Operations with Rational Numbers
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Questions and Answers

What is the result of 1/6 + 2/6?

  • 1/3
  • 3/3
  • 3/6 (correct)
  • 3/12
  • What is the result of 3/8 - 2/8?

  • 5/16
  • 5/8
  • 1/8 (correct)
  • 3/16
  • What is the first step to add 1/4 + 2/6?

  • Add the numerators
  • Multiply the denominators
  • Subtract the numerators
  • Find the least common multiple of the denominators (correct)
  • What is the result of 2/3 + 1/4 after converting to a common denominator?

    <p>13/12</p> Signup and view all the answers

    What is the rule for adding or subtracting rational numbers?

    <p>Ensure the denominators are the same</p> Signup and view all the answers

    Study Notes

    Operations with Rational Numbers

    Addition of Rational Numbers

    • To add rational numbers, follow the usual rules for adding fractions:
      • Ensure the denominators are the same
      • Add the numerators
      • Keep the same denominator
    • Example: 1/4 + 2/4 = (1 + 2)/4 = 3/4

    Subtraction of Rational Numbers

    • To subtract rational numbers, follow the usual rules for subtracting fractions:
      • Ensure the denominators are the same
      • Subtract the numerators
      • Keep the same denominator
    • Example: 3/6 - 2/6 = (3 - 2)/6 = 1/6

    General Rules

    • When adding or subtracting rational numbers, it is essential to have the same denominator
    • If the denominators are different, find the least common multiple (LCM) and convert both fractions to have the LCM as the denominator before performing the operation
    • Simplify the resulting fraction, if possible

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    Description

    Learn how to add and subtract rational numbers, including rules for same and different denominators. Practice with examples and simplify your results.

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