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Simplest Form

Simplest Form. By Mr. Bales. Objective. By the end of this lesson, you will be able to write a fraction in simplest form.

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Simplest Form

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  1. Simplest Form By Mr. Bales

  2. Objective • By the end of this lesson, you will be able to write a fraction in simplest form. • Standard 4NS1.5 - Students will explain different interpretations of fractions, for example, …..division of whole numbers by whole numbers; explain equivalence of fractions.

  3. Introduce • Some fractions are easer to understand than others. • What is 1/4 of a dollar? • What is 2/8 of a dollar? • These are actually the same amounts. It’s just that 1/4 is a lot easier to understand since its in simplest form.

  4. You Try • On your desk you will find some money. You need 4 quarters and 10 dimes. • How much is 1/2 of a dollar? • How much is 5/10 of a dollar? • How much is 2/4 of a dollar? • These fractions ( 1/2, 5/10, and 2/4) are equivalent fractions.

  5. Teach • There are 12 questions on a quiz. Andrew got 8 out of 12 or 8/12 of the questions correct. • What is 8/12 in simplest form?

  6. Simplest Form • Simplest form is when the numerator and denominator have no common factor other than one. • In other words, no other factor than 1 can go into the numerator and denominator evenly.

  7. Fractions in Simplest Form 1/2 2/3 3/4 3/7 5/8 Fractions NOT in Simplest Form 2/4 4/6 8/10 8/12 16/24 Simplest Form vs. NOT Simplest Form

  8. Example • Important - To change a fraction into its simplest form, you can divide both the numerator and the denominator by the greatest common factor (the biggest number that goes into both.) • Write 8/12 in simplest form. • Step 1 - Find the common factors. • Factors of 8: 1, 2, 4, 8 • Factors of 12: 1, 2, 3, 4, 6, 12 • Common Factors: 1, 2, and 4 • Step 2 - Divide the greatest common factor, 4. • 8 ÷ 4 = 2 12 ÷ 4 = 3 The numbers 2 and 3 have no common factor other than 1.

  9. Another Example • You can also change a fraction into simplest form by dividing by common factors (may not be the greatest factor) • Step 1 - Write a fraction. • 18 24 Divide by common factors. 18 = 18 ÷ 2 = 9 • 24 ÷2 12 9 = 9 ÷ 3 = 3 12 12 ÷ 3 = 4 A common factor of 18 and 24 is 2. A common factor of 9 and 12 is 3.

  10. Real World Example!! Bales Bucks!! Now a Game!!!

  11. Assignment • Page 524 - #’s 7 - 22 • Get them all correct - No Math Homework

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