Subject Requirement in Math 26 under Mr Padora

1. Fractions
Presented by:CyrilJasperSuarez

2. Fractions
•A fraction is part of a whole number.
•Can you think of examples of fractions?
•The following numbers are all fractions:
1/2, 3/7, 6/10, 4/99

3. Definitionsoffractions
•A fraction is a way of
representing division of a
'whole' into'parts'. It has
the form
Numerator
Denominator

4. Terminologies:

5. •In this example 3 of the 7 parts of
the pie chart are shaded. Therefore
the numerator is 3 and the
denominator is 7.
Representation of Fractions

6. •How many of the pieces are in the circle?
•How many pieces are shaded in?
•What fraction could be used to represent
the amount of the circle which is shaded in?
Now You Decide:

7. •Is this fraction equivalent to 2/3?
How can you tell?
More Equivalent
Fractions

8. Comparing Fractions
•When comparing fractions, you will
be given two fractions to compare as in the example below:
•You are to choose which of the two
fractions is the larger.
•Keep this in mind as you make your choice
- the larger the numerator the larger the fraction and the
larger the denominator the smaller the fraction.
If the denominators are the same, the fraction with the
larger numerator is larger and if the numerators are the
same, the fraction with the larger denominator is smaller.

9. Visualizing the fraction
•One method is to visualize the fractions,
as pictured below in red:

10. Discussion of two fractions
✧ •As you can see 1/4 is less than half the
circle while 5/6 is more than half the circle - so 5/6 is
larger.
✧ •Here, the idea of the least common
denominator or LCD is used. LCD is an idea we have
discussed that can be used in comparing fractions. The
LCD is the smallest number that both 4 and 6 will divide
into evenly. 12 is the LCD for the fractions 1/4 and 5/6
because
both 4 and 6 divide evenly into 12.

11. Now you compare:
•Which is greater 2/7 or 1/11
?
•Which is less 6/11 or 22/51?
•Which is greater 1/2 or 4/8 ?
•What do you notice about the last pair of
fractions we compared?

12. •Fractions are equivalent if they
represent the same amount of the
whole or the same value
•Why are these two fractions
equivalent?
Can you think of more equivalent
fractions?
Equivalent Fractions

13. More Equivalent Fractions
•Is this fraction equivalent to 2/3?
How can you tell?

14. Why do you think fractions
are useful?

15. Sample fraction problem:
•If Jimmy at 3 of the 9 pieces of pizza
how much of the pizza did he eat?
•If Novie drove 2 of the 5 miles to school how
much of the trip to school has she traveled?
•If Andy read 22 of the 55 pages in his
book how much of the book has he read?

16. •A great site to compare and find
equivalent fractions: Virtual
Manipulative:Fractions
Exploring Fractions on the Internet

17. Exercises

18. Write a fraction for the part of each flag that
is red.

19. Draw a model to show each
fraction:
3 4 1
10 8 6

20. Whatfractionofeachsetisblue?
SetA SetB SetC

21. Thank You