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Adding two mixed numbers | Year 5 Mathematics PDF Download

How to add mixed numbers

  • When adding mixed numbers, you can use a similar method to adding fractions, but this time you also need to add the whole numbers.
  • Remember, a mixed number is a combination of an integer (whole number) and a fraction, such asAdding two mixed numbers | Year 5 Mathematics.

Adding two mixed numbers | Year 5 Mathematics

Examples

Example: 1

What isAdding two mixed numbers | Year 5 Mathematics
Sol: Let's break this calculation down into steps. The method below allows you to partition the mixed numbers into fractions and whole numbers, so that you can add them separately.
Step 1: Partition the mixed numbers, so you are left with the whole numbers together and the fractions together.
1 + 2
and
Adding two mixed numbers | Year 5 Mathematics
You can quickly add the whole numbers together to make 3.
1 + 2 = 3
Step 2: Focus on the fractions now.
Adding two mixed numbers | Year 5 Mathematics
The fractions have different denominators, so you need to change one into its equivalent fraction before you add them.
You can’t simplify 2/9 any further, so you will have to change 1/3.
1/3 = 3/9
By multiplying the numerator and denominator by 3, you can find an equivalent fraction.
Step 3: Now that the denominators are the same, you can add the numerators together.
Adding two mixed numbers | Year 5 Mathematics
Step 4: Finally, add the answers from the whole numbers and fractions together.
Adding two mixed numbers | Year 5 Mathematics

Example: 2

Jeannie and Oliver ordered lots of pizzas. Jeannie ate Adding two mixed numbers | Year 5 Mathematics pizzas and Oliver ate Adding two mixed numbers | Year 5 Mathematics. How much pizza did they eat altogether?
Sol: Let's write that as a calculation.
Adding two mixed numbers | Year 5 Mathematics
Step 1: Partition the fractions and whole numbers to add them separately.
2 + 1 = 3
and
Adding two mixed numbers | Year 5 Mathematics
Step 2: Change one of the fractions so they both have the same denominator.
Adding two mixed numbers | Year 5 Mathematics
Step 3: Add the numerators together.
Adding two mixed numbers | Year 5 Mathematics
Step 4: Add the whole number answer and fraction answer together.
Adding two mixed numbers | Year 5 Mathematics
So Jeannie and Oliver ate Adding two mixed numbers | Year 5 Mathematicspizzas.

Checklist

Here’s a checklist to remind you of the steps while you work:

  • Partition and add whole numbers.
  • Check and change denominators.
  • Add the fractions.
  • Whole numbers answer + fractions answer = final answer!
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FAQs on Adding two mixed numbers - Year 5 Mathematics

1. How do you add two mixed numbers together?
Ans. To add two mixed numbers, you first convert them into improper fractions, find a common denominator, add the fractions together, and then convert the result back to a mixed number if necessary.
2. Can you add mixed numbers without converting them to improper fractions?
Ans. Yes, you can add mixed numbers without converting them to improper fractions by adding the whole numbers and fractions separately. Just make sure to carry over if the fraction sum is greater than one whole.
3. What is the importance of finding a common denominator when adding mixed numbers?
Ans. Finding a common denominator is important when adding mixed numbers to ensure that the fractions have the same denominator, making it easier to add them together accurately.
4. How can you simplify the sum of two mixed numbers?
Ans. To simplify the sum of two mixed numbers, you can reduce the fraction part to its simplest form by dividing the numerator and denominator by their greatest common factor.
5. Can you subtract mixed numbers using the same method as adding them?
Ans. Yes, you can subtract mixed numbers using a similar method as adding them, but remember to borrow from the whole number if necessary and simplify the result after subtraction.
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