What is fraction and decimal interaction? What does the interaction of fractions and decimals mean?

In elementary school, we learn about fractions and decimals, and their calculations, both decimals and fractions are a form of number, decimals are characterized by having decimal points, while fractions are characterized by having semicolons. We also learned about integer decimals, decimal fractions. So what is fraction versus decimal interaction?

In fact, it is the process of turning decimals into fractions and fractions into decimals.

First of all, I will talk about the situation of fractions into decimals, divide the number on the numerator by the number on the denominator, if you encounter the kind of inexhaustible number, you can generally calculate the result to the third or fourth place, and finally use the rounding method to take the result into an approximate value. At the same time, it must be noted that the result can be divided by an accurate value, then we should use the equal sign, if the division is not exhausted, the value we obtain is only an approximation, then we should use the approximate equal sign. The next case is the case of decimal into fraction, and we should first round the denominator of the decimal.

Numbers such as ten, hundreds, and integer multiples of ten, and then reduce the numerator and the number on the fraction at the same time, and finally get the simplest fraction that can no longer be simplified.

Decimals are divided into ordinary decimal and circular decimals, for ordinary decimals, just that method can be simplified, but there is also a type of circular decimals, as far as this type of number is concerned, we usually divide the part of the cycle into a section in the process of fractions, and the part that is not a cycle section can be used by the above method, but for a part of the cycle section, we should set the denominator part to an integer multiple of nine. Then the branch denominator can be differentiated, and the answer can be obtained.

When we usually calculate some questions, the answers are presented to you in the form of fractions, this is because the fractions look more beautiful, and it also makes others look simpler, and some fractions will have a lot of numbers after being decimalized, which is not convenient at all. But sometimes the result of our calculation is fractions, and the problem requires them to be decimals, which is a test of the interaction between fractions and decimals.

Fraction and decimal mutualization refers to two forms of fraction and decimal of the same number. are different expressions in mathematics.

Fractions can be expressed in the form of decimals, and decimals can also be expressed in the form of fractions, so this is the interaction between fractions and decimals, which is explained in detail in mathematics textbooks.

That is, fractions can be expressed in the form of decimals, and decimals can also be expressed in the form of fractions, such as can also be expressed as.

It is the process of turning decimals into fractions and fractions into decimals.

In the case of fractions being divided into decimal places, divide the number on the numerator by the number on the denominator, and if you encounter the kind of inexhaustible number, you can generally calculate the result to the third or fourth place, and finally use the rounding method to take the result into an approximate value. At the same time, it must be noted that the result can be divided by an accurate value, and if the value obtained is only an approximation, then the approximate equal sign should be used at this time.

Fractional decimal: Divide the numerator by the denominator carefully.

If there is no division, it is usually negotiated to the third decimal place, and then rounded.

Take two decimal places and pay attention to the use of equal signs and approximate equal signs.

Decimal fractions: First decimal into the mother is the defeated brother...and then to the simplest fraction.

Here's how fractions and decimals are mutualized:

Decimals into fractions: There are several decimals, just write a few zeros as the denominator after 1, remove the decimal point from the original decimal as the numerator, and reduce the offer points.

Fractional to decimal: The numerator is removed with the denominator. What can be divided into a finite decimal, and some cannot be divided, and if it cannot be divided into a finite decimal, three decimal places are generally retained.

A simplest fraction, if the denominator contains no prime factors other than 2 and 5, the fraction can be reduced to a finite decimal; If the denominator contains prime factors other than 2 and 5, the fraction cannot be reduced to a finite decimal.

Decimals to percentages: Just move the decimal point two places to the right and add a percent sign after it.

Percentages to decimals: To convert percentages to decimals, simply remove the percent sign and move the decimal point two places to the left.

Fractions into percentages: Fractions are usually converted into decimals (usually three decimal places are kept when they are not divided) and then decimals into percentages.

Percentages to decimals: First, rewrite percentages into fractions, and make the offer that can be reduced to the simplest fraction.

The meaning of the score.

Dividing unit 1 into several parts equally, and the number of such parts or parts is called a fraction.

In fractions, the horizontal line in the middle is called the fractional line; The number below the score line, called the denominator, indicates how many parts the unit 1 is divided into equally; The number below the score line is called the numerator, and it indicates how many copies there are.

The fractional unit is called a fractional unit by dividing unit 1 into several equal parts and expressing the number of parts of it.

Classification of scores.

True Fraction: The fraction whose numerator is lower than the denominator is called the true fraction. The true score is less than 1.

False fraction: A fraction whose numerator is larger than the denominator or whose numerator and denominator are equal are called false fractions. False score greater than or equal to 1.

With fractions: False fractions can be written as numbers that are a combination of integers and true fractions, often called fractions with fractions.

Approximate and general divide.

Turning a fraction into a fraction that is equal to it but has a smaller numerator and denominator is called a fraction.

The numerator denominator is a fraction of a coprime number, which is called the simplest fraction.

The fraction with different denominator is divided into fractions with the same denominator that are equal to the original fraction, which is called a common fraction.

Percentage: A number that indicates that one number is a percentage of another number is called a percentage, also known as a percentage or percentage. Percentages are usually expressed as %. The percent sign is a symbol that represents a percentage.

The fraction of decimal multiplication is calculated as follows:1. Convert decimals into fractions for calculation.

2. If the multiplied fraction can be converted into a finite decimal, the fraction can also be converted into a decimal for calculation.

3. If the decimal and the denominator can be reduced, it is relatively simple to divide the fraction first and then calculate.

Reciprocal between decimals, fractions, and percentages. 1. Fractions:

The decimal is a fraction whose denominator is 10, 100, 1000, and the decimal point is directly removed as a numerator, the denominator corresponding to one decimal is 10, the denominator corresponding to two decimal places is 100, and the denominator corresponding to three decimal places is 1000.

2. Decimal into percentages:

Simply move the decimal point two places to the right, then add a percent sign after it.

3. Fractions into percentages:

Convert the denominator to a fraction of 100, and then write the fraction with the denominator of 100 as a percentage. Usually we turn fractions into decimals, and then we turn decimals into percentages.

4. Percentages into fractions:

Write the percentages as fractions, and if they can be reduced, they should be reduced, and the percentages should be decimalized: directly move the decimal point to the left by two places, and then remove the percent sign.

1. Fractional decimal: the numerator is divided by the denominator. For example: 1 2=, 3 5=;

2. Decimal fraction: one digit is small.

Numbers are written as tenths, two decimal places as hundredths, and three decimal places as thousandths......Write the fraction and then reduce the score. For example.

Fractional decimal: the numerator is divided by the denominator, if it is not divided, it is usually quotient to the third decimal place, and then rounded to the two decimal places.

Decimal fraction: First decimalize the decimalization of the parent is ...and then to the simplest fraction.

The fraction is divided into decimals, divided by the numerator by the denominator, and the commercial decimal can be expressed, and if the division is not exhausted, three decimal places are usually retained.

To convert decimals into fractions, first rewrite decimals into fractional forms, and reduce the offer to the simplest fraction.

The mutual transformation of fractions and decimals is to guide the conversion of decimals into fractions and fractions into decimals.

For example: 2 5=

It's about turning a fraction into a decimal place.

For example: 1 2=

1 2 also has a cyclic decimal when decimal is converted from a fraction.

For example: 9 10=