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Rules for Fractions

Rules for Fractions. Addition, Subtraction, Multiplication and Division. Fractions. Numerator ---------  3 --- Denominator --------  5 . Reminders: 1) “D” is down 2) N.o.D Numerator over Denominator. Equivalent. Reverse. Reducing. | | | | | |.

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Rules for Fractions

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  1. RulesforFractions Addition, Subtraction, Multiplication and Division

  2. Fractions Numerator --------- 3 --- Denominator -------- 5 Reminders: 1) “D” is down 2) N.o.D Numerator over Denominator

  3. Equivalent Reverse Reducing | | | | | | (÷ 2) (÷ 2) 4 = --- 5 • * (5) • * (5) 20 = --- 25 8 --- 10 4 --- 5

  4. Addition/Subtraction • Convert fractions to have common denominators, • Use LCM or • Multiply the Denominators together • Add or Subtract the numerators

  5. Addition Example or as a Mixed number:1 and 1/14 8 7 = --- + --- 14 14 15 = --- 14 • 1 • --- + --- • 7 2

  6. Multiplication A) Reduce Last • Multiply the Numerators • Multiply the Denominators • Reduce B) Reduce First • Reduce • Multiply the Denominators • Multiply the Numerators

  7. Multiplication ExampleReduce Last 7 3 Problem: --- * --- = 8 14 NOTE: The hard part is finding the GCF • 21 • --- • 112 (÷ 7) (÷ 7) 3 = --- 16

  8. Multiplication ExampleReduce First / ÷ 7 / ÷ 7 7 3 Problem: --- * --- = 8 14 • 1 • --- * --- • 2 • 3 • --- * --- • 8 3 = --- 16

  9. Division • Flip the second fraction • Change division to multiplication • Then multiply 2 / ÷ 7 / ÷ 7 / ÷ 2 / ÷ 2 12 --- 14 / ÷ 3 / ÷ 3 7 * --- 3 3 ÷ --- 7 4 = --- * --- 1 1 = --- * --- 2 2 = --- 1 = 2 * 1

  10. Summary • Addition/Subtraction – • Must have common denominators, then • Add the Numerators • Multiplication – • Multiply then reduce, or • Reduce then multiply • Division – • Flip second fraction, then • Multiply

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