2.3 Simplest Form of a Fraction
1. Write fractions in simplest or lowest form.
2. Determine whether two fractions are equivalent: simplify and cross products.
3. Solve applications by writing fractions in simplest or lowest form.
Writing Fractions in Simplest or Lowest Form
Simplest Form of a Fraction— A fraction is written in simplest form or lowest terms when the numerator and
the denominator have no common factors other than 1.
Writing a Fraction in Simplest Form— To write a fraction in simplest form is to write the prime
factorization of the numerator and the denominator and then divide both by all common factors.
Example 1. Write each fraction in simplest or lowest form.
2. Determining Whether Two Fractions Are Equivalent
Two ways to Determine Whether Two Fractions Are Equivalent
2. Cross Product Rule:
Example 2. Determine whether each pair of fractions is equivalent by simplifying.