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SOL Changing Fractions to Mixed Numbers A proper _____________ is a fraction whose numerator is smaller than the denominator. ½ is a proper fraction An ___________ fraction is a fraction whose ____________ is ______________ than or equal to the ______________. 8/3 is an improper fraction. A ___________ number is a whole number and a fraction. 2 2/3 is a mixed number. You can change an improper fraction to a mixed number. 9/4 = 2 ¼ To change an improper fraction to a mixed number, divide the numerator by the denominator. Example: Change 8/3 to a mixed number. Step 1: Step 2: The fraction 8/3 is the mixed number 2 and 2/3. Sometimes, the fraction part of the mixed number needs to be reduced to lowest terms. Example: Change 28/8 to a mixed number. Step 1: Step 2: Step 3: The fraction 28/8 is the mixed number 3 ½. Sometimes an improper fraction can be written as a whole number. 15/3 = 5 (15 divided by 3 =5). Practice: Change each fraction to a mixed number or a whole number. 1. 17/9 2. 8/5 3. 10/3 4. 16/8 5. 18/3 6. 54/8 7. 25/3 8. 65/3 9. 82/9 10. 35/5 SOL Changing Fractions to Mixed Numbers (Key) A proper fraction is a fraction whose numerator is smaller than the denominator. ½ is a proper fraction An improper fraction is a fraction whose numerator is larger than or equal to the denominator. 8/3 is an improper fraction. A mixed number is a whole number and a fraction. 2 2/3 is a mixed number. You can change an improper fraction to a mixed number. 9/4 = 2 ¼ To change an improper fraction to a mixed number, divide the numerator by the denominator. Example: Change 8/3 to a mixed number. Step 1: Divide the numerator by the denominator. (8 divided by 3= 2 and 2 out of 3 parts) Step 2: Write the remainder as a fraction. 2 2/3 The fraction 8/3 is the mixed number 2 and 2/3. Sometimes, the fraction part of the mixed number needs to be reduced to lowest terms. Example: Change 28/8 to a mixed number. Step 1: Divide the numerator by the denominator. (28 divided by 8 = 3 and 4 out of 8 parts) Step 2: Write the remainder as a fraction. 3 4/8. Step 3: Reduce the fraction to the lowest terms. 3 ½. The fraction 28/8 is the mixed number 3 ½. Sometimes an improper fraction can be written as a whole number. 15/3 = 5 (15 divided by 3 =5). Practice: Change each fraction to a mixed number or a whole number. 1. 17/9 1 8/9 2. 8/5 3. 10/3 3 1/3 4. 16/8 5. 18/3 6 6. 54/8 7. 25/3 8 1/3 8. 65/3 9. 82/9 9 1/9 10. 35/5 1 3/5 2 6 6/8, 6 3/4 21 2/3 7