Conceptual analysis

Multiplying a number by a fraction is to find the fraction of a number, and it can also be calculated by multiplication. In fact, this is an extension of the meaning of integer multiplication. Find the sum of several identical numbers, where "several" can be an integer or a fraction, and "identical number" can be an integer or a fraction. With this conclusion, there is a basis for asking "what is the score of a number"

for instance

Uncle Li's family has a piece of land of 1/2 hectares. Potato planting area accounts for 1/5 of this land. How many hectares is the potato planting area? In fact, the question is 1/2 hectares 1/5, and the formula is: 1/2× 1/5. Where 1/2 is the same number, 1/5 is the same number, and 1/5 is less than 1, that is, the unit "1" is divided into 5 parts on average, and 1 part is taken.

Therefore, 1/5 of 1/2 hectares is "1" in units of 1/2 hectares. Divide it into five parts on average, and take 1. Since 1/5 of1is 1/5, that is,1× 1/5 =1/5, 1/2 is1. That is, divide 1 hectare into (2×5) parts, take 1 part, and convert 1/5 of 1 hectare into110, which is easy to understand and understand.

From1/2×1/5 = (/kloc-0 /×1)/(2× 5), the algorithm of multiplying a fraction by a fraction is obtained: the product multiplied by a molecule is used as the numerator, and the product multiplied by a denominator is used as the denominator.

Calculation skills of fractional multiplication

The numerator and denominator are multiplied separately.

Let the score a= 1/2 and the score b=3/4, then a times b equals (1×3)/(2×4)=3/8. It can be found that the numerator and denominator can be multiplied separately and then simplified to get the answer.

Convert to division first, then to multiplication.

Let the score a=2/3 and the score b=5/6, then a times b equals (2×5)/(3×6)= 10/ 18, and then convert118 into the simplest score of 2/.

Convert to decimal and multiply.

Let the score a= 1/4 and the score b=2/5, then multiply a by b to convert it into a decimal, that is, 0.25×0.4=0. 1, and then convert 0. 1 into the number of components110.

abstract

Generally speaking, it is not difficult to multiply the score of Band Six. Master the relevant basic rules and skills, and practice more, you can reach the level of proficiency. Be sure to do more exercises, strengthen the understanding and mastery of scores, and lay a solid foundation for future math learning.