3-10 Multiplying Fractions and Mixed Numbers Warm Up Course 2 Warm Up Problem of the Day Lesson Presentation

What is of each of the following? 1. 24 2. 16 3. 30 4. 28 12 8 Warm Up What is of each of the following? 1. 24 2. 16 3. 30 4. 28 1 2 12 8 15 14

Learn to multiply fractions and mixed numbers.

bridge was of the toll in 2005. The San Francisco-Oakland Bay Bridge, which opened in 1936,is a toll bridge used by drivers traveling between the two cities. In 1939 , the toll for a car crossing the bridge was of the toll in 2005. 2 15 To find the toll in 1939, you would need to multiply the toll in 2005 by a fraction. See Example 1 in your textbook.

toll. What was the toll in 1995? 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? 2 3 6 · = + 1 3 + 1 3 + 1 3 + 1 3 + 1 3 + 1 3 = 12 3 1 3 = 4 1 Simplify. 1 1 1 1 = $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.

In 2002, the fee to park in a parking garage was $4. In 2000 the fee was of the fee in 2002. What was the fee in 2000? 3 4 3 4 4 · = + + 1 4 = 12 4 1 4 = 3 1 1 Simplify. = $3.00 Divide 3 by 1 to write the fraction as a decimal. The fee to park in the parking garage was $3.00 in 2000.

To multiply fractions, multiply the numerators to find the product’s numerator. Then multiply the denominators to find the product’s denominator.

Multiply. Write the answer in simplest form. 3 –12 · 4 3 12 3 –12 · = – · Write –12 as a fraction. 4 1 4 3 12 · 3 = – Simplify. 1 · 4 1 9 Multiply numerators. Multiply denominators. = – = –9 1 You can write any integer as a fraction with a denominator of 1. Remember!

Multiply. Write the answer in simplest form. 1 3 · 3 8 1 3 8 · 1 1 3 · 8 = Simplify. 1 1 Multiply numerators. Multiply denominators. = 8

Multiply. Write the answer in simplest form. 3 1 · – 5 4 3 5 · 1 4 – The signs are different, so the answer will be negative. · 3 5 1 4 – = = 3 20 – Multiply numerators. Multiply denominators.

Multiply. Write the answer in simplest form. 1 –16 · 4 1 16 1 –16 · = – · Write –16 as a fraction. 4 1 4 4 16 · 1 = – Simplify. 1 · 4 1 4 Multiply numerators. Multiply denominators. = – –4 = 1

Multiply. Write the answer in simplest form. 1 6 · 6 9 1 6 9 · 1 1 6 · 9 = Simplify. 1 1 Multiply numerators. Multiply denominators. = 9

Multiply. Write the answer in simplest form. 3 1 – · 7 8 3 7 · 1 8 – The signs are different, so the answer will be negative. 1 8 · 3 7 – = = 3 56 – Multiply numerators. Multiply denominators.

Multiply. Write the answer in simplest form. 2 2 · 1 5 3 2 2 2 5 Write the mixed number as an improper fraction. · 1 = · 3 5 3 5 1 2 5 = · Simplify. 5 3 1 2 Multiply numerators. Multiply denominators. = 3

Multiply. Write the answer in simplest form. 1 1 4 · 2 5 7 1 1 21 15 4 · 2 = · Write the mixed numbers as improper fractions. 5 7 5 7 3 3 21 15 · = Simplify. 5 7 1 1 9 Multiply numerators. Multiply denominators. or 9 = 1

Multiply. Write the answer in simplest form. 2 2 6 · 4 3 5 2 2 20 22 Write the mixed numbers as improper fractions. 6 · 4 = · 3 5 3 5 4 20 22 = · Simplify. 3 5 1 3 = 88 or 29 1 Multiply numerators. Multiply denominators.

Multiply. Write the answer in simplest form. 3 1 · 2 5 3 3 1 3 7 Write the mixed number as an improper fraction. · 2 = · 3 5 3 5 1 3 7 = · Simplify. 5 3 1 7 2 Multiply numerators. Multiply denominators. = or 1 5 5

Multiply. Write the answer in simplest form. 3 1 3 · 1 6 3 3 1 21 4 3 · 1 = · Write the mixed numbers as improper fractions. 6 3 6 3 7 2 21 4 · = Simplify. 6 3 3 1 = 14 3 or 4 2 Multiply numerators. Multiply denominators.

Multiply. Write the answer in simplest form. 1 1 3 · 1 6 3 1 1 19 4 Write the mixed numbers as improper fractions. 3 · 1 = · 6 3 6 3 2 19 4 = · Simplify. 6 3 3 9 = 38 or 4 2 Multiply numerators. Multiply denominators.

Multiply. Write each answer in simplest terms. Homework Multiply. Write each answer in simplest terms. 1 5 1. · 8 6 5 1 2 2. 5 · 6 1 2 3. 5 · 1 10 3 3 2 4. · 4 16 3 1 5. A recipe for clam chowder calls for 2 pounds of 4 butter. If you prepare one-half of the recipe, how much butter do you need?