Fractions Basics and Operations
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Questions and Answers

What is a fraction?

  • A way to express a decimal as a ratio of two integers
  • A way to express a part of a whole as a ratio of two integers (correct)
  • A way to express a whole as a single number
  • A way to express a whole as a ratio of two decimals

    • What is the purpose of finding a common denominator when adding or subtracting fractions?

  • To make the denominators the same (correct)
  • To find the greatest common divisor
  • To make the numerators the same
  • To simplify the fractions

    • What is the result of multiplying two fractions?

  • A fraction with a smaller numerator and denominator
  • A fraction with the sum of the numerators and denominators
  • A fraction with the product of the numerators and denominators (correct)
  • A fraction with a larger numerator and denominator

    • What is an improper fraction?

    <p>A fraction with a numerator greater than the denominator</p> Signup and view all the answers

    What is the first step in dividing fractions?

    <p>Invert the second fraction</p> Signup and view all the answers

    Study Notes

    Definition and Basics

    • A fraction is a way to express a part of a whole as a ratio of two integers: numerator (top number) and denominator (bottom number)
    • Examples: 1/2, 3/4, 2/3

    Key Concepts

    • Equivalent Fractions: fractions that have the same value but different numbers
      • Example: 1/2 = 2/4 = 3/6
    • Simplifying Fractions: reducing a fraction to its simplest form by dividing both numerator and denominator by their greatest common divisor (GCD)
      • Example: 6/8 = 3/4 (simplified)
    • Improper Fractions: fractions where the numerator is greater than the denominator
      • Example: 3/2, 5/3
    • Mixed Numbers: a combination of a whole number and a proper fraction
      • Example: 2 1/2, 3 3/4

    Operations with Fractions

    • Adding and Subtracting Fractions:
      • Find a common denominator (LCD) for the two fractions
      • Add or subtract the numerators and keep the common denominator
    • Multiplying Fractions:
      • Multiply the numerators and denominators separately
      • Simplify the resulting fraction
    • Dividing Fractions:
      • Invert the second fraction (i.e., flip the numerator and denominator)
      • Multiply the first fraction by the inverted second fraction
      • Simplify the resulting fraction

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    Description

    Test your understanding of fractions, including equivalent fractions, simplifying fractions, improper fractions, and mixed numbers. Learn how to add, subtract, multiply, and divide fractions with confidence.

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