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Authoritative PPT Summary
"Addition and Subtraction of Fractions" Fraction PPT Courseware
teaching objectives
【Knowledge and Ability】
Understand and master the rules for adding and subtracting fractions, and be able to use them to add and subtract fractions.
【Process and Method】
Through the method of analogy, experience the process of exploring the rules of addition and subtraction of fractions and understand its arithmetic.
[Emotional attitudes and values]
Cultivate the habit of inquiry and cooperative learning during activities, and cultivate the awareness and ability to "use mathematics".
[Rules for adding and subtracting fractions with the same denominator]
Add and subtract fractions with the same denominator,
The denominator remains unchanged and the numerators are added and subtracted.
[Rules for addition and subtraction of fractions with different denominators]
Add and subtract fractions with different denominators,
Divide the sum into fractions with the same denominator first and then add and subtract them.
Rules for addition and subtraction of fractions:
Add and subtract fractions with the same denominator. If the denominator remains unchanged, add and subtract the numerators;
To add and subtract fractions with different denominators, first convert the fractions into fractions with the same denominator, then add and subtract.
(1) The fraction line has the function of parentheses. When the numerator is a polynomial, be careful to add parentheses during addition and subtraction.
(2) After adding and subtracting the molecules, if the result is not the simplest fraction, reduce the fraction.
According to the basic properties of fractions, fractions with different denominators can be converted into fractions with the same denominator. This process is called the common fraction of a fraction.
For the convenience of calculation, when fractions with different denominators are common denominators, the simplest common denominator (referred to as the simplest common denominator) is usually taken as their common denominator.
Steps to add and subtract fractions with different denominators
1. Find the simplest common denominator of each denominator;
2. Common fractions: Use the basic properties of fractions to convert those with different denominators into the same denominator;
3. Calculate according to the rules for addition and subtraction of fractions with the same denominator.
When performing mixed fraction operations:
In the absence of parentheses, in the direction from left to right, first exponentiate, then multiply and divide, then add and subtract;
If there are parentheses, follow the order of small brackets first, then square brackets, and finally curly brackets;
The numerator and denominator of the result after the mixed operation must be reduced. Note that the final result must be the simplest fraction or integer. When the coefficient of the numerator or denominator is a negative number, the "-" sign should be placed in front of the fraction itself.
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"Addition and Subtraction of Fractions" PPT courseware:
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