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How to add and subtract fractions | Year 5 Mathematics PDF Download

Common Denominators

  • Adding and subtracting fractions is simple when the numbers on the bottom are the same.
  • These numbers are called the denominators.
    How to add and subtract fractions | Year 5 Mathematics

Question for How to add and subtract fractions
Try yourself:
Which of the following fractions have common denominators?
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Equivalent Fractions

  • Sometimes fractions have different denominators, requiring us to find equivalent fractions to add or subtract them.
  • For example, How to add and subtract fractions | Year 5 Mathematics
  • A common multiple of 2 and 3 is 6, so we aim to get both fractions to have a denominator of 6.
  • To do this, we find equivalent fractions. For 1/2, we multiply both numerator and denominator by 3: This gives us 3/6.
  • For 1/3, we multiply both numerator and denominator by 2: This results in 2/6.
  • Now that the denominators are the same (6), we can add the fractions together: How to add and subtract fractions | Year 5 Mathematics
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FAQs on How to add and subtract fractions - Year 5 Mathematics

1. What is a common denominator when adding or subtracting fractions?
Ans. A common denominator is a number that can be divided evenly by all the denominators of the fractions being added or subtracted. It allows for easy addition or subtraction of fractions.
2. How do you find a common denominator for fractions with different denominators?
Ans. To find a common denominator for fractions with different denominators, you can either find the least common multiple (LCM) of the denominators or multiply the denominators together.
3. Why is it important to have a common denominator when adding or subtracting fractions?
Ans. Having a common denominator when adding or subtracting fractions is important because it allows for the fractions to be combined or compared easily. It ensures that the fractions are in a form that can be added or subtracted accurately.
4. Can you add or subtract fractions without a common denominator?
Ans. Yes, you can add or subtract fractions without a common denominator by first finding a common denominator. Once the fractions have the same denominator, you can proceed with the addition or subtraction.
5. What are equivalent fractions and how are they related to common denominators?
Ans. Equivalent fractions are fractions that represent the same value but are written in different forms. Common denominators are used to find equivalent fractions by ensuring that the fractions have the same denominator while maintaining their original values.
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