Convert decimals into fractions, and talk about how to turn decimals into fractions. 0 45

Fractional decimal is generally divided by the numerator by the denominator, but some are more special, such as the denominator is 20, 25, 125, etc., which can expand the numerator and the grave by the same multiple at the same time, which is simpler. Decimal fractions, to remember; One decimal place is a few tenths of a tenth, and two decimal places are hundredths ,..And so on, and then approximate to the simplest fraction.

1. Finite decimal fraction, remove the decimal point of this number and make the numerator; If it is a decimal, use 10 as the denominator; If it is two decimal places, use 100 as the denominator; If it is a three-digit decimal place, use 1000 as the denominator ......Those who can make a covenant will be divided again. As.

Second, the integer part is a pure cyclic decimal fraction of 0, with a cyclic section as the numerator, a cyclic section has several numbers, and a few 9s are used as the denominator, which can be reduced to the offer fraction. As.

loop) = 3 9 = 1 3

loop) = 13 99

circulation) = 31 999

3. The integer part is a mixed cyclic decimal fraction of 0, which is transformed into a finite decimal plus a pure cyclic decimal multiplied by 100 ......, then divide the fractions, and finally calculate the sum of the two fractions. As.

Cycle) = Cycle) 1 10

4. Infinite non-cyclic decimals cannot be converted into fractions.

There are several ways to convert decimals into fractions:

1. Finite decimals.

1. To see how many decimal places it is, add a few 0s as the denominator after 1.

2. Remove the decimal point from the original decimal point as a numerator.

3. Approximation. 2. Infinite pure cyclic decimals.

1. Look at how many there are in the loop section, and write a few 9s as the denominator.

2. Cycle knots to make molecules.

3. Approximation. 3. Infinite mixed cycle decimals.

1. If there are several people in the loop section, write a few 9s

2. If you see how many there are in the non-cyclic part, write a few 0s and make the denominator after 9.

3. The non-cyclic part is connected to the first cyclic node as a molecule.

4. Irrational numbers.

Irrational numbers cannot be turned into fractions in the first place, so they cannot be turned into fractions.

Here's how to make fractions into fractions:

1. To see how many decimal places it is, add a few 0s as the denominator after 1.

2. Remove the decimal point from the original decimal point and make it a numerator.

3. The offer points that can be contracted.

Definition of Differentiation Decimal:

Fractional decimal (changeoffractionintodecimal) is an identity deformation that refers to the operation of turning fractions into decimal numbers by certain rules.

Because each false sail fraction can be reduced to an integer or the sum of an integer and a true fraction, and each true fraction can be divided into the simplest fraction by reduction, therefore, to study fractional decimals, we only need to study the simplest fractional decimal.

Fractional decimal refers to the operation of turning fractions into decimals through certain rules.

Fractional decimal can be divided into three cases:

1. Fractions are reduced to finite decimals. A sufficient requirement for a simplest fraction to be reduced to a finite decimal is that the prime factors of the denominator are only 2 and 5.

2. Fractions are converted into pure cyclic decimals. A sufficient and necessary condition for a simplest fraction to be reduced to a pure cyclic decimal is that there are no 2s and 5s in the prime factor of the denominator.

3. Fractions are converted into mixed circulation decimals. A sufficient and necessary condition for a fraction of the most congested to be reduced to a mixed cyclic decimal is that the denominator contains both prime factors of 2 or 5 and prime factors other than 2 and 5. In the formed mixed cyclic decimals, the number of non-cyclic digits is equal to the greater of the exponents of factor 2 or 5 in the denominator.

How decimals are made into fractions is as follows:1. Pure cyclic decimal fraction:

The cyclic decimal starting from the first decimal (decile) of the decimal part is called a pure cyclic decimal, and the decimal part of the pure cyclic decimal can be turned into a fraction, and the numerator of this fraction is a number represented by a cyclic section, and the number on the denominator is the same as the number of digits of the cyclic section. The offer to be able to make a contract. <>

2. Mixed cycle decimal fraction:

The fractional part of a cyclic decimal can be converted into a fraction, and the numerator of this fraction is the difference between the number of the decimal part before the second cyclic rift and the number of the non-cyclic part of the decimal part. The first digits of the denominator are 9, the last digits are the same number as the number of digits in the loop section, and the number of 0s is the same as the number of digits in the non-cyclic section.

Converting decimal numbers into fractions is one of the basic skills in mathematics that can help us better understand and calculate numerical values.

Here are the steps to turn a decimal into a fraction:

1. Turn the decimal into a fraction (if necessary). For example, the fraction of $ to $1 frac$ is converted to a tomato.

2. Convert band fractions into false fractions. For the fraction with $a frac$, the false fraction can be expressed as $frac$.

3. Approximate scores. Divide both the numerator and the denominator by their greatest common divisor so that they no longer have a common factor.

With the above steps, you can convert decimal numbers into fractions.

Decimals are converted into fractions because fractions are one of the basic forms in mathematics and are easier to understand and calculate. Especially in geometry and algebra, fractions are a frequently used form, and some problems can only be taken in the form of fractions.

Comparison of decimal and fraction:

Comparing decimal and fraction is another important topic related to decimal and fraction. We can use decimals or fractions to represent the same numeric value, but they may be compared differently in different situations. Generally speaking, when comparing two decimal places, we can convert them to the same number of decimal places for comparison; And when comparing two scores, we need to compare them into the same score.

When comparing decimal places and fractions, you also need to pay attention to whether there is a rounding error and the effect of the whole number part. <>

The way to turn a decimal into a fraction is to divide the decimal by a power of 10 (e.g., etc.) and then simplify the result. The specific steps are as follows:1

Convert decimals to fractions, with the numerator being a number in the decimal place, the denominator being , etc. 2.Simplifying fractions (fractions), i.e., dividing both the numerator and denominator by their greatest common divisor.

Here's an example: If you want to turn a decimal into a fraction, you can express it as the old parody 75 100 or 750 1000. The fraction 75 100 or 750 1000 is reduced to the simplest fraction, the greatest common divisor is 25, and the fraction is divided by 25 to get the simplest fraction 3 4.

Therefore, it can be reduced to 3 to 4.