1. Introduction to Fractions
Equivalent & Simplifying Fractions

2. What is a fraction?
Part of a whole.

3. Equivalent Fractions If fractions are equivalent then a = c b d
And if a = c then axd = bxc (cross products are
b d equal)
a = c a•d = b•c

4. Examples:
2 = 4 8
2x8=4x4
16=16

5. Simplifying Fractions
Reducing or Simplifying a fraction requires dividing the numerator and denominator by the same non-zero integer.
Greatest Common Divisor

6. Six Questions to Ask When Simplifying Fractions

7. Question 2 Is the numerator one less than the denominator?
If yes, the fraction is in its simplest form.

8. Question 3

9. Question 4

10. Question 5
Are the numbers in the numerator and denominator both even numbers?
If yes, 2 is always a common factor. You can reduce the fraction by dividing the numerator and denominator by 2.

11. Question 6

12. Examples:
2 2 and 4 can both be divided by 2 thus
4 2 ÷ 2 = 1 1
4 ÷ 2 = 2 2 25
125

13. Comparing Fractions Arrange from smallest to largest.
If the denominators are the same then the greater the numerator, the greater the fraction

14. Examples:
, , , 6

15. Word Problem