Course Dividing Fractions and Mixed Numbers 5-9 Dividing Fractions and Mixed Numbers Course 1 Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Warm Up Warm Up
Course Dividing Fractions and Mixed Numbers Warm Up Multiply. Write each answer in simplest form or __ __ or __ _
Course Dividing Fractions and Mixed Numbers Problem of the Day Rachel is building a doghouse. She needs to cut a 12-foot-long board into lengths of 65 in. How many lengths can she cut, and will there be any wood left? If so, how much? 2 cuts; yes, 14 in.
Course Dividing Fractions and Mixed Numbers Learn to divide fractions and mixed numbers.
Course Dividing Fractions and Mixed Numbers Vocabulary reciprocal
Course Dividing Fractions and Mixed Numbers Reciprocals can help you divide by fractions. Two numbers are reciprocals if their product is 1.
Course Dividing Fractions and Mixed Numbers Additional Example 1A: Finding Reciprocals Find the reciprocal. 1 9 __ 1 9 = 1 Think: of what number is 1? 1 9 __ = 1 of is __ 9 1 The reciprocal of is __
Course Dividing Fractions and Mixed Numbers Additional Example 1B: Finding Reciprocals Find the reciprocal. 2 3 __ 2 3 = 1 Think: of what number is 1? 2 3 __ = = __ of is __ 3 2 The reciprocal of is. 2 3 __ 3 2
Course Dividing Fractions and Mixed Numbers 1 5 __ 16 5 __ = 1 Write 3 as. 1 5 __ 5 16 __ 16 5 __ = = 1 80 __ of is __ 5 16 __ The reciprocal of is __ 5 16 __ 16 5 __ Additional Example 1C: Finding Reciprocals Find the reciprocal.
Course Dividing Fractions and Mixed Numbers Check It Out: Example 1A Find the reciprocal. 1 4 __ 1 4 = 1 Think: of what number is 1? 1 4 __ = 1 of is __ 4 1 The reciprocal of is __
Course Dividing Fractions and Mixed Numbers Check It Out: Example 1B Find the reciprocal. 4 5 __ 4 5 = 1 Think: of what number is 1? 4 5 __ = = 1 20 __ of is __ 5 4 The reciprocal of is. 4 5 __ 5 4
Course Dividing Fractions and Mixed Numbers 1 8 __ 33 8 __ = 1 Write 4 as. 1 8 __ 8 33 __ 33 8 __ = = 1264 ___ of is __ 8 33 __ The reciprocal of is __ 8 33 __ 33 8 __ Check It Out: Example 1C Find the reciprocal.
Course Dividing Fractions and Mixed Numbers Look at the relationship between the fractions and. If you switch the numerator and denominator of a fraction, you will find its reciprocal. Dividing by a number is the same as multiplying by its reciprocal. 3 4 __ ÷ 4 = 624 = __
Course Dividing Fractions and Mixed Numbers Additional Example 2A: Using Reciprocals to Divide Fractions and Mixed Numbers Divide. Write each answer in simplest form. ÷ __ 8 7 ÷ 7 = Rewrite as multiplication using the reciprocal of 7,. 1 7 __ Multiply by the reciprocal. 8 7 __ ____ = The answer is in simplest form. = 8 49 __
Course Dividing Fractions and Mixed Numbers Additional Example 2B: Using Reciprocals to Divide Fractions and Mixed Numbers ÷ 5 6 __ 5 6 ÷ = Rewrite as multiplication using the reciprocal of,. 3 2 __ Simplify before multiplying. 5 6 __ ____ = You can write the answer as a mixed number. = 5 4 __ Multiply. = __
Course Dividing Fractions and Mixed Numbers Additional Example 2C: Using Reciprocals to Divide Fractions and Mixed Numbers 2 ÷ __ Write the mixed numbers as improper fractions. 2 = and 1 = __ Rewrite as multiplication ______ = You can write the answer as a mixed number. = __ 1 12 __ Simplify before multiplying. = __ 2 ÷ 1 = ÷ 3 4 __ 1 12 __ 11 4 __ __ 11 4 __ 1 12 __ 11 4 __ __ Multiply. =
Course Dividing Fractions and Mixed Numbers Check It Out: Example 2A Divide. Write each answer in simplest form. ÷ __ 2 3 ÷ 3 = Rewrite as multiplication using the reciprocal of 3,. 1 3 __ Multiply by the reciprocal. 2 3 __ ____ = The answer is in simplest form. = 2 9 __
Course Dividing Fractions and Mixed Numbers Check It Out: Example 2B ÷ 7 10 __ 7 10 __ ÷ = Rewrite as multiplication using the reciprocal of,. 5 1 __ Simplify before multiplying __ ____ = You can write the answer as a mixed number. = 7 2 __ Multiply. = __
Course Dividing Fractions and Mixed Numbers Check It Out: Example 2C 3 ÷ __ Write the mixed numbers as improper fractions. 3 = and 1 = __ Rewrite as multiplication ______ = You can write the answer as a mixed number. = __ Simplify before multiplying. = __ 3 ÷ 1 = ÷ 2 3 __ __ 10 9 __ 11 3 __ __ 9 10 __ Multiply. =
Course Dividing Fractions and Mixed Numbers Lesson Quiz Find the reciprocal Divide. Write each answer in simplest form. 3. ÷ ÷ 2 5. Rhonda put 2 pounds of pecans into a -pound bag. How many bags did Rhonda fill? 1 11 __ 8 13 __ __ 13 8 __ 1 35 __ , or 1 11 bags