Fractional multiplication refers to the multiplication of two fractions. Fractional multiplication can multiply two fractional molecules to get a new molecule. Multiply the denominator of two fractions to get a new denominator. If the result can be simplified, it can be simplified to the simplest form. The result of multiplying 1/2 by 2/3:1/2× 2/3 = (12)/(2× 3) = 2/6. Then, we simplify the result and find the greatest common divisor of numerator and denominator, which is 2.
The simplest form is obtained by dividing the numerator and denominator by the greatest common divisor at the same time: 2/6 ÷ 2 = 1/3. Therefore, the result of multiplying 1/2 by 2/3 is 1/3. The principle of fractional multiplication is based on multiplication arithmetic, that is, molecular multiplication and denominator multiplication. By multiplying two fractions, we can calculate the result of multiplying two fractions. Then, by simplifying the result to the simplest form, a simpler and more general expression can be obtained.
The application of fractional multiplication in real life includes material calculation: in the process of cooking, it is often necessary to calculate the materials in the formula according to the proportion. Fractional multiplication can help us adjust the proportion of the formula according to our needs. Distance and speed: In physics and mathematics, fractional multiplication is used to calculate the problems of distance and speed. By multiplying the fraction, we can calculate the distance that objects with different speeds and time move in a period of time.
Concept Extension of Fractional Multiplication
Relationship between fractional multiplication and integer multiplication: Integer can be regarded as a fraction whose denominator is 1, so integer multiplication can be regarded as a special case of fractional multiplication. Extended application of fractional multiplication: In addition to multiplying two fractions, we can also multiply fractions with integers, or multiply fractions with decimals. By multiplying the fraction, we can calculate the distance that objects with different speeds and time move in a period of time.
Fractional multiplication is to multiply the numerator of two fractions to get a new numerator, multiply the denominator to get a new denominator, and then simplify the result to the simplest form. Fractional multiplication is widely used in real life and mathematics, which can help us calculate formulas, distances and speeds. By understanding the principle and application of fractional multiplication, we can better apply mathematical knowledge to solve practical problems.