How do I reduce a fraction to a minimum fraction?

The simplest fraction is a fraction in which the numerator and denominator have only a common factor of 1, or a fraction in which the numerator and denominator are cogenetic, also known as a reduced fraction. Such as: one-half, two-third, eight-ninth, three-eighth, etc.

A fraction whose numerator and denominator are coprime numbers is called the simplest fraction. The numerator and denominator of the fraction of the simplest fraction have no common divisor other than 1. The simplest fraction is also called the reduced fraction, and the fraction can be understood as the fraction that has been reduced, that is, the fraction whose numerator and denominator are coprime numbers.

For example, to find the simplest fraction, make it greater than 1 6 and less than 1 5. Here's how it works:

1.Ratio of pass fractions.

If it is found that there is only a difference of 1 between the numerators of the two fractions, it should be expanded by a certain multiple (if it is the same denominator, it should be directly expanded, that is, the numerator and denominator should be expanded by 2 times, 3 times, and 4 times at the same time......).Until there is a difference between the molecules by a number greater than 1.

2.Denominator comparison.

Multiplying the numerator and denominator of these two numbers by 2 at the same time (because multiplying by 2 is the simplest, if you multiply by other integers), you are actually converting the original fraction into a fraction of the same numerator, so that the fraction with the larger denominator is smaller, and the fraction with the smaller denominator is larger.

3.Find the average.

That is, the sum of these two fractions is asked to be averaged, and it is based on the "if a4."Decimals.

Fractions are converted into decimals, then an appropriate decimal is taken between the two decimal places, and then rewritten as a fraction.

1. First of all, look at how many digits 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.

2. Then the numerator and denominator are reduced to the point where they can no longer be reduced.

3. Take it as a column, it becomes 12 100, and the upper and lower can be divided by 4 to become 3 25

Here's how:

Look: See if the two sides of the equal sign can be calculated directly.

Variable: If the two sides cannot be calculated directly, the equation is deformed using the formula of the sum product quotient.

Tong: Divide the items that can be added or subtracted.

Divide: Divide both sides by a number that is not zero at the same time.

Note: Items that all contain unknowns can be added or subtracted, or items that do not contain unknowns can be added or subtracted.

Dividing by a number is equal to multiplying by the reciprocal of this number.

Remove the parentheses (first the parentheses, then the curly braces) and pay attention to the application of the multiplicative distributive property

Additive commutative law: a+b=b+a Additive associative law: (a+b)+c=a+(b+c).

Multiplicative commutative law: a b=b a multiplicative associative law: (a b) c=a (b c).

Multiplicative distributive property: (a+b) c=a c+b c.

The property of subtraction: a b c = a (b + c).

Nature of division: a b c = a (b c).

Denominator: Find the lowest common multiple of the denominator, and multiply each item on both sides of the equation by the least common multiple of the denominator (the purpose of denominating is to turn the fractional equation into an integer equation).

Shift: "Move with Symbol" moves from the left to the right of the equation, the plus sign becomes the minus sign, and the minus sign becomes the plus sign. (The purpose of shifting terms is to move the unknown terms to either side of the equation from the natural numbers.)

Merge terms of the same kind: add or subtract terms with unknown numbers, and add or subtract natural numbers.

1. Simplification method of integer ratio 1:

Simultaneous shrinking method. According to the basic nature of the ratio, divide the first and second terms of the ratio by their greatest common divisor at the same time, so as to simplify the ratio.

2. Simplification method of integer ratio 2:

Approximate differentiation simplified method. First, the ratio is rewritten into the form of a fraction, then the fraction is divided according to the basic nature of the fraction, and finally written into the form of a ratio.

3. Simplification method of fraction ratio 1:

Multiply both the preceding and posterior terms of the ratio by the least common multiple of their denominators.

4. Simplification method of fraction ratio 2:

Divide the first term of the ratio by the latter term of the ratio, and the calculation result is written in the form of the ratio.

Hope, thank you!

Fraction simplification generally uses the following methods.

1. First find out the principal divider, determine the numerator part and the denominator part, and then calculate these two parts respectively, and the calculation result of each part can be reduced to the offer point, and finally change to the form of "numerator part and denominator part", and then find the result.

2. According to the basic nature of the fraction, the numerator part and the denominator part of the multiplier part are expanded by the same multiple at the same time (this multiple must be the least common multiple of all the denominators of the numerator part and the denominator part), so as to remove the denominator of the numerator part and the denominator part, and then calculate it into the simplest fraction or integer.

3. The simplification of complex fractions is generally carried out from bottom to top, from left to right, one by one. If the numerator and denominator of a complex fraction are mixed with fractions and decimals, they can be processed according to the method of mixed operation of fractions and decimals.

That is, to convert decimals into fractions, or to convert fractions into decimals and then simplify them. When the numerator and denominator are unified into decimals, the method of simplification is to treat the decimal as an integer when the middle part is reduced to the middle.

4. According to the basic nature of fractions, the numerator part and the denominator part of the complex fraction are turned into integer multiplication, and then the result is calculated by cross-reduction, and the final result can be obtained by reducing on this basis. Here are some examples:

Difference Between Percentage and Fraction:

1) The meaning is different, the percentage only represents the multiple relationship of the two numbers, and cannot carry the name of the unit; Fractions can represent both specific numbers and the relationship between two numbers, and the unit name can be used when representing specific numbers.

Example: Able to speak <>

Meters, you can also say 70% of 1 meter, but you can't say 70% meters.

2) Percentages cannot be reduced, and fractions are generally divided into simplest fractions by reduction.

Example: 42% are irreducible (<>

It can be divided into <>

3) Any percentage can be written as a fraction with a denominator of 100, and a fraction with a denominator of 100 does not always have the meaning of a percentage.

Example: 61% = <>, but <>

There is no 61% meaning.

4) Different application scopes, percentages are often used in surveys, statistics, analysis and comparison in production and life, while fractions are often used when the whole number results are not obtained in calculation and measurement.

Reference Encyclopedia - Scores.

1. The fraction is multiplied by an integer, the denominator remains unchanged, the numerator is multiplied by an integer, and finally the offer score that can be reduced.

Example: <>

2. Multiply the fraction by the fraction, multiply the numerator by the numerator, multiply the denominator by the denominator, and finally the offer score that can be reduced.

Example: <>

3. The fraction is divided by an integer, the denominator remains unchanged, if the numerator is a multiple of the integer, the numerator is divided by the integer, and finally the offer score that can be reduced to a fraction.

Example: <>

4. The fraction is divided by an integer, the denominator remains unchanged, if the numerator is not a multiple of the integer, then multiply this fraction by the reciprocal of the integer, and finally the offer score that can be reduced.

Example: <>

5. The fraction is divided by the fraction, which is equal to the reciprocal of the dividend multiplied by the divisor, and the last offer point that can be reduced.

Example: <>

A fraction indicates that a number is a fraction of another number, or the ratio of one event to all events. The unit "1" is divided into several parts, and the number of such parts or parts is called a fraction.

Using the relationship between fraction and division, divide (numerator) by (denominator) and form (decimal), the quotient is an infinite decimal, and two decimal places are generally retained.

How to convert fractions to decimals:

1. The denominator is 、...The fraction is converted into a decimal place, and the denominator can be directly removed, and a few zeros are counted from the last digit in the denominator to the left (when the number of digits is not enough, 0 is used to make up), and the small number of missing points is dotted.

2. The denominator is not 、...The fraction is divided into decimals, divided by the numerator by the denominator, and when it is not divided, a few decimal places are kept according to the "rounding" method as needed.

There are generally two ways to do this.

1. Use the basic properties of the ratio, and multiply the former and last terms by the greatest common factor of the denominator at the same time. Then look at whether there is a common factor, and there is a contract.

2. Use the method of calculating the ratio, that is, first find the ratio, and then write the simplest ratio according to the ratio.

Approximation. Divide the numerator and denominator by their greatest common factor at the same time until the numerator and denominator form a coprime number, which is the simplest fraction.

The numerator and the denominator are divided by the same integer at the same time.

Most people believe that we live our lives by choice. In fact, not all. Even if we are truly intelligent, some of the choices we make may reflect our perception of ourselves in the moment.

But by and large, we are all like robots, controlled by the conditions and habits of the past, operating automatically and mechanically. Therefore, we have to be self-conscious. Being conscious means being able to think and act on your own from time to time, so that you can make the choices you really want, rather than being manipulated by past settings.

Being self-conscious allows us to live the way we are today, rather than living in the past, and allows us to stay on top of the situation and make full use of our knowledge and talents, rather than always being busy coping and always driven by fear and insecurity.

If you want to create wealth, trust that you are at the wheel of your own life, especially when it comes to money. This is very important. If you don't believe this, then you must have thought that you have little or no control over your life, and therefore little or no control over your financial success—this is not an attitude of wealth.

Hello, the numerator and denominator of the fraction are reduced to the greatest common factor at the same time, and the size of the fraction remains the same, which can become the simplest fraction, I hope it can help you.

The numerator and denominator have no common factor other than 1, so the fraction is reduced to the simplest fraction. It can be divided by the least common factor other than 1 until there is no common factor other than 1.

The numerator of the fraction and the greatest common factor of the denominator are used to reduce the original fraction to the simplest fraction.

Converting decimals to fractions requires determining the numerator, determining the denominator, and simplifying the fraction.

First of all, look at how many digits are after the decimal point, if it is 1 digit divided by 10, 2 digits divided by 100, 3 digits divided by 1000, and so on. The numerator and denominator are then reduced to the point where they can no longer be reduced. Take it as a column, it becomes 12 100, and the upper and lower can be divided by 4 to become 3 25.

If it is a small Qi circle number, turn it into a fraction whose denominator is ten, if the denominator and the numerator have a common factor, then divide it, if it is two decimal places, turn it into a fraction with a denominator of 100, if the numerator and the denominator have a common factor, turn them into the simplest fraction, the simplest fraction refers to the numerator and the denominator, only the common factor is a fraction, and so on, the fraction can represent a specific quantity, or it can represent the relationship between two numbers dividing, and generally can be turned into a decimal number. What cannot be counted as exhaustive is reduced to a fraction.

Relation of decimal to fraction:

1. Decimals are another form of fraction. A decimal is not necessarily a fraction, but a fraction must be a decimal.

2. Fractions and decimals are not two types of numbers, but two manifestations of numbers.

3. For example, the decimal that can be divided by the numerator by the denominator is called a finite decimal. 2/10=。The fractional number divided by the denominator is called an infinite decimal. Converting decimals to fractions requires determining the numerator, determining the denominator, and simplifying the fraction.

First of all, look at how many digits are after the decimal point, if it is 1 digit divided by 10, 2 digits divided by 100, 3 digits divided by 1000, and so on. The numerator and denominator are then reduced to the point where they can no longer be reduced. Take it as a column, it becomes 12 100, and up and down can be used to turn it into 3 25.

If it is 1 decimal place, turn it into a fraction whose denominator is ten, if the denominator and the numerator have a common factor, then reduce it, if it is a two-digit decimal place, turn it into a fraction with a denominator of 100, if the numerator and denominator have a common factor, turn them into the simplest fraction, the simplest fraction refers to the numerator and the denominator, only the common factor is a fraction, and so on, the fraction can represent a specific quantity, or it can represent the relationship between two numbers dividing, and generally can be turned into a decimal number. What cannot be counted as exhaustive is reduced to a fraction.

Relation of decimal to fraction:

1. Decimals are another form of fraction. A decimal is not necessarily a fraction, but a fraction must be a decimal.

2. Fractions and decimals are not two types of numbers, but two manifestations of numbers.

3. For example, the decimal that can be divided by the numerator by the denominator is called a finite decimal. 2/10=。The fractional number divided by the denominator is called an infinite decimal. Say the same thing twice.

This is still very simple, you show me the title, what is he asking for blindness? What is 1 6 + 1 2 plus 1 3? What should I do?

What do you think he's doing? What molecules are the same between molecules? But the same right, this is the first step that we need to do is to ventilate, that is, to turn their denominators into the same denominator, and then the madman can do it, and the addition of the numerators can be, and this is based on what principle, that is, the numerator and the denominator expand or shrink at the same time, even if the size of the numerator remains the same, according to this principle, and then what?

Let's take a look at the denominator of these three fractions, which are 623, so their greatest common factor is six pairs, so so just pass 1 6, you don't need to get it, and then 1 2 can he be written as 3 6? And then 3 two-thirds, right, multiply the numerator and denominator at the same time, and two is not written as 4 6? So this 1 6 + 1 2 + 2 3 can be divided into 1 6 + 3 6 + 4 6 after ventilation, now it is scattered, the denominator of madness is the same, and you can go directly to the madman's house, so it is 1 6 + 3 + 4 = 8 6, right, it is equal to 8 6, you see this he is not the most, so you dissolve it, time, 8 6 so you dissolve it, because his final result is not the simplest numerator denominator, and at the same time divide it by two pairs, and then he becomes 4 3, right?

There are also 4 3 on it, of course, 4 3, you can also write it as one and 1 3, it's all okay, not 4 3, the simple calculation is to do the grouping of if the score he grouped, and finally, after participating in the cut, if he is not the last to wait for the result, if it is not the simplest score, it must be turned into the simplest score, this will definitely deduct points, or or or or if the marking teacher directly calculates a mistake for you, it is also okay, so this must be said.