Multiplying Fractions and 3 10 Mixed Numbers To

Multiplying Fractions and 3 -10 Mixed Numbers To multiply fractions, multiply the numerators to find the product’s numerator. Then multiply the denominators to find the product’s denominator.

Multiplying Fractions and 3 -10 Mixed Numbers Additional Example 1 A: Multiplying Fractions Multiply. Write the answer in simplest form. – 12 · 3 4 3 = – 12 · 3 Write – 12 as a fraction. – 12 · 4 1 4 3 12 · 3 Simplify. =– 1 · 41 = – 9 Multiply numerators. 1 Multiply denominators. Helpful Hint The product of two positive proper fractions is less than either fraction.

Multiplying Fractions and 3 -10 Mixed Numbers Additional Example 1 B: Multiplying Fractions Multiply. Write the answer in simplest form. 1 · 3 3 8 1 · 3 = 1 · 3 3 8 13· 8 = 1 8 1 Simplify. Multiply numerators. Multiply denominators.

Multiplying Fractions and 3 -10 Mixed Numbers Additional Example 1 C: Multiplying Fractions Multiply. Write the answer in simplest form. – 1 2 4 – 1 4 = – 1 4 1 16 – 1 is a factor 2 times. 4 The signs are the same so the answer is positive.

Multiplying Fractions and 3 -10 Mixed Numbers Check It Out: Example 1 A Multiply. Write each answer in simplest form. – 18 · 2 9 2 – 18 · 2 = – 2 · 2 9 1 =– 4

Multiplying Fractions and 3 -10 Mixed Numbers Check It Out: Example 1 B Multiply. Write each answer in simplest form. 5 · 4 8 15 1 1 5· 4 = 82 153 1 6

Multiplying Fractions and 3 -10 Mixed Numbers Check It Out: Example 1 C Multiply. Write the answer in simplest form. – 2 3 3 3 = – 8 = – 27 2 3 – 2 3 3

Multiplying Fractions and 3 -10 Mixed Numbers Additional Example 2 A: Multiplying Mixed Numbers Multiply. Write the answer in simplest form. 1 16 · 3 4 16 · 3 1 = 16 · 13 4 4 4 = 16 · 13 1 41 = 52 or 52 1 Write the mixed number as an improper fraction. Simplify. Multiply numerators. Multiply denominators.

Multiplying Fractions and 3 -10 Mixed Numbers Additional Example 2 B: Multiplying Mixed Numbers Multiply. Write the answer in simplest form. 2 · 12 5 3 2 · 12 = 2· 5 5 3 3 5 = 2· 5 5 3 1 =2 3 Write the mixed number as an improper fraction. 1 Simplify. Multiply numerators. Multiply denominators.

Multiplying Fractions and 3 -10 Mixed Numbers Additional Example 2 C: Multiplying Mixed Numbers Multiply. Write the answer in simplest form. · 21 41 7 5 41 · 2 1 = 21 · 15 Write the mixed numbers as 5 7 improper fractions. 3 3 21 · 15 Simplify. = 5 7 1 1 or 9 = 9 1 Multiply numerators. Multiply denominators.

Multiplying Fractions and 3 -10 Mixed Numbers Check It Out: Example 2 A Multiply. Write each answer in simplest form. 4 21 · 2 7 4 = 21 · 18 · 2 21 1 7 7 3 = 21 · 18 71 = 54

Multiplying Fractions and 3 -10 Mixed Numbers Check It Out: Example 2 B Multiply. Write each answer in simplest form. 3 · 15 9 5 3 · 1 5 = 3 · 14 9 5 1 = 3 · 14 93 5 = 14 15

Multiplying Fractions and 3 -10 Mixed Numbers Check It Out: Example 2 C Multiply. Write each answer in simplest form. 2· 2 3 13 10 1 2 · 2 3 = 5 · 23 3 10 1 = 5 · 23 3 102 = 23 6 = 35 6

Multiplying Fractions and 3 -10 Mixed Numbers Additional Example 3: Transportation Application In 2001, the car toll on the George Washington Bridge was $6. 00. In 1995 the toll was 2 of that 3 toll. What was the toll in 1995? 6· 2 =6▪ 2 3 1 3 = Write the whole number as a fraction. 12 3 4 = 1 Simplify. = $4. 00 Divide 4 by 1 to write the fraction as a decimal. The George Washington Bridge toll for a car was $4. 00 in 1995.

Multiplying Fractions and 3 -10 Mixed Numbers Check It Out: Example 3 A At Sofia’s, a pair of jeans costs $48. At Liliana’s a 5 pair of jeans costs 8 of the pair at Sofia’s. How much do the pair of jeans at Liliana’s cost? 6 48 · 5 = 30 1 81 = 30 Jeans cost $30 at Liliana’s.

Multiplying Fractions and 3 -10 Mixed Numbers Check It Out: Example 3 B 1 Maria is 3 2 times as old as Miguel. If Miguel is 5 1 2 years old, how old is Maria? 1 = 11 ▪ 7 3 51 ▪ 2 2 = 77 4 = 19 1 Years old 4

Multiplying Fractions and 3 -10 Mixed Numbers Check It Out: Example 3 C Admission to a water park is $32. 50 person. The student admission price is 2 of the full 3 admission price. What is the student admission price? Round your answer to the nearest hundredths place, if necessary. 32 1 2 ▪ 2 = 65 3 12 = 65 3 =21 2 ≈ $21. 67 3 1 ▪ 2 3

Multiplying Fractions and 3 -10 Mixed Numbers Lesson Quizzes Standard Lesson Quiz for Student Response Systems

Multiplying Fractions and 3 -10 Mixed Numbers Lesson Quiz: Part I Multiply. Write each answer in simplest form. 1. 1 · 5 8 6 5 48 2. 5 5 · 1 6 2 35 or 2 11 12 12 3. 1 1 10 2 4. 3 · 4 2 16 3 121 or 1 21 100 7 8

Multiplying Fractions and 3 -10 Mixed Numbers Lesson Quiz: Part II Multiply. Write the answer in simplest form. 5. A recipe for clam chowder calls for 2 41 pounds of butter. If you prepare one-half of the recipe, how much butter do you need? 1 1 pounds 8