12.

1/3

=

4/ 12

1/4

=

3/ 12

Then the score result is

4/ 12

and

3/ 12

Second, how to turn the score into the simplest score?

About integrals.

Divide the numerator and denominator by their common factor at the same time until both numerator and denominator become prime numbers, which is the simplest fraction.

(If you can divide by the greatest common divisor, you'd better solve it in one step. )

For example, 65,438+06 of 24 becomes the simplest score.

16 and 24 are divided by 2 at the same time to get 8 and12 respectively; Divide by 2 to get 4, 6,; Divide by 2 to get 2, 3. 2 and 3 are prime numbers, so 16 of 24 becomes the simplest fraction, which is 2/3.

Or divide 16 and 24 by 8 at the same time (8 is the greatest common factor of 16 and 24) to get 2 and 3 respectively.