Multiplying Fractions and 3 10 Mixed Numbers Warm

Multiplying Fractions and 3 -10 Mixed Numbers Warm Up Problem of the Day Lesson Presentation Course 22

Multiplying Fractions and 3 -10 Mixed Numbers Warm Up 1 What is 2 of each of the following? 1. 24 12 3. 30 15 Course 2 2. 16 4. 28 8 14

Multiplying Fractions and 3 -10 Mixed Numbers Learn to multiply fractions and mixed numbers. Course 2

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. Course 2

Multiplying Fractions and 3 -10 Mixed Numbers Additional Example 2 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. Remember! You can write any integer as a fraction with a denominator of 1. Course 2

Multiplying Fractions and 3 -10 Mixed Numbers Additional Example 2 B: Multiplying Fractions Multiply. Write the answer in simplest form. 1 · 3 3 8 1 · 3 = 1 · 3 3 8 13· 8 = 1 8 Course 2 1 Simplify. Multiply numerators. Multiply denominators.

Multiplying Fractions and 3 -10 Mixed Numbers Additional Example 2 C: Multiplying Fractions Multiply. Write the answer in simplest form. 3 · – 1 5 4 3 · – 1 = – 3 · 1 5· 4 4 5 3 =– 20 Course 2 The signs are different, so the answer will be negative. Multiply numerators. Multiply denominators.

Multiplying Fractions and 3 -10 Mixed Numbers Check It Out: Example 2 A Multiply. Write the answer in simplest form. – 16 · 1 4 1 = – 16 · 1 Write – 16 as a fraction. – 16 · 4 1 4 4 16 · 1 Simplify. =– 1 · 41 = – 4 Multiply numerators. 1 Multiply denominators. Course 2

Multiplying Fractions and 3 -10 Mixed Numbers Check It Out: Example 2 B Multiply. Write the answer in simplest form. 1 · 6 6 9 1 · 6 = 1 · 6 6 9 16· 9 = 1 9 Course 2 1 Simplify. Multiply numerators. Multiply denominators.

Multiplying Fractions and 3 -10 Mixed Numbers Check It Out: Example 2 C Multiply. Write the answer in simplest form. – 3 · 1 7 8 · 1= – 3 · 1 7 8 7· 8 – 3 3 =– 56 Course 2 The signs are different, so the answer will be negative. Multiply numerators. Multiply denominators.

Multiplying Fractions and 3 -10 Mixed Numbers Additional Example 3 A: 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 Course 2 Write the mixed number as an improper fraction. 1 Simplify. Multiply numerators. Multiply denominators.

Multiplying Fractions and 3 -10 Mixed Numbers Lesson Quiz: Part I Multiply. Write each answer in simplest terms. 1. 1 · 5 8 6 5 48 2. 5 5 · 1 6 2 35 or 2 11 12 12 3. 5 1 · 1 2 10 3 17 or 8 1 2 2 4. 3 · 4 2 16 3 Course 2 7 8

Multiplying Fractions and 3 -11 Dividing Fractions and Mixed Numbers 3 -10 Mixed Numbers Learn to divide fractions and mixed numbers. Course 22 Course

Multiplying Fractions and 3 -11 Dividing Fractions and Here Mixed Numbers 3 -10 Insert. Numbers Lesson Title Mixed Vocabulary reciprocal Course 22 Course

Multiplying Fractions and 3 -11 Dividing Fractions and Mixed Numbers 3 -10 Mixed Numbers When you divide 8 by 4 you find how many 4’s there are in 8. Similarly, when you divide 1 1 2 by 3 , you find how many 3 ’s there are in 2. There are six 1’s in 2. 3 Course 22 Course

Multiplying Fractions and 3 -11 Dividing Fractions and Mixed Numbers 3 -10 Mixed Numbers Reciprocals can help you divide by fractions. Two numbers are reciprocals if their product is 1. The reciprocal of 1 is 3 because 3 1 · 3 = 3 = 1. 3 1 3 3 To divide by a fraction, find its reciprocal and then multiply. 2 ÷ 1 = 2 · 3 = 6 3 Course 22 Course

Multiplying Fractions and 3 -11 Dividing Fractions and Mixed Numbers 3 -10 Mixed Numbers Reciprocals can help you divide by fractions. Two numbers are reciprocals if their product is 1. The reciprocal of 1 is 3 because 3 1 · 3 = 3 = 1. 3 1 3 3 To divide by a fraction, find its reciprocal and then multiply. 2 ÷ 1 = 2 · 3 = 6 3 Course 22 Course

Multiplying Fractions and 3 -11 Dividing Fractions and Mixed Numbers 3 -10 Mixed Numbers Additional Example 1: Dividing Fractions Divide. Write each answer in simplest form. A. B. Course 22 Course 2 3 ÷ 5 7 3 ÷ 2 = 3 5 · 7 5 7 2 · = 3 5 7 · 2 15 or 1 1 = 14 14 3 ÷ 12 8 3 ÷ 12 = 3 · 1 8 12 8 13 · 1 = 12 4 8 1 = 32 Multiply by the reciprocal of 2. 5 Multiply by the reciprocal of 12. Simplify.

Multiplying Fractions and 3 -11 Dividing Fractions and. Here Mixed Numbers 3 -10 Insert. Numbers Lesson Title Mixed Additional Example 2: Dividing Mixed Numbers Divide. Write each answer in simplest form. A. B. Course 22 Course 2 ÷ 11 3 4 5 2 ÷ 1 1 = 17 ÷ 5 3 3 4 4 = 17 · 4 3 5 = 68 or 4 8 15 15 3 ÷ 1 2 2 4 3 ÷ 2 1 = 3 ÷ 5 2 4 = 3 · 2 5 1 4 3 · 2 = 24 · 5 = 3 10 5 Write mixed numbers as improper fractions. Multiply by the reciprocal of 5. 4 Write 21 as an improper fraction. 2 Multiply by the reciprocal of 5. 2 Simplify.

Multiplying Fractions and 3 -11 Dividing Fractions and Here Mixed Numbers 3 -10 Insert. Numbers Lesson Title Mixed Lesson Quiz Divide. Write each answer in simplest form. 4 1. 8 ÷ 5 2. 5 ÷ 1 9 8 3. 3 ÷ 6 5 1 1 4. 2 ÷ 3 7 2 10 40 or 44 9 9 1 10 35 44 5. There are 5 1 yards of silk in a roll. If it takes 3 4 4 of a yard to make one designer scarf, how many scarves can be made from the roll? 7 Course 22 Course