4-6 Simplifying Fractions

1
4-6 Simplifying Fractions

• Objective Simplify fractions using the greatest
  common factor.

2
5-Minute Check

• Find the GCF of each set of numbers or monomials.
• 22, 55

3
5-Minute Check

• Find the GCF of each set of numbers or monomials.
• 22, 55 11

4
5-Minute Check

• Find the GCF of each set of numbers or monomials.
• 22, 55
• 106, 318

5
5-Minute Check

• Find the GCF of each set of numbers or monomials.
• 22, 55
• 106, 318 106

6
5-Minute Check

• Find the GCF of each set of numbers or monomials.
• 22, 55
• 106, 318
• 15, 18, 30

7
5-Minute Check

• Find the GCF of each set of numbers or monomials.
• 22, 55
• 106, 318
• 15, 18, 30 3

8
5-Minute Check

• Find the GCF of each set of numbers or monomials.
• 22, 55
• 106, 318
• 15, 18, 30
• 12ab3, 16a4b2

9
5-Minute Check

• Find the GCF of each set of numbers or monomials.
• 22, 55
• 106, 318
• 15, 18, 30
• 12ab3, 16a4b2 4ab2

10
5-Minute Check

• Find the GCF of each set of numbers or monomials.
• 22, 55
• 106, 318
• 15, 18, 30
• 12ab3, 16a4b2
• 15mnp, 45mp3, 90m3n4

11
5-Minute Check

• Find the GCF of each set of numbers or monomials.
• 22, 55
• 106, 318
• 15, 18, 30
• 12ab3, 16a4b2
• 15mnp, 45mp3, 90m3n4 15m

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4-6 Simplifying Fractions

• Example
• Write 63/105 in simplest form.
• 63 733 The GCF of 63 and 105 is 37 or 21.
• 105 753

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4-6 Simplifying Fractions

• Example
• Write 63/105 in simplest form.
• 63 733 The GCF of 63 and 105 is 37 or 21.
• 105 753
• Divide the numerator and the denominator
  by 21.

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4-6 Simplifying Fractions

• Example
• Write 63/105 in simplest form.
• 63 733 The GCF of 63 and 105 is 37 or 21.
• 105 753
• Divide the numerator and the denominator
  by 21.
• Since the GCF of 3 and 5 is 1, the fraction
• is in simplest form.

15
4-6 Simplifying Fractions

• Example
• Simplify . Assume that x and y are not equal to
  zero.

15x2y2 35xy2
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4-6 Simplifying Fractions

• Example
• Simplify . Assume that x and y are not equal to
  zero.

15x2y2 35xy2
15x2y2 35xy2
The GCF of 15x2y2 and 35xy2 is 5xyy.
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4-6 Simplifying Fractions

• Example
• Simplify . Assume that x and y are not equal to
  zero.

15x2y2 35xy2
15x2y2 35xy2
The GCF of 15x2y2 and 35xy2 is 5xyy. Divide
the numerator and denominator by 5xy2.
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4-6 Simplifying Fractions

• Example
• Simplify . Assume that x and y are not equal to
  zero.

15x2y2 35xy2
15x2y2 35xy2
The GCF of 15x2y2 and 35xy2 is 5xyy. Divide
the numerator and denominator by 5xy2. Since the
GCF of 3x and 7 is 1, the fraction 3x/7 is in
simplest form.
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4-6 Simplifying Fractions
I need two volunteers to rewrite the fraction
below in simplest form.
24 60
40 100
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4-6 Simplifying Fractions
I need two volunteers to 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.
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4-6 Simplifying Fractions
Now find additional pairs of fractions that when
reduced equal each other.
22
4-6 Simplifying Fractions
Assignment 20 - 42 even, 44 - 54 all Starting
on page 198.