Lesson 1 operations with fractions part 2 (notes)

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Lesson 1 operations with fractions part 2 (notes)

  1. 1. Adding & Subtracting 2 4 5 −1 5 6 = LCD = 30 2 4 5 = 2 30 1 5 6 =1 30 24 25 31 30 1 1 30 • Find LCD if denominators are unlike. • Find equivalent fractions using the LCD. • If the first numerator is smaller than the second numerator, rename the fractions as Improper Fractions. • Subtract numerators. Keep the denominator. • Simplify. 84 30 55 30 = = = =
  2. 2. Multiplying • Rename fractions as Improper Fraction if needed. • Multiply numerator by numerator. • Multiply denominator by denominator. • Simplify. 1 2 5 •2 3 4 = 1 2 5 •2 3 4 = 7 5 • 11 4 7 5 • 11 4 = 77 7 5 • 11 4 = 77 20 3 17 20
  3. 3. Dividing • Rename fractions as Improper Fraction if needed. • Keep the first fraction. • Change division (÷) to multiplication (•). • Flip the second fraction to make its reciprocal. • Multiply the fractions. • Simplify. 2 1 4 ÷1 2 5 = 2 1 4 ÷1 2 5 = 9 4 ÷ 7 5 9 4 45 28 =1 17 28 9 4 • = 5 7 =

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