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Lesson Menu Five-Minute Check (over Lesson 9–8) Main Idea and Vocabulary Example 1:Compare Fractions Example 2:Compare Fractions Using the LCD Example 3:Real-World Example Compare Fractions
Main Idea/Vocabulary I will compare fractions using common denominators. common denominator least common denominator (LCD)
Example 1 Compare Fractions Compare and using models and the least common denominator The models show that >
Example 1 Compare Fractions Step 1 Find the LCM of the denominators. The LCM of 3 and 4 is 12. Step 2 Find the equivalent fractions with a denominator of = THINK 3 × 4 = 12, 2 × 4 = = THINK 4 × 3 = 12, 2 × 3 = 6
Example 1 Compare Fractions Step 3 Compare the numerators. Since 8 > 6, then > Answer: So, >
1.A 2.B 3.C Example 1 A. B. C.
Example 2 Compare Fractions Using the LCD Compare and using models and the least common denominator Step 1 Find the LCM of the denominators. The LCM of 4 and 8 is 8. Note that multiplying 4 by 8 gives a common denominator of 32, which is not the LCD, 8.
Example 2 Compare Fractions Using the LCD Step 2 Find an equivalent fraction with a denominator of 8 for each fraction. 3 4 = THINK 4 × 2 = 8, 3 × 2 = = THINK 8 × 1 = 8, 7 × 1 = Step 3 Compare the numerators. Since 6 < 7, then < Answer: So, <
1.A 2.B 3.C Example 2 A. B. C.
Example 3 Idalia made 1 out of 2 baskets and Susan made 3 out of 5 baskets. Who made a greater fraction of baskets? The models show that <
Example 3 Step 1 Find the LCM of the denominators. The LCM of 2 and 5 is 10. Step 2 Find an equivalent fraction with a denominator of 10 for each fraction = THINK 2 × 5 = 10, 1 × 5 = = THINK 5 × 2 = 10, 3 × 2 = 6
Example 3 Step 3 Compare the numerators. Since 5 < 6, then < Answer: So, <. Susan made a greater fraction of baskets
1.A 2.B 3.C Example 3 A.Patricia B.Merlin C.They both ate the same amount. Patricia ate 4 out of 9 apples. Merlin ate 2 out of 4 apples. Who ate a larger fraction of apples?
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Resources Five-Minute Check (over Lesson 9–8) Image Bank Math Tool Chest Compare Fractions
1.A 2.B 3.C 4.D Five Minute Check 1 (over Lesson 9–8) A.2 hours 15 minutes B.2 hours 45 minutes C.3 hours 30 minutes D.4 hours 15 minutes Use any strategy to solve. Haloke practiced the trumpet for 1 hour on Monday. He decides to increase his practice time by 15 minutes each day. How long will he practice on the sixth day?
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