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How to Determine if Your Ratio is in Simplest Form

Understanding if a ratio is in simplest form is essential for accurate calculations. A fraction is considered to be in simplest form when its numerator and denominator have no common factors other than 1. To check this, use basic divisibility rules: a number is divisible by 2 if it’s even, by 5 if it ends in 0 or 5, and by 10 if it ends in 0. For example, if both the numerator and denominator are even, divide by 2 to simplify. This guide will help you recognize and simplify ratios easily.

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How to Determine if Your Ratio is in Simplest Form

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  1. How do I know if my ratio is in simplest form? Reducing Ratios 6 12 1 2

  2. Simplest Form • A fraction is in simplest formwhen the numerator and denominator have no common factors other than 1.

  3. When a ratio is already in fraction form… • Use some simple divisibility rules But Mrs. Leonard – What are divisibility rules?

  4. Divisibility Rules (the basics) • A number is divisible by 2 if : the number is even • A number is divisible by 5 if: the number ends in a zero or a five • A number is divisible by 10 if: the number ends in a zero • When all else fails try 3.

  5. EXAMPLE 6 6 The numerator and the denominator are both EVEN Divide by 2 8 8 3 2 = ÷ 4 2

  6. EXAMPLE 5 5 The numerator and the denominator both end in 5 Divide by 5 15 15 1 5 = ÷ 3 5

  7. EXAMPLE Divide by 10 20 20 The numerator and the denominator both end in 0 30 30 2 10 = ÷ 3 10

  8. Let’s Give It a Try

  9. What is the ratio of cats to jack-o-lanterns?

  10. What is the ratio of candy corn to candy apples?

  11. There are 20 little Witches and 30 little Frankensteins at a Halloween Party. What is the ratio of Frankensteins to Witches?

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