5-5 Multiplying Mixed Numbers Learn to multiply mixed numbers.

5-5 Multiplying Mixed Numbers To write a mixed number as an improper fraction, start with the whole number, multiply by the denominator, and add the numerator. Use the same denominator. Remember! 1 5 __ _________ 6 5 __ = =

5-5 Multiplying Mixed Numbers Additional Example 1A: Multiplying Fractions and Mixed Numbers Multiply. Write each answer in simplest form __ 1 3 Write 1 as an improper fraction. 1 = 4 3 __ _____ Multiply numerators. Multiply denominators __ 1 3 Write the answer in simplest form.

5-5 Multiplying Mixed Numbers Additional Example 1B: Multiplying Fractions and Mixed Numbers Multiply. Write each answer in simplest form __ 4 5 Write 3 as an improper fraction. 3 = 7 2 __ _____ Multiply numerators. Multiply denominators __ 14 5 __ Write the answer in simplest form. You can write the answer as a mixed number. 4 5 __ = 2

5-5 Multiplying Mixed Numbers Additional Example 1C: Multiplying Fractions and Mixed Numbers Multiply. Write each answer in simplest form __ 3 8 Write 2 as an improper fraction. 2 = 19 8 __ __ 19 8 __ ______ Use the GCF to simplify before multiplying __ You can write the answer as a mixed number __ = __ 19 8 __

5-5 Multiplying Mixed Numbers Check It Out: Example 1A Multiply. Write each answer in simplest form __ 1 2 Write 1 as an improper fraction. 1 = 3 2 __ _____ Multiply numerators. Multiply denominators __ 1 6 Write the answer in simplest form.

5-5 Multiplying Mixed Numbers Check It Out: Example 1B Multiply. Write each answer in simplest form __ 5 6 Write 2 as an improper fraction. 2 = 8 3 __ _____ Multiply numerators. Multiply denominators __ 20 9 __ Write the answer in simplest form. You can write the answer as a mixed number. 2 9 __ = 2

5-5 Multiplying Mixed Numbers Check It Out: Example 1C Multiply. Write each answer in simplest form __ 2 7 Write 3 as an improper fraction. 3 = 23 7 __ __ 23 7 __ ______ Use the GCF to simplify before multiplying __ You can write the answer as a mixed number __ = __ 23 7 __

5-5 Multiplying Mixed Numbers You can estimate the product to see whether your answer is reasonable. Remember!

5-5 Multiplying Mixed Numbers Additional Example 2A: Multiplying Mixed Numbers Find each product. Write the answer in simplest form __ __ ______ Multiply numerators. Multiply denominators __ __ You can write the improper fraction as a mixed number. Write the mixed numbers as improper fractions. 1 = 2 = 5 3 __ 15 7 __ Simplify. 4 7 __ 3

5-5 Multiplying Mixed Numbers Additional Example 2B: Multiplying Mixed Numbers Find each product. Write the answer in simplest form __ __ 12 5 __ ______ Use the GCF to simply before multiplying __ Multiply numerators. Multiply denominators. Write the mixed numbers as improper fractions. 1 = 2 = 11 8 __ 12 5 __ Simplify __ __ 12 5 __ 3 2

5-5 Multiplying Mixed Numbers Check It Out: Example 2A Find each product. Write the answer in simplest form __ __ ______ Multiply numerators. Multiply denominators __ __ You can write the improper fraction as a mixed number. Write the mixed numbers as improper fractions. 1 = 2 = 7 4 __ 13 6 __

5-5 Multiplying Mixed Numbers Check It Out: Example 2B Find each product. Write the answer in simplest form __ __ 18 5 __ ______ Use the GCF to simply before multiplying __ Multiply numerators. Multiply denominators. Write the mixed numbers as improper fractions. 1 =. 3 = 11 9 __ 18 5 __ Simplify. 2 5 __ __ 18 5 __ 2 1