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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

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Example: 1

Ayaan has Multiply mixed numbers by an integer | Year 5 Mathematics pizzas. He needs three times this amount. How many pizzas does he need?
Our calculation is: Multiply mixed numbers by an integer | Year 5 Mathematics
To solve this calculation, we'll use the partition method. Drawing the fractions in a bar model can be helpful.

  • Step 1: Partition Multiply mixed numbers by an integer | Year 5 Mathematics into the whole number and the fraction. The whole number is 2 and the fraction is 6/8.
    Multiply mixed numbers by an integer | Year 5 Mathematics
  • Step 2: Multiply the whole number by 3.
    2 x 3 = 6
    Multiply mixed numbers by an integer | Year 5 Mathematics
  • Step 3: Now multiply the fraction 6/8 by 3.
    Multiply mixed numbers by an integer | Year 5 Mathematics
    Multiply mixed numbers by an integer | Year 5 Mathematics
  • Step 4: Add the totals from step 2 and step 3 together:
    Multiply mixed numbers by an integer | Year 5 Mathematics

The answer to the calculation is: Multiply mixed numbers by an integer | Year 5 Mathematics
Ayaan will need 9 pizzas.

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Multiply mixed numbers by an integer
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Example: 2

In this example, we will convert our mixed number into an improper fraction.
Multiply mixed numbers by an integer | Year 5 Mathematics

  • Step 1: Convert the mixed fraction into an improper fraction.
    Multiply mixed numbers by an integer | Year 5 Mathematics
  • Step 2: When multiplying fractions we multiply the numerator (top number) by the integer (whole number). The denominator (bottom number) stays the same.
    Multiply mixed numbers by an integer | Year 5 Mathematics
  • Step 3: Convert the improper fraction to a mixed number.
    Multiply mixed numbers by an integer | Year 5 Mathematics
  • The answer to our calculation: Multiply mixed numbers by an integer | Year 5 Mathematics
The document Multiply mixed numbers by an integer | Year 5 Mathematics is a part of the Year 5 Course Year 5 Mathematics.
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