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Simplifying Fractions

18 30. 18 ÷ 3 30 ÷ 3. =. Divide the numerator and denominator by a common factor. 6 10. 6 ÷ 2 10 ÷ 2. 3 5. If necessary, divide again by another common factor. =. 18 30. 3 5. In simplest form, is. COURSE 2 LESSON 3-5. Simplifying Fractions.

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Simplifying Fractions

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  1. 18 30 18 ÷ 3 30 ÷ 3 = Divide the numerator and denominator by a common factor. 6 10 6 ÷ 2 10 ÷ 2 3 5 If necessary, divide again by another common factor. = 18 30 3 5 In simplest form, is . COURSE 2 LESSON 3-5 Simplifying Fractions Write in simplest form. 3-5

  2. Divide the numerator and the denominator by the GCF. 138 ÷ 6 150 ÷ 6 = Simplify. The numbers 23 and 25 are relatively prime. 138 150 138 150 = 23 25 COURSE 3 LESSON 4-2 Equivalent Forms of Rational Numbers Write in simplest form using the GCF. The GCF of 138 and 150 is 6. 4-2

  3. Write the prime factorizations of the numerator and denominator. 2 • 2 • 3 • 5 2 • 3 • 3 • 7 2 • 2 • 3 • 5 2 • 3 • 3 • 7 = 1 1 = Divide the common factors. 60 126 60 126 1 1 10 21 = Simplify. COURSE 3 LESSON 4-2 Equivalent Forms of Rational Numbers Write in simplest form using prime factorization. 4-2

  4. Divide both numerator and denominator by the GCF, 4. 20 28 5 7 = = 5 7 The fraction of students that have a pet is . 20 ÷ 4 28 ÷ 4 COURSE 2 LESSON 3-5 Simplifying Fractions There are 28 students in Mai’s homeroom. Of these, 20 students have a pet. What fraction of the students have a pet? Write your answer in simplest form. 3-5

  5. 20 35 18 42 20 75 30 48 4 15 COURSE 2 LESSON 3-5 Simplifying Fractions Simplify. 1. 2. 3. 4. 4 7 3 7 5 8 3-5

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