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

Course Multiplying Fractions and Mixed Numbers Warm Up What is of each of the following?

Course Multiplying Fractions and Mixed Numbers Problem of the Day At midnight Caitlin heard a forecaster say that it would be cloudy for exactly 72 hours and then would be sunny. Caitlin knew the forecaster was wrong. Explain. There are 24 hours in a day, so 72 hours equals 3 days. In 3 days it would be midnight again, not sunny.

Course Multiplying Fractions and Mixed Numbers Learn to multiply fractions and mixed numbers.

Course Multiplying Fractions and Mixed Numbers 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 To find the toll in 1939, you would need to multiply the toll in 2005 by a fraction. See Example 1 in your textbook.

Course Multiplying Fractions and Mixed Numbers In 2001, the car toll on the George Washington Bridge was $6.00. In 1995 the toll was Additional Example 1: Transportation Application 2 3 of that toll. What was the toll in 1995? · = = 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

Course Multiplying Fractions and Mixed Numbers In 2002, the fee to park in a parking garage was $4. In 2000 the fee was of the fee in What was the fee in 2000? Check It Out: Example · = = 12 4 = 3 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

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

Course Multiplying Fractions and Mixed Numbers Multiply. Write the answer in simplest form. Additional Example 2A: Multiplying Fractions –12 · = – 12 1 · 3 4 Write –12 as a fraction. = – 12 · 3 1 · Simplify. 9 1 = – = –9 Multiply numerators. Multiply denominators. You can write any integer as a fraction with a denominator of 1. Remember!

Course Multiplying Fractions and Mixed Numbers Multiply. Write the answer in simplest form. Additional Example 2B: Multiplying Fractions · 8 = Simplify. Multiply numerators. Multiply denominators = · · 3 8 ·

Course Multiplying Fractions and Mixed Numbers Multiply. Write the answer in simplest form. Additional Example 2C: Multiplying Fractions · 4 The signs are different, so the answer will be negative. Multiply numerators. Multiply denominators – · – = 3 5 · 1 4 · – = 3 20 –

Course Multiplying Fractions and Mixed Numbers Multiply. Write the answer in simplest form. Check It Out: Example 2A –16 · = – 16 1 · 1 4 Write –16 as a fraction. = – 16 · 1 1 · Simplify. 4 1 = – = –4 Multiply numerators. Multiply denominators.

Course Multiplying Fractions and Mixed Numbers Multiply. Write the answer in simplest form. Check It Out: Example 2B · 9 = Simplify. Multiply numerators. Multiply denominators = · · 6 9 ·

Course Multiplying Fractions and Mixed Numbers Multiply. Write the answer in simplest form. Check It Out: Example 2C · 8 The signs are different, so the answer will be negative. Multiply numerators. Multiply denominators – 1 8 · 3 7 – = 3 7 · 1 8 · – = 3 56 –

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

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

Course Multiplying Fractions and Mixed Numbers Multiply. Write the answer in simplest form. Additional Example 3C: Multiplying Mixed Numbers Multiply numerators. Multiply denominators. 2 3 · · = 20 3 · · 22 5 = 4 1 Write the mixed numbers as improper fractions. Simplify. 3 = 88 or

Course Multiplying Fractions and Mixed Numbers Multiply. Write the answer in simplest form. Check It Out: Example 3A Write the mixed number as an improper fraction. Simplify. Multiply numerators. Multiply denominators · = 3 5 · 7 3 = 3 5 · · = or

Course Multiplying Fractions and Mixed Numbers Multiply. Write the answer in simplest form. Check It Out: Example 3B Write the mixed numbers as improper fractions. Simplify · · 1 3 = 21 6 · 4 3 = 6 · Multiply numerators. Multiply denominators. 1 = 14 3 or 4 2 3

Course Multiplying Fractions and Mixed Numbers Multiply. Write the answer in simplest form. Multiply numerators. Multiply denominators. 1 6 · · = 19 6 · · 4 3 = 3 2 Write the mixed numbers as improper fractions. Simplify. 9 = 38 or Check It Out: Example 3C

Course Multiplying Fractions and Mixed Numbers Lesson Quiz: Part I Multiply. Write each answer in simplest terms · · · · or or

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