Fractions

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Understanding of fractions

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Fractions

  1. 1. NDHLOVU BC PowerPoint presentation: Fractions
  2. 2. WORDS TO KNOW!  Fractions  Whole (One)  Unit Fractions  Equivalent Fractions  Numerator  Denominator  Common Denominator  Improper Fractions  Mixed Numbers
  3. 3. Learning Objective Students will:  Understand how to find equivalent fractions by using multiplication and division rules.  Compare and order fractions by identifying common denominators and use the proper symbol. (<, >, and =)
  4. 4. MEANING OF A FRACTION When an object is divided into equal parts, each part is called a fraction of the object. This circle is divided into 4 equal parts. One of the 4 equal parts which is separated is written as ¼ and named as one-fourth.
  5. 5. Fraction has 2 numbers. Number above the line is called NUMERATOR and the number below the line is called DENOMINTOR. Ex. In fraction 1/8 1 is numerator and 8 is denominator.
  6. 6. What fraction of the musical instruments have strings? 2 5
  7. 7. What fraction of the fish have stripes? 3 5
  8. 8. What fraction of the arrows hit the bulls eye? 1 3
  9. 9. What fraction of the pins are knocked down? 3 10
  10. 10. LIKE FRACTIONS & UNLIKE FRACTIONS  Fractions having same denominators are called like fractions.  Fractions having different denominators are called unlike fractions.
  11. 11. Improper Fractions and Mixed Numbers An improper fraction can be converted to a mixed number and vice versa. 3 5An improper fraction is a fraction with the numerator larger than or equal to the denominator. A mixed number is a whole number and a fraction together. 7 3 2 Any whole number can be transformed into an improper fraction. , 1 4 4 = 7 7 1=
  12. 12. Improper Fractions and Mixed Numbers 3 2 1 3 5 = Converting improper fractions into mixed numbers: - divide the numerator by the denominator - the quotient is the leading number, - the remainder as the new numerator. 7 17 7 372 7 3 2 = +× = Converting mixed numbers into improper fractions. , 4 3 1 4 7 =More examples: 5 1 2 5 11 =
  13. 13. How does the denominator control a fraction? If you share a pizza evenly among two people, you will get 2 1 If you share a pizza evenly among three people, you will get 3 1 If you share a pizza evenly among four people, you will get 4 1
  14. 14. How does the denominator control a fraction? Conclusion: The larger the denominator the smaller the pieces, and if the numerator is kept fixed, the larger the denominator the smaller the fraction, If you share a pizza evenly among eight people, you will get only 8 1 It’s not hard to see that the slice you get becomes smaller and smaller. c.b c a b a >< rwhenevei.e.
  15. 15. Addition of Fractions - addition means combining objects in two or more sets - the objects must be of the same type, i.e. we combine bundles with bundles and sticks with sticks. - in fractions, we can only combine pieces of the same size. In other words, the denominators must be the same.
  16. 16. Addition of Fractions with equal denominators More examples: =+ 5 1 5 2 5 3 =+ 10 7 10 6 = 10 13 10 3 1 =+ 15 8 15 6 15 14
  17. 17. Learn about and practice converting improper fractions and mixed numbers by clicking the objects on this slide.
  18. 18. Finding Equivalent Fractions For example 3/6 is equivalent to 10/20 because the relationship between the numerator and the denominator is the same in each case: 3 is ½ of 6, and 10 is ½ of 20. Two fractions are EQUIVALENT if they are equal. This means that the relationship between the numerator and the denominator of one fraction is the same as the relationship between the numerator and denominator of the other fraction.
  19. 19. Another way you can look at it is if two fractions are equivalent, they will have a scale factor between them. The SCALE FACTOR is the number that you multiply or divide the numerator and denominator in one fraction by to get the numerator and denominator of the second fraction. 3 9 5 15 = x3 x3 By multiplying 3/5 by 3/3 (remember, that is the same as multiplying by 1 whole), I will arrive at the answer 9/15. Remember that when you are doing this you must BE FAIR and perform the same operation to both the numerator and the denominator. Don’t forget that when you multiply fractions, you multiply the numerators together and you multiply the denominators together.
  20. 20. A third way to determine if two fractions are equivalent is to CROSS MULTIPLY. 4 2 6 3 = = x = 12 x = 12 Multiply the numerator of one fraction by the denominator of the other. Repeat this with the other numerator and denominator. If the products are equal, then the fractions are equivalent.
  21. 21. Click me to print a worksheet Find equivalent fractions Click me for a visual demonstration Click me to practice. Click us to play fraction frenzy Click me to play half baked fractions on fun brain
  22. 22. KEY POINTS Remember, a fraction is an equal part of one whole We can split shapes, objects and numbers into fractions We write fractions as
  23. 23. A “View” to a Fraction
  24. 24. References Sakshi, A., (2010). Fractions: Slideshare. Eileen, S. (2010). Equivalent Fractions, Comparing and Ordering of Fractions: Slideshare. Joseljalon, J. (2011). Fractions: Slideshare. Jamilah, B. (2012). Equivalent Fractions: Slideshare. Taylor, H. (2010). Fractions Percent’s Circle graphs: Slideshare. Pictures: Google Image
  25. 25. THANK YOU

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