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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.
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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:
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Apr 13, 2025
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