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Reciprocal method of decimals and fractions
The reciprocal method of decimals and fractions is:

Fractional method of decimals: First, write decimals as fractions. There are several decimal places. Just write a few zeros after 1 as the denominator and remove the decimal point from the original decimal as the numerator. Provide points that can be reduced.

Fractional decimal method:

1, general method, using numerator ÷ denominator (several decimal places shall be reserved as required when not used up).

2. Special method, when the denominator is 10 100 1000, write it directly as a decimal. When the denominator is a factor of 10 100 1000, the factorial mother is a fraction of 10 10065438, and then written as a decimal.

Decimal is a special expression of real numbers. All fractions can be expressed as decimals, and the points in decimals are called decimal points, which are the dividing lines between the integer part and the decimal part of a decimal. Decimals with zero integer parts are called pure decimals, and decimals with non-zero integer parts are called decimals.

Fraction (from Latin, "broken") stands for a part of the whole, or more generally, any equal number of parts. A fraction is the ratio of an integer a to a positive integer b that is not equal to an integer. When speaking in everyday language, scores describe parts of a certain size, such as one-half, five-eighths and three-quarters. Molecules and denominators are also used for uncommon fractions, including compound fractions, complex fractions and mixed numbers.

The difference between decimals and fractions

1. Representation: Decimal is a decimal-based representation, which consists of an integer part, a decimal point and a decimal part, such as 0.5, 3. 14, etc. Fraction refers to the ratio expression composed of one or more integers, including numerator and denominator, with numerator above and denominator below, separated by a horizontal line, such as 1/2, 3/4, etc.

2. Operation rules: Decimal operation is similar to integer operation, and basic operations such as addition, subtraction, multiplication and division can be performed. Fractions need to be divided or simplified before addition, subtraction, multiplication and division. For example, when adding fractions, you need to find the same denominator to merge.

3. Accuracy: Decimals are expressed in the form of finite digits or cyclic decimals, and some decimals cannot be accurately expressed. For example, 1/3 is infinite loop decimal 0.3333 in decimal representation. Fractions can represent precise numerical values, such as 1/2, 3/4, etc.