How to fractionalize decimals in 6th grade?

Fraction to decimal: Divide the numerator by the denominator.

Decimal Fraction: Generally, the first denominator is ...can be simplified and simplified.

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 reduced to pure cyclic decimals. A sufficient and necessary condition for a minimum fraction to be reduced to a pure cyclic decimal is that there are no 2 and 5 in the prime factor of the denominator, and the number of digits of the cyclic node is equal to the smallest 99 divisible by the denominator of the simplest fraction....The number of 9 in the form of 9.

3.Fractions are reduced to mixed loop decimals. A simple fraction is sufficiently necessary for it to be converted into a mixed cyclic decimal if 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; The number of digits of the cyclic section is equal to the smallest 99 that can be divisible by a factor different from 2,5 in the denominator....In the form of 9, count 9.

Fractionalizing a decimal is to divide the numerator directly by the denominator.

You can get decimals.

For example, 3 5 to a decimal is 3 5=

For example, 3 4 is converted to a decimal place, which is 3 4=

Therefore, the way to decimal is to divide the numerator by the denominator directly.

Fractions: One decimal place is written as a few tenths, two decimal places are written as hundredths, three decimal places are written as thousandths, and then divided into fractions.

Ordinary decimal is converted to a fraction, and the denominator is a power of 10.

Score Calculation Method:

The unit of fraction is 1.

The unit of fraction of 5 8 is 1 8.

It has 5 such fractional units, plus 3 such fractional units, which equals one.

The fractional unit refers to the fraction of the unit 1 divided into several parts and one of the parts, that is, the numerator is 1 and the denominator is a positive integer. The fractional unit of 5 8 is 1 8, which contains a total of 5 units of the same fraction. Adding 3 units of the same fraction equals 1.

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.

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.

How to decimal fractions: Remove the decimal point and divide by 10 or 100 to the simplest fraction.

Several ways to decimal fractions:

1. Finite decimal fraction: first look at how many digits there are after the decimal point, if it is 2 digits, divide it by 100, divide it by 10, divide it by 1000, divide it by 1000, and so on, and then remove the decimal point from the original decimal point as the numerator, 10 or 100 as the denominator, and the numerator and denominator are reduced to the point that they can no longer be divided.

2. Pure cyclic decimal fraction: first look at how many cyclic sections there are, put a few 9s on the denominator, and then put the cyclic section on the numerator completely, and finally reduce it.

3. Mixed cyclic decimal fraction: the denominator is composed of 9 and 0, the number of 9 is equal to the length of the cycle section, the number of 0 is equal to the number of non-cyclic bits to make the trouser bush, the numerator is the number of all the decimal places, minus the non-circular part, and finally the simplest fraction can be divided.

Fraction and decimal interaction knowledge points:

1. Fraction to decimal: remove the numerator 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.

2. A fraction of the purest cherry nut, if the denominator does not contain other prime factors except 2 and 5, this 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.

3. Convert decimal points into percentages: just move the decimal point to the right by two places, and add a percent sign at the end.

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

5. Fractions into percentages: Usually the pure cavity number is converted into a decimal (when it is not divided, three decimal places are usually retained), and then the decimal is converted into a percentage. <>

Fractional decimal: The numerator is divided by the denominator. The numerator is the dividend, the denominator is the divisor, and then the division can be exhausted, and the fractional places can be retained. Example:

Fractions: One decimal place is written as a few tenths, two decimal places are written as hundredths of a volcan, and three decimal places are written as thousandths of a ......Write the fraction and then reduce the score. Example:

Fraction into decimal is to divide the numerator by the denominator, and the quotient obtained is the decimal form of the fraction. Example: The fraction 3 50 is expressed as a decimal.

Answer: The numerator of the fraction 3 50 is 3 and the denominator is 50. Divide the numerator by the denominator and get: 3 50=. Therefore, the decimal form of 3 50 is.

Analytical process:

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 minimum fraction to be reduced to a pure cyclic decimal is that there are no 2 and 5 in the prime factor of the denominator, and the number of digits of the cyclic node is equal to the smallest 99 divisible by the denominator of the simplest fraction....The number of 9 in the form of 9.

3. Fractions are converted into mixed circulation decimals. A simple fraction is sufficient and necessary for it to be reduced to a mixed cycle of decimals 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; The number of digits of the cyclic section is equal to 99, which is divisible by a factor different from 2,5 in the denominatorIn the form of 9, count 9.