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 (C)</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 (C)</p> Signup and view all the answers

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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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