2. Reducing Improper Fractions By: Greg Stark EC&I 831

3. What are improper fractions? An improper fraction occurs when the numerator is larger than the denominator. This means that we have more parts available than are needed to make a whole. Numerator -------------------- Denominator Represents the number of parts into which the whole has been divided Represents the number of parts of a whole we have.

4. For example: 7474 3434 1

5. Another example: 10 3 1313 3

6. Reducing by dividing 1.Divide the numerator by the denominator 2.Write the quotient as the whole number part of your answer 3.Use the remainder as the new numerator over the denominator 10 3 3 10 3 9 1 R 1 3 1313

7. Reducing by dividing 1.Divide the numerator by the denominator 2.Write the quotient as the whole number part of your answer 3.Use the remainder as the new numerator over the denominator 25 4 4 25 6 24 1 R 1 6 1414

8. Make sure your answer is in lowest terms 58 12 12 58 4 48 10 R 10 4 10 12 2 ---- 2 5 6 4 5656

9. Remember: To reduce improper fractions, regroup the parts you have (the numerator) into complete wholes (the denominator) Leave the remaining number of pieces in place over the denominator Reduce the fractional part of your answer if necessary