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
Main Idea/Vocabulary Multiply fractions and mixed numbers.
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.
Key Concept
Example 1 Multiply Fractions Find Write in simplest form. Simplify. Answer: Multiply the numerators. Multiply the denominators.
Example 1 CYP Find Write in simplest form. A. B. C. D.
Example 2 Find Write in simplest form. Multiply Fractions Multiply the numerators. Multiply the denominators. Write 6 as and as. Simplify. Answer: –2
Example 2 CYP Find Write in simplest form. A. B. C. D.
Example 3 Simplify Before Multiplying Find Write in simplest form. Divide 12 and 4 by their GCF, 4. Answer: Multiply.
Example 3 CYP Find Write in simplest form. A. B. C. D.
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.
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.
Example 4 Multiply Mixed Numbers Answer: Check for Reasonableness
Example 4 CYP Find Write in simplest form. A. B. C. D.
Example 5
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.
Example 5 Answer: Mel’s father rode 217 miles. Multiply. Then rename as a whole number.
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
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.
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.
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 How many quarters were from the year 1976?
Five Minute Check 1 Find. Write in simplest form. A. B. C. D.
Five Minute Check 2 Find. Write in simplest form. A. B.1 C. D.
Five Minute Check 3 Find. Write in simplest form. A. B. C. D.
Find Write in simplest form. Five Minute Check 4 A. B. C. D.
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
Five Minute Check 6 A. C. B. D. __ 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?