1.3 Fractions

Learning Objectives

By the end of this section, you will be able to:

  • Simplify fractions
  • Multiply and divide fractions
  • Add and subtract fractions
  • Use the order of operations to simplify fractions
  • Evaluate variable expressions with fractions

BE PREPARED 1.3
A more thorough introduction to the topics covered in this section can be found in the Elementary Algebra 2e chapter, Foundations.

Simplify Fractions

fraction is a way to represent parts of a whole. The fraction 2/3 represents two of three equal parts. See Figure 1.5. In the fraction 2/3, the 2 is called the numerator and the 3 is called the denominator. The line is called the fraction bar.

Figure shows a circle divided in three equal parts. 2 of these are shaded.
Simplify Fractions
fraction is a way to represent parts of a whole. The fraction 23
2
3 represents two of three equal parts. See Figure 1.5. In the fraction 2/3, the 2 is called the numerator and the 3 is called the denominator. The line is called the fraction bar.

FRACTION
fraction is written ab,ab, where b≠0b≠0 and
a is the numerator and b is the denominator.
A fraction represents parts of a whole. The denominator bb is the number of equal parts the whole has been divided into, and the numerator aa indicates how many parts are included.

Fractions that have the same value are equivalent fractions. The Equivalent Fractions

Property allows us to find equivalent fractions and also simplify fractions.

Example 1.29 Solution