How to simplify the ratio of three fractions, and how to simplify the process of fractions?

Simplification is elementary school math.

The content of knowledge points. Let's take a look at a few common ways to reduce simplification.

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Simplification method of integer ratio 1: simultaneous reduction method. According to the basic nature of the ratio, divide the preceding and subsequent terms of the ratio by their greatest common divisor. Simplify the ratio.

Simplification method of integer ratio 2: Reduction differentiation simplification. 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.

Method 1 of simplifying the ratio of fractions: multiply the first and second terms of the ratio by the least common multiple of their denominators.

Method 2 of simplifying the fraction ratio: divide the first term of the ratio by the latter term of the ratio, and write the calculation result in the form of the ratio.

Method 1 of simplifying the decimal ratio: first multiply the first and second terms of the decimal ratio by ...... at the same timeConvert the decimal to an integer ratio, and then simplify it according to the simplification method of the integer ratio.

Simplification method of decimal ratio 2: There is125, you can multiply the terms before and after the ratio at the same time, and directly simplify the decimal ratio.

Answer: When comparing three fractions, you can multiply each fraction by the least common multiple of the denominator at the same time. For example:

1. Find the least common multiple of the denominator of the three fractions, and then multiply the three fractions by the least common multiple at the same time.

2. Find the common divisor of the integer after removing the denominator, and then divide it by the common divisor at the same time to make it the simplest.

1. Multiply the three fractions by the least common multiple of the denominator of the three fractions, and then turn them into the simplest integer ratio.

2. For example: 1 2:2 3:1 4......(The least common multiple of the denominator is 12) 6:8:3 I wish you progress in your studies, and you can send a private message if you have any questions.

<> what is a simplification ratio.

The preceding and posterior terms of the ratio are divided by their greatest common factor at the same time is called a simplification ratio.

The first and last terms expand or shrink the same number at the same time (except 0), and the ratio does not change The solution method of the simple ratio is to find the greatest common divisor first, and divide it on both sides. The fraction is better than the score, and the numerator is it. Decimal ratio: Remove the decimal point, find the common divisor, and divide it again.

This ratio is written as the form a:b, where a and b are coprime integers.

When the fraction is exchanged for the simplest ratio, the numerator and denominator are often divided by the same constraint at the same time, so that the simplest number is obtained step by step.

What is the process of fractional simplification? Multiply the reciprocal of the former term by the reciprocal of the latter term to calculate the result, the numerator is the former term, and the denominator is the latter term.

Each fraction is converted into a fraction with the same denominator and then calculated.

Fractional simplification ratio is the use of the method of reduction to make moleculesDenominatorco-prime, thus obtaining a score. Simplifying ratio, as the name suggests, is to reduce a ratio to the simplest form, that is, the numbers on both sides of the ratio sign (colon) cannot be divided, and the numbers on both sides are integers. Multiply two grinding numbers by a number at the same time or divide by a number at the same time, and the ratio remains the same.

If you add or subtract a number at the same time, the ratio changes. That's what we're using to reduce the proportions.

Methods for simplifying fractional ratiosOne is to simplify according to the basic properties of the ratio, by multiplying the first and second terms by the least common multiple of the denominator.

It is then converted into an integer ratio, and then reduced to the simplest Hu Chun ratio. For example, according to the basic properties of the ratio, 3 10:

15÷3）=4:5。The second method uses the method of finding the ratio to simplify the ratio.

For example, using the method of estimating the ratio, 3 10:3 8=3 10 3 8=3 10 8 3=4 5=4:5.

There are two ways to simplify fraction-to-fraction ratio:

Clause. 1. Determine the least common multiple of the two fractional denominators, and multiply by the nearest common multiple at the same time. Round it into an integer, and then simplify it.

Clause. Second, multiply the fractions, find the ratio, and then write the ratio in the form of a link with the ratio. Reducing a fraction to a fraction that is equal to it, but the numerator and denominator are relatively small, is called a fraction.

Minutes are based on the basic nature of fractions. Reduction can be one-time reduction (using the greatest common factor to remove the numerator and denominator respectively), or it can be gradually reduced (using the common factor to remove the numerator and denominator respectively).

Notes:

The denominator must not be 0 because the denominator is equivalent to the divisor. Otherwise, the equation cannot be established, and the numerator can be equal to 0, because the numerator is equivalent to the number of trapped skins. It is equivalent to 0 divided by any number, regardless of the denominator, the answer is 0.

The numerator or denominator in a fraction cannot be an irrational number (such as the square root of 2) after being reduced, otherwise it is not a fraction.

Only two prime factors, 2 and 5, can be reduced to finite decimal numbers in the denominator of a simplest fraction; If the denominator of the simplest fraction contains only prime factors other than 2 and 5, then it can be reduced to a pure cyclic decimal; If the denominator of the simplest fraction contains both prime factors of 2 or 5, as well as prime factors other than 2 and 5, then it can be reduced to a mixed cyclic decimal.

Note: If it is not a minimum score, it must be converted into a minimum score before judgment; The simplest fraction of the denominator 2 or 5 must be reduced to a finite decimal, and the simplest fraction of another prime with a denominator must be reduced to a pure cyclic decimal).

Just multiply all 3 fractions by the lowest common multiple of the denominator of the old high acres.

Can! For example: 1 2:1 3:1 4 is 2,3,4 - the least common multiple is 3 4 = 12

The ratio of fractions can be regarded as a fraction, the numerator and the denominator are both fractions, in fact, the two fractions are divided first, and then the numerator ratio is found, this ratio is the ratio of the fraction ratio, and the silver macro value is reduced to the common factor of the numerator and the denominator, and Zheng Ji is reduced to the simplest fraction.

There are two ways to do this:

1. Determine the least common multiple of the two fractional denominators, and multiply by the least common multiple. Divide into whole numbers, and then fight hail to simplify.

2. Multiply the fractions, find the ratio, and then write the ratio in the form of a link with the ratio.