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Transparency 2. Click the mouse button or press the Space Bar to display the answers. Splash Screen. Example 2-4b. Objective. Express fractions in simplest form. Example 2-4b. Vocabulary. Equivalent fractions. Fractions that have the same value. Example 2-4b. Vocabulary. Simplest form.

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  1. Transparency 2 Click the mouse button or press the Space Bar to display the answers.

  2. Splash Screen

  3. Example 2-4b Objective Express fractions in simplest form

  4. Example 2-4b Vocabulary Equivalent fractions Fractions that have the same value

  5. Example 2-4b Vocabulary Simplest form When the greatest common factor (GCF) of the numerator and denominator is 1

  6. Lesson 2 Contents Example 1Write Equivalent Fractions Example 2Write Equivalent Fractions Example 3Write Fractions in Simplest Form Example 4Express Fractions in Simplest Form

  7. Replace the  with a number in so the fractions are equivalent. Example 2-1a Write the proportion, placing a variable instead of a dot x Cross multiply to solve for x 13x Multiply the numerator of one ratio with the denominator of the other ratio Write it as a product (Remember: A number next to a variable means multiply 1/4

  8. Replace the  with a number in so the fractions are equivalent. Example 2-1a Bring down the = sign x Multiply the numerator of the other numerator with the denominator of the other ratio 13x 13x = 13x = 6(52) 13x = 13x = 312 Write it as a product using parenthesis Bring down 13x = Multiply 6  52 1/4

  9. Replace the  with a number in so the fractions are equivalent. Example 2-1a Ask: What is being done to the variable? x The variable is being multiplied by 13 13x 13x = 13x = 6(52) Do the inverse on both sides of the equal sign 13x = 13x = 312 The inverse of multiplying by 13 is dividing by 13 1/4

  10. Replace the  with a number in so the fractions are equivalent. Example 2-1a Using a fraction bar, divide both sides by 13 x Combine “like” terms Divide 13 by 13 13x = 13x = 6(52) 13x Bring down  x = 13x = 13x = 312 Combine “like” terms 13 13 Use the Identity Property to multiply 1  x 1  x = 24 1 1  x = x x = 24 Bring down = 24 Write fraction replacing the  with 24 Answer: 1/4

  11. Replace the  with a number in so the fractions are equivalent. Answer: Example 2-1b 1/4

  12. Replace the  with a number in so the fractions are equivalent. Example 2-2a Write the proportion, placing a variable instead of a dot x Cross multiply to solve for x 24x Multiply the numerator of one ratio with the denominator of the other ratio Write it as a product (Remember: A number next to a variable means multiply 2/4

  13. Replace the  with a number in so the fractions are equivalent. Example 2-2a Bring down the = sign Multiply the numerator of the other numerator with the denominator of the other ratio x 24x 24x = 24x = 40(3) 24x = 24x = 120 Write it as a product using parenthesis Bring down 24x = Multiply 40  3 2/4

  14. Replace the  with a number in so the fractions are equivalent. Example 2-2a Ask: What is being done to the variable? x The variable is being multiplied by 24 24x 24x = 24x = 40(3) 24x = 24x = 120 Do the inverse on both sides of the equal sign The inverse of multiplying by 24 is dividing by 24 2/4

  15. Replace the  with a number in so the fractions are equivalent. Example 2-2a Using a fraction bar, divide both sides by 24 Combine “like” terms x Divide 24 by 24 24x 24x = 24x = 40(3) 24x = 24x = 120 Bring down  x = 24 24 Combine “like” terms 1  x = 1 1  x = 5 Use the Identity Property to multiply 1  x x = x = 5 Bring down = 5 Answer: Write fraction replacing the  with 24 2/4

  16. Replace the  with a number in so the fractions are equivalent. Example 2-2b Answer: 2/4

  17. Write in simplest form. Example 2-3a Prime factor both the numerator and denominator 14 42 2 2 7 21 3 7 2  7 Circle factors that are common in each number and write as factors 14 GCF =14 Multiply common factors Identify as GCF 3/4

  18. Write in simplest form. Answer: Example 2-3a 14 is the GCF Divide the numerator by the GCF of 14  14  14 Divide the denominator by the GCF of 14 1 3 3/4

  19. Write in simplest form. Answer: Example 2-3c 3/4

  20. Example 2-4a GYMNASTICSLin practices gymnastics 16 hours each week. There are 168 hours in a week. Express the fraction in simplest form. Prime factor both the numerator and denominator 2 16 168 2 2 2 84 8 42 4 2 2 21 3 2 7 4/4

  21. Example 2-4a 168 2 2 16 84 2 8 2 2 42 4 2 21 3 2 7 Circle factors that are common in each number and write as factors 2  2  2 GCF = 8 8 Multiply common factors Identify as GCF 4/4

  22. Example 2-4a GYMNASTICSLin practices gymnastics 16 hours each week. There are 168 hours in a week. Express the fraction in simplest form. 8 is the GCF  8  8 Divide the numerator by the GCF of 8 2 Answer: hours Divide the denominator by the GCF of 8 21 Add dimensional analysis 4/4

  23. TRANSPORTATIONThere are 244 students at Longfellow Elementary School. Of those students, 168 ride a school bus to get to school. Express the fraction in simplest form. Answer: Example 2-4b * students 4/4

  24. End of Lesson 2 Assignment

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