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Chapter 4 Notes 7 th Grade Math

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Adding and Subtracting Fractions10/30 2. Find a common denominator 3. Add or subtract the numerators Steps 4. Keep the common denominator 5. Write in simplest form (change all improper fractions back into mixed numbers) 1. Convert all mixed numbers into improper fractions

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Example Common denominator so add or subtract the numerator Already in simplest form

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Example Find a common denominator Add or Subtract numerators 24 x 4 Already in simplest form

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Converting A Mixed Number To an Improper MAD face 1. Multiply the denominator by the whole number then add the product to the numerator 2. That is the new numerator— keep the old denominator Multiply, Add, keep the Denominator

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6 x 5 + 3 6 30 + 3 6 33 6

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1. Divide the numerator by the denominator Converting An Improper To a Mixed # 2. The quotient is the whole number 3. The remainder is the new numerator 4. Keep the same denominator

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Example Convert 26 to a mixed number 3 3 26 8 -24 2 R 2

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Example 1. Convert all mixed numbers into improper fractions 2. Find a common denominator 3. Add or subtract the numerators 4. Keep the common denominator 5. Write in simplest form

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You try Workbook p 63 # 1-20

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Multiplying Fractions11/3 2. Simplify by taking common factors out of the numerators and denominators 3. Multiply numerators together Steps to multiply fractions 4. Multiply denominators together 5. Write in simplest form (change all improper fractions back into mixed numbers) 1. Convert all mixed numbers into improper fractions

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Example 2. Simplify by taking common factors out of the numerators and denominators ÷ 5 ÷ 5 3. Multiply numerators together 4. Multiply denominators together 5. In simplest form

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You try Workbook P 67 # 1-21 odd

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1. Convert all mixed numbers into improper fractions 2. Keep 1 st fraction Steps to divide fractions 3. Change Division to multiplication 4. Flip Write the reciprocal of the 2 nd fraction 5. Follow steps to multiply fractions Dividing Fractions11/3

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Example Keep X Change Flip Multiply ÷ 4 ÷ 4÷ 4

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You try Workbook p 69 # all

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