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Authoritative PPT Summary
"Reconciliation" Fraction PPT Courseware 2
teaching objectives
1. Recognize common factors and the greatest common factor, and be able to find the common factors and the greatest common factor of two non-zero natural numbers.
2. Know what a coprime number is and be able to determine whether two numbers are coprime.
3． Through active learning and cooperation and communication, students’ successful experience will be further enhanced.
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(1) Name the characteristics of numbers that are divisible by 2, 3, and 5?
(2) What is the common divisor? Name the common divisor of each set of two numbers below.
18 and 24 12 and 30
(3) What are coprime numbers? Indicate which two of the following numbers are relatively prime.
3 and 8 12 and 8 5 and 2 7 and 4
improve practice
fill in the blank:
1. A simplest fraction, the product of its numerator and denominator is 24, this fraction is ( ) or ( ).
2. The sum of all the simplest proper fractions whose denominator is 8 is ( ).
3. A simplest fraction, if its numerator is expanded by three times and its denominator is reduced by two times, it is ( ), and the original fraction is ( )
Summary
1. Understand that reduction is to convert a fraction into a fraction that is equal to it but has a smaller numerator and denominator. Simplifying a fraction is actually a reduction.
2. When reducing fractions, try to use verbal calculations. Generally, use the common divisor of the numerator and denominator (except 1) to divide the numerator and denominator of the fraction, usually until the simplest fraction is obtained.
3. When reducing a fraction, it would be easier if it could be divided directly by the greatest common divisor of the numerator and denominator of the fraction.
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