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 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 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 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 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 S.O.A.R. K eep the first fraction the s ame! (However, IF you have a whole or a mixed number, change it to an improper fraction.) Use the o pposite of the ÷ sign, which is a x sign! A nd use the r eciprocal of the second fraction.
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 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