Fractions (for Demonstration Teaching)
Download as PPTX, PDF2 likes13,233 views
This document discusses different types of fractions including proper fractions, improper fractions, and mixed fractions. It explains how to convert between improper fractions and mixed numbers, and how to reduce fractions to their lowest terms. The document also covers factoring numbers to find common factors and greatest common factors, finding multiples and common multiples, and operations involving fractions such as addition, subtraction, multiplication, and complex fractions.
Fractions (for Demonstration Teaching)
- 1. Operations of Fractions and Operations Complementing Fractions
- 2. WHAT IS FRACTION? A fraction or a fractional number is used to represent a part of a whole.
- 4. NUMERATOR The numerator tells us how many of these equal parts are being considered. 2 3 Read as: Three-fourths or 3 out of 4
- 5. DENOMINATOR 3 4 A denominator lets us know the number of equal parts into which something is divided.Read as: Three-fourths or 3 out of 4
- 6. WHAT ARE THE IMPORTANCE OF FRACTION IN OUR LIVES?
- 7. 1. Proper Fraction Example: 1 2 2. Improper Fraction Example: 5 3 3. Mixed Fraction Example: 2 1
- 8. 1. Proper Fraction is determined when the numerator is less than the denominator. So, the given is less than one. Examples: 2 , 1 , 5 , 9 , and 110 3 4 8 20 230
- 9. 2. Improper Fraction is determined when the numerator is greater than the denominator. Thus, the given is more than one. Example: 4 7 15 27 30 and 890 3 2 9 16 15 122
- 10. 3. Mixed Fraction is when a given term contains both a whole number and a fraction. Example: 5 1 4 Convertible Processes of Mixed Numbers: a. From improper fractions to mixed numbers b. From mixed numbers to improper
- 11. . From improper fractions to mixed numbers . From mixed numbers to improper fractions To change an improper fraction to mixed number, divide the denominator into the numerator. Only improper fractions are convertible into mixed numbers. To change a mixed number to an improper fraction, multiply the denominator into the whole number, add in the numerator, and put over the original denominator.
- 12. A given fraction should be reduced to lowest term. Reducing fraction is done by dividing both the numerator and denominator by the largest number that will divide evenly into both. Example: Reduce 15 to lowest term. 25
- 13. When multiplying fractions, „cancelling‟ is an important factor. You could first eliminate for your need to reduce your answer. Cross processing is applied in this operation. Example: 2 x 5 = 5 3 12 18
- 14. Factors of a given number are those whole numbers which when multiplied together yield a number. Example: What are the factors of 10? Since: 10= 2x5 1x10 So, the factors of 10 are 1,2,5 and 10.
- 15. Operations of Factoring: Common Factors are those factors that are the same for two or more numbers. Greatest Common Factor is the largest factor common to two or more numbers.
- 16. Multiples are the numbers that found by multiplying the given numbers into 1,2,3,4,5,6,7 etc. Example: (first seven multiples) a. 2x1=2,4,6,8,10,12 and 14 b. 5= 5,10,15,20,25,30 and 35 c. 9= 9,18,27,36,45,54 and 63
- 17. Common Multiples are those multiples that are the same for two or more numbers. Least Common Multiple is the smallest multiple that is common to two or more numbers. Operations for Multiples:
- 18. Complex Fractions are consist of either numerator and denominator of several numbers. These numbers must be combined into one number. Then reduce it if necessary.
- 19. “SUCCES IS A DAILY PROCESS” Thank you for listening and cooperating
Editor's Notes
- #7: GAME: Throw then count! The teacher will ask two students to oppose one another. The two will throw the dice then what the dice indicates will be consisting the fraction and the teacher will indicate what operation to use. The two students will compete one another to answer the problem first. The first to answer will get the chip
- #12: The next move is the solving of problems.. Use the white board..
- #13: Have the solutions on the board.
- #15: yield- stop resisting numberAsk them to give numbers that could be factorized..Give this example: Factors of 24: since 24: 1x24 2x12 3x8 4x6
- #16: Perform the operations on the board.
- #18: Examples should be done in the whiteboard.
- #19: Operations should be done in the board.