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Authoritative PPT Summary
"Addition and Subtraction of Fractions" PPT Courseware 2
Knowledge review
Use the rules of addition and subtraction of fractions to calculate the following equations:
Can you describe the rules for adding and subtracting fractions?
Following the rules of adding and subtracting fractions, can you do the following questions?
test you
If you are the one on the left, can you find your good friends from the right?
Think about it: How did you find your good friend from the right? Who can tell me the reason?
try to summarize
Can you define the rules for adding and subtracting fractions with the same denominator?
[Rules for addition and subtraction of fractions with the same denominator]
To add and subtract fractions with the same denominator, the denominator remains unchanged and the numerators are added and subtracted.
Review: Rules for adding and subtracting fractions with the same denominator
Create situations and elicit questions
There are two roads from point A to point B. Each road is 3 kilometers. The first is a flat road, the second is an uphill road of 1 kilometer and a downhill road of 2 kilometers. Xiaoli's on the uphill road The riding speed is v kilometers/hour, the riding speed on the flat road is 2v kilometers/hour, and the riding speed on the downhill road is 3v kilometers/hour. So which way does she take the least time? How long does it take to use less?
Rule: To add and subtract fractions with different denominators, first divide them into common denominators, then add and subtract them.
Through common fractions, the addition and subtraction of fractions with different denominators are transformed into the addition and subtraction of fractions with the same denominator.
Test questions
1 Calculation:
(1) 4/x-2-2/x+2 (2) 1/m+n-m/m2-n2
2: The average speed of the Shenzhou passenger ship sailing in still water is V kilometers/hour, the speed of the Yangtze River water flow is a kilometers/hour, and the water distance from Wuhan to Shanghai is s kilometers. If this passenger ship is an hour long, stays for 6 hours after sailing from Wuhan to Shanghai, and then returns to Wuhan, how much time does it take for a round trip?
To add and subtract fractions with the same denominator, add and subtract the numerators without changing the denominator.
Similar to adding and subtracting fractions with different denominators, we get:
To add and subtract fractions with different denominators, first divide them together and then add and subtract them.
Through common fractions, the addition and subtraction of fractions with different denominators are transformed into the addition and subtraction of fractions with the same denominator.
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"Addition and Subtraction of Fractions" PPT courseware:
"Addition and Subtraction of Fractions" PPT Courseware Communication and Discovery Do you still remember the rules of addition and subtraction of fractions? Following the rules of adding and subtracting fractions, ask students to complete the following questions: Did you answer it correctly? Similar to the rules for addition and subtraction of fractions, we get the fraction ..