1. Fraction Basics

2. What is a fraction? Definition: A part of whole. 𝟏 𝟒 𝟏 𝟒 Numerator
𝟏 𝟒 𝟏 𝟒
Numerator
Denominator

3. Practice
Draw a diagram to represent :

4. Practice
Draw a diagram to represent :

5. Finding the Abcissa A fractions point on a number line. 0 1
Find the abcissa of on the number line.
What about 2 3 ?

6. Equivalent fractions If fractions are equivalent than, 𝑎 𝑏 = 𝑐 𝑑
The cross product proves this:
axd = cxb
Try with numbers:
2 3 = 4 6
2x6=12 and x4=12

7. Equivalent fractions

8. Example
Find a fraction having a denominator of 24 which is equivalent to
Find the factor that turns 4 into 24.
6 does!
3 4 𝑥6 𝑥6 = 18 24

9. Comparing Fractions
Arranging from smallest to biggest ( Increasing order).
If the denominators are the same, Than the greater the numerator the greater the fraction.
Example:
1 7 , 2 7 , 3 7 , 4 7

10. Comparing fractions
Arranging from smallest to biggest ( increasing order) if they have different denominators.
We need to get both fractions over a common denominator ,and compare the numerators.
Example:
Lets place them in order
2 3 , ,

11. Comparing fractions
5 12 , 8 12 , 9 12

12. Simplifying Fractions
Reducing or simplifying a fraction requires dividing the numerator and the denominator by same factor(GCD).
Example:
2 4 ÷ ÷ 2 2 = 1 2

13. Word Problem
In a music camp, the 360 campers were divided according to their choice of instrument: 160 chose piano, 100 the violin, 45 the cello , 25 the saxophone, 18 the flute and 12 the harp.
Express as an irreducible fraction the campers that chose piano.

14. Answer
4 9