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Mixed Numbers and Improper Fractions
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Warm Up Write each fraction in simplest form. ππ ππ ππ πππ ππ πππ
ππ πππ π π π ππ π π π π
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An improper fraction has a numerator greater than or equal to its denominator.
A mixed number shows the sum of a whole number and a fraction.
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Changing a mixed number to an improper fraction.
Example 1: Change 2 π π ππ¨ ππ§ improper fraction. Multiply the whole number by the denominator. 2 x 4 = 8 Add the product to the numerator and this is the new numerator. 8 + 3 = 11 ππ π Keep the same denominator.
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Example 2: Change 3 π π ππ¨ ππ§ improper fraction.
ππ π
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Find out how many times 6 will go in to 15.
Example 3: Change ππ π ππ¨ π mixed number. Find out how many times 6 will go in to 15. 2 is the number of wholes and 3 is the remainder (part). 2 6 15 - 12 2 π π = 2 π π 3
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Example 4: Change ππ π ππ¨ π mixed number.
9 π π
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Practice Change to a mixed number. ππ π ππ π Change to an improper fraction. 3. 5 π π 4. 7 π π 7 π π 7 π π ππ π ππ π
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Change πππ π to a mixed number.
Closure Change πππ π to a mixed number. 48
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