Algebra Ratios Flashcards
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Questions and Answers

What is the definition of a ratio?

The comparison of two numbers by division. The quotient is the ratio of the two numbers.

What is the simplified form of the ratio 6/9?

  • 4/5
  • 3/4
  • 2/3 (correct)
  • 1/2
  • What is the simplified form of the ratio 21:28?

  • 3:4 (correct)
  • 4:5
  • 2:3
  • 1:2
  • What is the simplified form of the ratio 25:45?

    <p>5:9</p> Signup and view all the answers

    What is the value of a/b if a= 3 and b=5?

    <p>3/5</p> Signup and view all the answers

    What is the value of b/a if a=3 and b=5?

    <p>5/3</p> Signup and view all the answers

    What is the value of a/(a+b) if a=3 and b=5?

    <p>3/8</p> Signup and view all the answers

    What is the ratio c:d if c=4 and d=5?

    <p>4:5</p> Signup and view all the answers

    Study Notes

    Ratios and Their Definitions

    • A ratio expresses a relationship between two numbers using division.
    • The result of dividing one number by another is called the quotient, which defines the ratio.

    Simplifying Ratios

    • The ratio 6/9 simplifies to 2/3.
    • Another example, the ratio 21:28 simplifies to 3:4.
    • The ratio 25:45 simplifies to 5:9.

    Ratios with Variables

    • For specific values where a=3 and b=5, the ratio ( a/b ) equals 3/5.
    • When ( a=3 ) and ( b=5 ), the ratio ( b/a ) results in 5/3.
    • The ratio ( a/(a+b) ) where ( a=3 ) and ( b=5** gives 3/8.
    • For c=4 and d=5, the ratio ( c:d ) is represented as 4:5.

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    Description

    Explore the world of ratios with these flashcards designed for algebra learners. Each card presents a ratio or a comparison that will deepen your understanding of this important mathematical concept. Perfect for revision or quick study sessions.

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