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Mixed Numbers and Improper Fractions Lesson 3-5 Vocabulary A proper fraction has a numerator that is less than its denominator. An improper fraction has a numerator that is more than or equal to its denominator. A mixed number shows the sum of a whole number and a proper fraction. Examples Proper Fractions 5 8 Improper Fractions 7 10 12 3 Mixed Numbers 8 3 5 3 17 20 9 9 Writing Mixed Numbers as Improper Fractions • Multiply the denominator of the fraction by the whole number. • Add the product to the numerator. • The resulting sum is the numerator of the improper fraction. • The denominator remains the same. Example 4 2 3 14 3 Writing Improper Fractions as Mixed Numbers • If you have an improper fraction, you can divide the denominator into the numerator. • The quotient becomes the whole number part of the mixed number. • The remainder is the numerator of the fraction. • The divisor is the denominator of the fraction. Example 13 5 denominator 2 5 13 10 3 2 3 5 whole number numerator Homework Time