Lesson 4 3 Simplifying Fr actions Essential Question
- Slides: 26
Lesson 4. 3 Simplifying Fr actions Essential Question: How do you simplify fractions?
Before we start… •
What is a fraction? •
What is simplest form? If the numerator and denominator have 1 as their greatest common factor
What are equivalent fractions? Fractions representing the same number. They have the same simplest form.
How do you simplify fractions? • Write the prime factorization of the numerator and denominator. • Divide out the common factor. • Simplify.
History One of the Czech Republic’s royal coronation jewels is the St. Wenceslas crown. It was made around 1345 and is decorated with 44 spinels, 30 emeralds, 22 pearls, 19 sapphires, and 1 ruby. Write in simplest form the fraction of jewels in the crown that are emeralds? Pearls? Sapphires? Spinels?
Students Twelve students in a group of 30 are boys. Write the fraction of boys in the group in simplest form.
Basketball Mr. Wilkens has attended 18 of his daughter’s 24 basketball games. What fraction of games has he missed?
Fundraiser Your class of 30 students votes on what type of fundraiser to have this year: a car wash, a fair, or a dance. Eight students choose a car wash and 12 students choose a fair. Find the fraction of students who choose to have a dance. Write your answer in simplest form.
Tell whether the fractions are equivalent. •
Tell whether the fractions are equivalent. •
Tell whether the fractions are equivalent. •
Simplifying Variable Expressions • You can use prime factorization to simplify fractions that contain variable expressions.
How do you simplify variable expressions? • Factor the numerator and denominator. • Divide out common factors. • Simplify.
How do you simplify fractions?
Ticket Out the Door •