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Lesson Menu Main Idea NGSSS Key Concept:Multiply Fractions Example 1:Multiply Fractions Example 2:Multiply Fractions Example 3:Simplify Before Multiplying Example 4:Multiply Mixed Numbers Example 5:Real-World Example Example 6: Real-World Example Five-Minute Check
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Main Idea/Vocabulary Multiply fractions and mixed numbers.
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NGSSS MA.7.A.3.2 Add, subtract, multiply, and divide integers, fractions, and terminating decimals, and perform exponential operations with rational bases and whole number exponents including solving problems in everyday contexts.
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Key Concept
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Example 1 Multiply Fractions Find Write in simplest form. Simplify. Answer: Multiply the numerators. Multiply the denominators.
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Example 1 CYP Find Write in simplest form. A. B. C. D.
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Example 2 Find Write in simplest form. Multiply Fractions Multiply the numerators. Multiply the denominators. Write 6 as and as. Simplify. Answer: –2
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Example 2 CYP Find Write in simplest form. A. B. C. D.
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Example 3 Simplify Before Multiplying Find Write in simplest form. Divide 12 and 4 by their GCF, 4. Answer: Multiply.
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Example 3 CYP Find Write in simplest form. A. B. C. D.
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Example 4 Find Write in simplest form. Multiply Mixed Numbers Method 1 Rename the mixed number. Estimate Rename as an improper fraction,. Divide 48 and 3 by their GCF, 3.
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Example 4 Multiply Mixed Numbers Multiply. Simplify. Method 2 Use mental math. The mixed number is equal to 6 +. Use the Distributive Property to multiply.
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Example 4 Multiply Mixed Numbers Answer: Check for Reasonableness
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Example 4 CYP Find Write in simplest form. A. B. C. D.
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Example 5
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Write the equation. Rename the mixed number as an improper fraction. Divide 868 and 4 by their GCF, 4. Divide 3 and 3 by their GCF, 3.
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Example 5 Answer: Mel’s father rode 217 miles. Multiply. Then rename as a whole number.
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Example 5 CYP DISTANCE Seth’s house is 8 miles from school. Tina’s house is of this distance from school. How far is Tina’s house from school? A.7 mi C.8 mi B.7 miD.8 mi
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Example 6 CANNING Roberta canned 32 quarts of her prize-winning apricot jam. She sold of them at a street fair. Find the number of quarts she sold.
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Example 6 Write the equation. Rename the mixed number as an improper fraction. Divide 32 and 8 by their GCF, 8. Multiply. Then rename as a whole number. Answer: Roberta sold 20 quarts of jam.
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Example 6 CYP A. 156 quartersC. 24 quarters B.132 quartersD. 12 quarters MONEY Carmen had 144 quarters in a jar. She sorted the quarters by year and found that of the quarters were from 1976. How many quarters were from the year 1976?
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Five Minute Check 1 Find. Write in simplest form. A. B. C. D.
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Five Minute Check 2 Find. Write in simplest form. A. B.1 C. D.
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Five Minute Check 3 Find. Write in simplest form. A. B. C. D.
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Find Write in simplest form. Five Minute Check 4 A. B. C. D.
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A.575 novels B.232 novels C.92 novels D.46 novels Five Minute Check 5 Jeffrey owns 230 books. Of those books, of them are novels. How many novels does Jeffrey own? __ 2 5
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Five Minute Check 6 A. C. B. D. __ 3 4 2 5 At the school dance, of the students wore the school colors; of them were in the 7 th grade. What fraction of the students at the school dance that wore the school colors were in the 7 th grade?
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