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Lesson Menu Five-Minute Check (over Lesson 4–1) Main Idea and Vocabulary Example 1:Write Equivalent Fractions Example 2:Write Equivalent Fractions Example 3:Write Fractions in Simplest Form Example 4:Express Fractions in Simplest Form

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Main Idea/Vocabulary Express fractions in simplest form. equivalent fractions simplest form

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Example 1 Write Equivalent Fractions Replace the ■ with a number so the fractions are equivalent. ■ Answer:24 Since 13 × 4 = 52, multiply the numerator and denominator by 4. ×4

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1.A 2.B 3.C 4.D Example 1 ■ A.25 B.30 C.35 D.40 Replace the ■ with a number so the fractions are equivalent.

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Example 2 Write Equivalent Fractions Replace the ■ with a number so the fractions are equivalent. Since 24 ÷ 8 = 3, divide the numerator and denominator by 8. ■ Answer:5 ÷8

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1.A 2.B 3.C 4.D Example 2 ■ A.5 B.6 C.7 D.8 Replace the ■ with a number so the fractions are equivalent.

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Example 3 Write Fractions in Simplest Form Method 1 Divide by common factors. Write in simplest form. ÷2 ÷7 A common factor of 14 and 42 is 2. A common factor of 7 and 21 is 7.

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Example 3 Write Fractions in Simplest Form Method 2 Divide by the GCF. factors of 14: 1, 2, 7, 14 factors of 42: 1, 2, 3, 6, 7, 14, 21, 42 The GCF of 14 and 42 is 14. Divide the numerator and denominator by the GCF, 14. Answer: Since the GCF of 1 and 3 is 1, the fraction is in simplest form. ÷14

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1.A 2.B 3.C 4.D Example 3 Write in simplest form. A. B. C. D.

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Example 4 The GCF of 16 and 168 is 8. Express Fractions in Simplest Form GYMNASTICS Lin practices gymnastics 16 hours each week. There are 168 hours in a week. Express the fraction in simplest form. Answer: So, Lin practices gymnastics for or 2 out of every 21 hours of the week. Mentally divide both the numerator and denominator by 8.

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1.A 2.B 3.C 4.D Example 4 TRANSPORTATION There are 244 students at Longfellow Elementary School. Of those students, 168 ride a school bus to get to school. Express the fraction in simplest form. A.B. C.D.

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End of the Lesson

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Resources Five-Minute Check (over Lesson 4–1) Image Bank Math Tools Animation Menu Greatest Common Factor

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Animation Menu 4-24-2 Equivalent FractionsEquivalent Fractions 4-94-9 Ordered Pairs and FunctionsOrdered Pairs and Functions

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1.A 2.B 3.C 4.D Five Minute Check 1 A.3 B.5 C.7 D.9 Find the GCF of 15 and 21. (over Lesson 4-1)

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1.A 2.B 3.C 4.D Five Minute Check 2 A.30 B.12 C.10 D.6 Find the GCF of 12 and 30. (over Lesson 4-1)

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1.A 2.B 3.C 4.D Five Minute Check 3 A.3 B.5 C.15 D.25 Find the GCF of 15 and 75. (over Lesson 4-1)

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1.A 2.B 3.C 4.D Five Minute Check 4 A.7 B.6 C.3 D.2 Find the GCF of 12, 42, and 60. (over Lesson 4-1)

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1.A 2.B 3.C 4.D Five Minute Check 5 A.6 B.9 C.11 D.18 Find the GCF of 36, 54, and 198. (over Lesson 4-1)

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1.A 2.B 3.C 4.D Five Minute Check 6 A.5 B.10 C.15 D.25 Which number can divide into 25, 40, and 100? (over Lesson 4-1)

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