According to the basic properties of fractions, several fractions with different denominators are converted into fractions with the same denominator, which is called the general fraction of fractions. Divide scores with different denominators into scores with the same denominator equal to the original score, which is called total score. The ratio of number A to number B and two different ratios of number B to number C are converted into the ratio of number A to number B to number C, which is also called total score. ?

For example:

Comparison: the size of 7/9 and 8/ 1 1

Solution: 7/9 = 7×11/9×1= 77/99.

8/ 1 1 = 8×9/ 1 1×9 = 72/99

∫77/99 >72/99

∴7/9 & gt； 8/ 1 1

Extended data:

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

1, which respectively lists the divisors of each denominator;

2. Multiply the divisor of the denominator. If there is a common divisor, the result is the least common multiple of the denominator;

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.

Score calculation method:

Addition and subtraction

1, add and subtract fractions with the same denominator, the denominator remains the same, that is, the decimal unit remains the same, and add and subtract numerators to reduce the bid score.

Example 1:

2. Add and subtract the scores of different denominators, divide them first, that is, use the basic properties of scores to convert the scores of different denominators into the scores of the same denominator, change the unit of scores and keep the size unchanged, then calculate by adding and subtracting the scores of the same denominator, and finally make a quotation score that can be reduced.

Example 1:

Multiplication and division

1, the fraction is multiplied by the integer, the denominator remains the same, the numerator is multiplied by the integer, and finally the score that can be reduced is reported.

Example:

2. The score is multiplied by the score, the numerator is multiplied by the numerator, and the denominator is multiplied by the denominator, and finally the offer score that can be reduced is obtained.

Example:

3. Fraction divided by integer, denominator unchanged. If the numerator is a multiple of an integer, divide the numerator by the integer, and finally you can reduce the number of offer points.

Example:

4. Fraction divided by integer, denominator unchanged. If the numerator is not a multiple of an integer, multiply this score by the reciprocal of the integer, and finally the offer score can be reduced.

Example:

5, the score divided by the score is equal to the dividend multiplied by the reciprocal of the divisor, and finally the offer score that can be reduced.

Example:

References:

Baidu encyclopedia-comprehensive score