Mixed Numbers and Improper Fractions for 4th Grade
A mixed number and an improper fraction name the same amount in different forms. To convert, multiply the whole number by the denominator and add the numerator, or divide to go back. The examples below show both directions, with practice problems.
DETAILED EXPLANATION
A mixed number has a whole number and a fraction (e.g., 2 1/3). An improper fraction has numerator ≥ denominator (e.g., 7/3). They are equivalent: 2 1/3 = 7/3.
WORKED EXAMPLES WITH STEP BY STEP SOLUTIONS
Example 1
Write 2 3/4 as an improper fraction.
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Solutions:
Step 1: Apply the concept from the lesson above.
Step 2: Carry out the operation or reasoning.
Answer: 2 3/4 = 11/4 (2×4+3=11).
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