Algebraic Fractions with monomial Denominators. A monomial is a number, a variable, or a product of a number and variables. The degree of a monomial is.

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Presentation transcript:

Algebraic Fractions with monomial Denominators

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

Objective: Simplify fractions using the highest common factor.

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

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

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

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

Find the HCF of each set of numbers or monomials. 1.22, , , 18, 30 5-Minute Check

Find the HCF of each set of numbers or monomials. 1.22, , , 18, Minute Check

Find the HCF of each set of numbers or monomials. 1.22, , , 18, ab 3, 16a 4 b 2 5-Minute Check

Find the HCF of each set of numbers or monomials. 1.22, , , 18, ab 3, 16a 4 b 2 4ab 2 5-Minute Check

Find the HCF of each set of numbers or monomials. 1.22, , , 18, ab 3, 16a 4 b mnp, 45mp 3, 90m 3 n 4 5-Minute Check

Find the HCF of each set of numbers or monomials. 1.22, , , 18, ab 3, 16a 4 b mnp, 45mp 3, 90m 3 n 4 15m 5-Minute Check

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

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 *5*3 Divide the numerator and the denominator by 21.

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

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

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

Divide the numerator and denominator by 5xy 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

Since the HCF of 3x and 7 is 1, the fraction 3x / 7 is in simplest form. Divide the numerator and denominator by 5xy 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

4-6 Simplifying Fractions I need two volunteers to rewrite the fraction below in simplest form

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