Understand the relationship between decimals and fractions. Decimals can be regarded as an expression of fractions, each digit after the decimal point can be regarded as the numerator of fractions, and the integer part can be regarded as the denominator. For example, 0. 1 can be regarded as110, 0.3 can be regarded as 3/ 10 and so on.
Decimals and fractions should be converted. Take each digit after the decimal point as the numerator and the integer part as the denominator to form a fraction. For example, 0.72 can be converted into 72/ 100, 0.45 can be converted into 45/ 100 and so on.
If the score is not the simplest score, it needs to be reduced. The method of simplification is to find the greatest common divisor of numerator and denominator, and then divide it by this greatest common divisor at the same time to get the simplest score. For example, 72/ 100 can be roughly divided into 36/50, 45/ 100 can be roughly divided into 9/20 and so on.
Understand the significance and function of fractional component number. Decimalization of component numbers is helpful to better understand and apply the concept of fractions, such as addition and subtraction of fractions, comparison size and so on. At the same time, it is also helpful to transform practical problems into mathematical models to solve them.
Precautions for decimal component numbering:
1, Determine the decimal places: First, we need to determine the decimal places, which determines that we need to convert decimals into fractions. For example, 0. 123 has three decimal places, and we need to convert the number of components.
2. Determination of fractional form: When decimalizing the number of components, attention should be paid to fractional form. Usually every digit after the decimal point is the numerator of the fraction, and the integer part is the denominator. However, if the decimal part is 0, then we only need to use the integer part as the denominator.
3. Rounding points: After you get the score through conversion, you need to pay attention to rounding the score. Simplification is the process of simplifying fractions into the simplest form, which helps us to compare the sizes of fractions better and perform fractional operations. The method of simplification is to find the greatest common divisor of numerator and denominator, and then divide it by this greatest common divisor at the same time.