Multiply mixed numbers by an integer | Year 5 Mathematics PDF Download

Methods to Multiply Mixed Numbers by an Integer

When you need to multiply a mixed number by an integer, there are two common methods that can be used.
Let's explore these methods through examples:

Examples

Example: 1

Ayaan has  pizzas. He needs three times this amount. How many pizzas does he need?
Our calculation is:
To solve this calculation, we'll use the partition method. Drawing the fractions in a bar model can be helpful.

• Step 1: Partition  into the whole number and the fraction. The whole number is 2 and the fraction is 6/8.
  
• Step 2: Multiply the whole number by 3.
  2 x 3 = 6
  
• Step 3: Now multiply the fraction 6/8 by 3.
  
  
• Step 4: Add the totals from step 2 and step 3 together:
  

The answer to the calculation is: 
Ayaan will need 9 pizzas.

Example: 2

In this example, we will convert our mixed number into an improper fraction.

• Step 1: Convert the mixed fraction into an improper fraction.
  
  
• Step 2: When multiplying fractions we multiply the numerator (top number) by the integer (whole number). The denominator (bottom number) stays the same.
  
• Step 3: Convert the improper fraction to a mixed number.
  
• The answer to our calculation: