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Rules for Fractions

This guide presents clear rules and reminders for performing operations with fractions. It covers addition and subtraction by finding common denominators, using the least common multiple (LCM), and processing numerators. The multiplication technique emphasizes reducing first or last, multiplying numerators and denominators efficiently. For division, the guide explains how to flip the second fraction and change the operation to multiplication. Each section includes examples and practical tips for effective fraction manipulation, ensuring a solid understanding of fundamental concepts.

stephen-maldonado
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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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