Algebraic Fractions with monomial Denominators. A monomial is a number, a variable, or a product of...

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.

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, 55 11

2. 106, 318

5-Minute Check

2. 106, 318 106

5-Minute Check

2. 106, 318

3. 15, 18, 30

5-Minute Check

2. 106, 318

3. 15, 18, 30 3

5-Minute Check

2. 106, 318

3. 15, 18, 30

4. 12ab3, 16a4b2

5-Minute Check

2. 106, 318

3. 15, 18, 30

4. 12ab3, 16a4b2 4ab2

5-Minute Check

2. 106, 318

3. 15, 18, 30

4. 12ab3, 16a4b2

5. 15mnp, 45mp3, 90m3n4

5-Minute Check

2. 106, 318

3. 15, 18, 30

4. 12ab3, 16a4b2

5. 15mnp, 45mp3, 90m3n4 15m

5-Minute Check

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

Example

105 7*5*3 Divide the numerator and the

denominator by 21.

Example

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.

Exampleb. Simplify . Assume that x and y are not equal to zero.15x2y2

The HCF of 15x2y2 and 35xy2 is 5*x*y*y.

15x2y2

Divide the numerator and denominator by 5xy2.

15x2y2

Since the HCF of 3x and 7 is 1, the fraction 3x/7 is in simplest form.

Divide the numerator and denominator by 5xy2.

15x2y2

I need two volunteers to rewrite the fraction below in simplest form.

Rewrite the fraction below in simplest form.

Each individual now needs to find other fractions that when reduced equals 2/5.

Algebraic Fractions with monomial Denominators. A monomial is a number, a variable, or a product of...

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