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Mixed Numbers and Improper Fractions

SWBAT read and write mixed numbers; rename a mixed number as an

improper fraction, and vice versa

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Definitions

• Mixed number – A whole number with a fraction

• Improper fraction – Has a value that is greater than 1. The

numerator is greater than the denominator.

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Renaming a mixed number as an improper fraction

• Multiply the whole number by the denominator

• Add the product to the numerator

• Write the sum over the denominator

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Examples

• 7 ½

• 8 4/5

• 5 1/10

• 22 1/8

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To rename an improper fraction as a mixed number

• Divide the numerator by the denominator

• Write the quotient as a whole number

• Write the remainder over the denominator

• Reduce it if necessary

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Examples

• 6/5

• 9/7

• 11/8

• 5/3

• 14/2

• 48/8

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Try These

• 4 ¼– 17/4

• 2 ½ – 5/2

• 2 1/8 – 17/8

• 12/8– 1 4/8 = 1 1/2

• 15/9– 1 6/9 = 1 2/3

• 44/6– 7 2/6 = 7 1/3

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Fraction Sense

SWBAT estimate whether a given fraction is close to 0, ½, or 1

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Steps

• Look at the denominator– Is the numerator more than half of it?– Is the numerator less than half of it?

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Examples

• 1/8

• 2/15

• 6/7

• 13/15

• 7/13

• 8/15

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Try These

• 13/27– ½

• 17/28– ½

• ¼– 0 or ½

• ¾ – ½ or 1