1. Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. Chapter 2 Fractions

2. Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. Converting Between Improper Fractions and Mixed Numbers 2.3

3. Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. Proper and Improper Fractions If the value of a fraction is less than 1, the fraction is proper. If the value of a fraction is greater than or equal to 1, the fraction is improper. The numerator is greater than or equal to the denominator.

4. Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. Mixed Numbers A mixed number is the sum of a whole number greater than zero and a proper fraction.

5. Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. Mixed Numbers to Improper Fractions Changing a Mixed Number to an Improper Fraction 1.Multiply the whole number by the denominator of the fraction. 2.Add the numerator of the fraction to the product found in step 1. 3.Write the sum found in step 2 over the denominator of the fraction. Example: Change into an improper fraction. Multiply the whole number by the denominator. Add the numerator to the product. Write the sum over the denominator.

6. Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. Improper Fractions to Mixed Numbers Changing an Improper Fraction to a Mixed Number 1.Divide the numerator by the denominator. 2.Write the quotient followed by the fraction with the remainder over the denominator. Example: Change into a mixed number. denominator quotient remainder

7. Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. Reducing a Mixed Number or Improper Fraction Example: Reduce the improper fraction common factors 1 1 Example: Reduce the mixed number fraction 1 1