Summary 151 Chapter 2 Summary Section 2.1 Introduction to Fractions and Mixed Numbers Key Concepts A fraction represents a part of a whole unit. For example, represents one part of a whole unit that is divided into 3 equal pieces. 13 In the fraction , the “top” number, 1, is the numerator, and the “bottom” number, 3, is the denominator. A fraction in which the numerator is less than the denominator is called a proper fraction. A fraction in which the numerator is greater than or equal to the denominator is called an improper fraction. An improper fraction can be written as a mixed number by dividing the numerator by the denominator. Write the quotient as a whole number, and write the remainder over the divisor. A mixed number can be written as an improper fraction by multiplying the whole number by the denominator and adding the numerator.Then write that total over the denominator. Fractions can be represented on a number line. For example, represents 3 10 . 0 1 1 3 Examples Example 1 of the pie is shaded. Example 2 For the fraction , the numerator is 7 and the denominator is 9. Example 3 is an improper fraction, is a proper fraction, and is an improper fraction. Example 4 313 can be written as because 10 3 Example 5 can be written as because Example 6 8 10 0 1 3 310 9 1 2 5 4 5 14 5 14 . 2 5 45 3 3 3 5 5 3 7 9 1 3
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