100 Chapter 2 Fractions and Mixed Numbers: Multiplication and Division Multiply the whole number by the denominator. Example 6 Now suppose we want to convert an improper fraction to a mixed number. In Figure 2-4, the improper fraction represents 13 slices of pizza where each slice is of a whole pizza. If we divide the 13 pieces into groups of 5, we make 2 whole pizzas with 3 pieces left over. Thus, This process can be accomplished by division. 2 3 5 2 513 10 3 13 5 15 13 5 Add the numerator. Write the result over the denominator. Converting Mixed Numbers to Improper Fractions Convert the mixed number to an improper fraction. a. b. Solution: a. b. 42 5 29 4 40 2 5 28 1 4 8 2 5 8 5 2 5 7 1 4 7 4 1 4 8 2 5 7 1 4 13 pieces 2 groups of 5 3 left over 2 3 5 13 5 Figure 2-4 remainder divisor Answers 12. 13. 31 2 85 8 Changing a Mixed Number to an Improper Fraction Step 1 Multiply the whole number by the denominator. Step 2 Add the result to the numerator. Step 3 Write the result from step 2 over the denominator. For example, 3 1 2 3 2 1 2 7 2 Skill Practice Convert the mixed number to an improper fraction. 12. 13. 15 1 2 10 5 8 Avoiding Mistakes When writing a mixed number, the sign between the whole number and fraction should not be written. This process to convert a mixed number to an improper fraction can be summarized as follows. 13 5 2 3 5
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