Key Concept: Multiply Fractions Example 1: Multiply Fractions Main Idea 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 Lesson Menu

Multiply fractions and mixed numbers. Main Idea/Vocabulary

Key Concept

Find Write in simplest form. Multiply Fractions Find Write in simplest form. Multiply the numerators. Multiply the denominators. Simplify. Answer: Example 1

Find Write in simplest form. A. B. C. D. Example 1 CYP

Find Write in simplest form. Multiply Fractions Find Write in simplest form. Write 6 as and as . Multiply the numerators. Multiply the denominators. Simplify. Answer: –2 Example 2

Find Write in simplest form. A. B. C. D. Example 2 CYP

Simplify Before Multiplying Find Write in simplest form. Divide 12 and 4 by their GCF, 4. Multiply. Answer: Example 3

Find Write in simplest form. A. B. C. D. Example 3 CYP

Multiply Mixed Numbers Find Write in simplest form. Estimate Method 1 Rename the mixed number. Rename as an improper fraction, . Divide 48 and 3 by their GCF, 3. Example 4

Multiply Mixed Numbers 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

Find Write in simplest form. A. B. C. D. Example 4 CYP

Example 5

Rename the mixed number as an improper fraction. 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

Multiply. Then rename as a whole number. Answer: Mel’s father rode 217 miles. Example 5

DISTANCE Seth’s house is 8 miles from school 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 mi D. 8 mi Example 5 CYP

CANNING Roberta canned 32 quarts of her prize-winning apricot jam 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

Rename the mixed number as an improper fraction. 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

MONEY Carmen had 144 quarters in a jar 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? A. 156 quarters C. 24 quarters B. 132 quarters D. 12 quarters Example 6 CYP