Class Notes: Converting Mixed Numbers to Improper Fractions

Objective

Learn how to convert a mixed number to an improper fraction.

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Steps to Convert a Mixed Number to an Improper Fraction

1. Rewrite the denominator.
2. Multiply the whole number by the denominator.
3. Add the numerator to the result from step 2.
4. Write the sum over the original denominator.

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Example Problems

Example 1

• Mixed number: 4 2/3
  • Denominator: 3
  • Multiply: (4 \times 3 = 12)
  • Add Numerator: (12 + 2 = 14)
  • Improper fraction: ( \frac{14}{3} )

Example 2

• Mixed number: 3 2/5
  • Denominator: 5
  • Multiply: (3 \times 5 = 15)
  • Add Numerator: (15 + 2 = 17)
  • Improper fraction: ( \frac{17}{5} )

Example 3

• Mixed number: 5 4/7
  • Denominator: 7
  • Multiply: (5 \times 7 = 35)
  • Add Numerator: (35 + 4 = 39)
  • Improper fraction: ( \frac{39}{7} )

Example 4

• Mixed number: 6 3/4
  • Denominator: 4
  • Multiply: (6 \times 4 = 24)
  • Add Numerator: (24 + 3 = 27)
  • Improper fraction: ( \frac{27}{4} )

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Summary

• To convert a mixed number to an improper fraction:
  1. Rewrite the denominator.
  2. Multiply the whole number by the denominator.
  3. Add the numerator.
  4. Place the sum over the original denominator.

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End of Lesson