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CHAPTER 4

MathQuest�FRACTION OPERATIONS

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CHAPTER GOALS

  • Multiply and divide fractions and mixed numbers�
  • Use multiplication and division to solve problems involving fractions and mixed numbers�
  • Use equations to solve problems with fractions.

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SECTION 4-1

MULTIPLYING FRACTIONS AND MIXED NUMBERS

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Section 4-1-Multiplying Fractions and Mixed Numbers

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Section 4-1-Multiplying Fractions and Mixed Numbers

VOCABULARY

fraction-part of a whole; a number written in the form a/b�

improper fraction-a fraction where the numerator (top number) is greater than the denominator (bottom number)

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mixed number-a whole number and a fraction combined into one number

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Section 4-1-Multiplying Fractions and Mixed Numbers

EXAMPLES

Find each product.

  1. ½ x ⅜
  2. 5/11 x 2
  3. 7 ½ x 8 ⅔

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SECTION 4-2

Modeling Fraction Division

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Section 4-2-Modeling Fraction Division

Fraction Division Model

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Section 4-2-Modeling Fraction Division

EXAMPLES

Use models to to find each quotient.

  1. 4 ÷ ⅓
  2. 8 ÷ ½
  3. 2 ½ ÷ ⅛
  4. 2 ⅔ ÷ ⅓

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SECTION 4-3

DIVIDING FRACTIONS

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Section 4-3-Dividing Fractions

  • Watch the following video:�Dividing Fractions�
  • Watch the following video: �Fraction Division Rap

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Section 4-3-Dividing Fractions

VOCABULARY

reciprocal-two numbers whose product is 1; flipping the top and bottom numbers in a fraction

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Section 4-3-Dividing Fractions

EXAMPLES

Find each quotient.

  1. 7 ÷ ⅗
  2. ⅕ ÷ ¼
  3. ¾ ÷ ⅛

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SECTION 4-4

DIVIDING MIXED NUMBERS

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Section 4-4-Dividing Mixed Numbers

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Section 4-4-Dividing Mixed Numbers

EXAMPLES

Find each quotient.

  1. 3 ⅙ ÷ 2
  2. 3 ⅓ ÷ 1 ½
  3. 10 ⅓ ÷ 3 ⅓

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SECTION 4-5

EQUATIONS WITH FRACTIONS

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Section 4-5-Equations with Fractions

  • Watch the following video:�Fraction and Equations�
  • Watch the following video:�Fraction Equations

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Section 4-5-Equations with Fractions

EXAMPLES

Solve each equation.

  1. x/3 = 12
  2. ⅔ r = 10
  3. ⅗ x = 5