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**Proper and Improper Fractions**

Section 3.1

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**Objectives Write a fraction to describe the parts of a unit**

Select proper or improper fractions from a list of fractions Change improper fractions to mixed numbers Change mixed numbers to improper fractions

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**Objective 1: Write a fraction to describe the parts of a unit**

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**Objective 1 Fraction is a name for a number**

Upper numeral is the numerator Lower numeral is the denominator Shaded part of rectangle Yard stick Gas tank

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**Objective 2: Select proper or improper fractions from a list of fractions**

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**Objective 2 Proper fraction – numerator is less than the denominator**

Improper fraction – numerator is greater than or equal to denominator

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**Objective 3: Change improper fractions to mixed numbers**

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Objective 3 Mixed number – sum of a whole number and a fraction with addition sign omitted (fraction part is usually a proper fraction) To change an improper fraction to a mixed number Divide the numerator by the denominator The quotient is the whole number part The remainder, if there is one, is the new numerator (Keep the denominator the same)

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**Objective 4: Change mixed numbers to improper fractions**

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**Objective 4 Multiply the denominator times the whole number**

Add the numerator to the product from step one Write the sum from step two over the denominator (keep the same denominator)

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