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Multiplying Mixed Numbers What is a mixed number? A mixed number has two parts. A whole number and a fraction. What is an Improper Fraction? An Improper Fraction is a fraction which Numerator is greater than its Denominator. How do I change a Mixed To get the Numerator: Start with the Denominator. Number to an Improper Multiply the denominator by the whole number then add Fraction? the numerator. The Denominator stays the same. 14 5 x 1 +4 = 9 5 5 Practice 1: Change to an 4 7/10 Improper Fraction. Answer: 10 x 4 + 7 = 47/10 Practice 2: 5 3/7 How do I change an Improper fraction to a Mixed Number? Answer: 7 x 5 + 3 = 38/7 Divide the Denominator into the Numerator to get the whole number and the remainder is the numerator and keep the same denominator. 48 5 Practice 3: Change each improper fraction to a mixed number. Practice 4: How do I multiply mixed numbers? ALERT: Example: 1 ¼ x 2/3 48 5 = 9 4/5 12/5 Answer: 12 5 = 2 2/5 14/8 Answer: 14 8 = 1 6/14 Simplify: 1 3/7 Step 1: Change the mixed numbers to improper fractions. 2: Cross reduce using the GCF of the diagonal numbers. 3: Multiply the Numerators. 4: Multiply the Denominators. 5: Write the answer as a mixed number. NEVER MULTIPLY THE WHOLE NUMBERS AND THE FRACTIONS! Always change it to an improper fraction. 1 ¼ x 2/3 Step 1: 1 ¼ = 5/4 x 2/3 2: 5 2 1 24 3 Practice 5: Multiply the 3: 5 x 1 = 5 4: 2 x 3 = 6 5: Answer: 5/6 1 ½ x 2 2/5 Mixed Number Practice 6: Answer: 3/2 x 12/5 = 18/5 or 3 3/5 3/5 x 2 2/9 Answer: 3/5 x 20/9 = 1 1/3 Multiplying Mixed Numbers What is a mixed number? What is an Improper Fraction? How do I change a Mixed Number to an Improper Fraction? How do I change an Improper fraction to a Mixed Number? A mixed number has two parts. A ______________number and a _________________. An _______________ Fraction is a fraction whose _____________________is greater than its _________________________________. To get the _____________ 1. _____________ the denominator by the _____________ number then ________ the numerator. The Denominator stays the ________________. 14 5 1. __________________ the ______________ into the _____________________to get the _______________ number. 2. The ______________ is the numerator. 3. Keep the ______________ denominator. 48 5 How do I multiply mixed numbers? Step 1: Change the ____________ numbers to improper fractions. 2: _________reduce using the _____________ of the diagonal numbers. 3: Multiply the ____________________. 4: Multiply the ___________________. 5: Write the answer as a ____________________. ALERT: NEVER MULTIPLY THE WHOLE NUMBERS AND THE FRACTIONS! Always change it to an _________________________ _______________________________. Example: 1 ¼ x 2/3 Practice 5: Multiply the Mixed Number 1 ½ x 2 2/5 Practice 6: 3/5 x 2 2/9