1. Algebraic Fractions with monomial Denominators

2. A monomial is a number, a variable, or a product of a number and variables. The degree of a monomial is the sum of the exponents of the variables

3. Objective: Simplify fractions using the highest common factor.

4. 5-Minute Check Find the HCF of each set of numbers or monomials. 1.22, 55

5. 5-Minute Check Find the HCF of each set of numbers or monomials. 1.22, 5511

6. Find the HCF of each set of numbers or monomials. 1.22, 55 2.106, 318 5-Minute Check

7. Find the HCF of each set of numbers or monomials. 1.22, 55 2.106, 318106 5-Minute Check

8. Find the HCF of each set of numbers or monomials. 1.22, 55 2.106, 318 3.15, 18, 30 5-Minute Check

9. Find the HCF of each set of numbers or monomials. 1.22, 55 2.106, 318 3.15, 18, 303 5-Minute Check

10. Find the HCF of each set of numbers or monomials. 1.22, 55 2.106, 318 3.15, 18, 30 4.12ab 3, 16a 4 b 2 5-Minute Check

11. Find the HCF of each set of numbers or monomials. 1.22, 55 2.106, 318 3.15, 18, 30 4.12ab 3, 16a 4 b 2 4ab 2 5-Minute Check

12. Find the HCF of each set of numbers or monomials. 1.22, 55 2.106, 318 3.15, 18, 30 4.12ab 3, 16a 4 b 2 5.15mnp, 45mp 3, 90m 3 n 4 5-Minute Check

13. Find the HCF of each set of numbers or monomials. 1.22, 55 2.106, 318 3.15, 18, 30 4.12ab 3, 16a 4 b 2 5.15mnp, 45mp 3, 90m 3 n 4 15m 5-Minute Check

14. Simplifying Fractions Example a.Write 63/105 in simplest form. 63 = 7*3*3 The HCF of 63 and 105 is 3*7 or 21. 105 7*5*3

15. 4-6 Simplifying Fractions Example a.Write 63/105 in simplest form. 63 = 7*3*3 The HCF of 63 and 105 is 3*7 or 21. 105 7*5*3 Divide the numerator and the denominator by 21.

16. Simplifying Fractions Example a.Write 63/105 in simplest form. 63 = 7*3*3 The HCF of 63 and 105 is 3*7 or 21. 105 7*5*3 Divide the numerator and the denominator by 21. Since the HCF of 3 and 5 is 1, the fraction is in simplest form.

17. Example b.Simplify. Assume that x and y are not equal to zero. 15x 2 y 2 35xy 2 Simplifying Fractions

18. 4-6 Simplifying Fractions The HCF of 15x 2 y 2 and 35xy 2 is 5*x*y*y. Example b.Simplify. Assume that x and y are not equal to zero. 15x 2 y 2 35xy 2 15x 2 y 2 35xy 2

19. Divide the numerator and denominator by 5xy2. 4-6 Simplifying Fractions The HCF of 15x 2 y 2 and 35xy 2 is 5*x*y*y. Example b.Simplify. Assume that x and y are not equal to zero. 15x 2 y 2 35xy 2 15x 2 y 2 35xy 2

20. Since the HCF of 3x and 7 is 1, the fraction 3x / 7 is in simplest form. Divide the numerator and denominator by 5xy2. 4-6 Simplifying Fractions The HCF of 15x 2 y 2 and 35xy 2 is 5*x*y*y. Example b.Simplify. Assume that x and y are not equal to zero. 15x 2 y 2 35xy 2 15x 2 y 2 35xy 2

21. 4-6 Simplifying Fractions I need two volunteers to rewrite the fraction below in simplest form. 24 60 40 100

22. Simplifying Fractions Rewrite the fraction below in simplest form. 24 60 40 100 Each individual now needs to find other fractions that when reduced equals 2/5.