Year 6 Exam > Year 6 Notes > Year 6 Mathematics > Add and subtract fractions
Add and subtract fractions | Year 6 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.
Question for Add and subtract fractionsTry yourself: What is the common denominator required to add 1/4 and 1/3?View Solution
Equivalent Fractions
- Sometimes fractions have different denominators, requiring us to find equivalent fractions to add or subtract them.
- For example,
- 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:
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FAQs on Add and subtract fractions - Year 6 Mathematics
| 1. How do you add fractions with different denominators? |  |
Ans. To add fractions with different denominators, you first need to find a common denominator. You can do this by finding the least common multiple (LCM) of the denominators. Once you have a common denominator, you can add the fractions by adding the numerators and keeping the denominator the same.
| 2. How do you subtract fractions with different denominators? | |
Ans. To subtract fractions with different denominators, you need to find a common denominator just like when adding fractions. Once you have a common denominator, you can subtract the fractions by subtracting the numerators and keeping the denominator the same.
| 3. What is the simplest form of a fraction? | |
Ans. The simplest form of a fraction is when the numerator and denominator have no common factors other than 1. This means that the fraction cannot be further reduced or simplified.
| 4. How can you check if your addition or subtraction of fractions is correct? | |
Ans. You can check if your addition or subtraction of fractions is correct by converting the fractions to a common denominator, performing the operation, and then simplifying the result to its simplest form. You can also cross-check your answer by reversing the operation (subtraction for addition and vice versa) to ensure that you get back to the original fractions.
| 5. Can fractions with different denominators be added or subtracted without finding a common denominator? | |
Ans. No, fractions with different denominators cannot be added or subtracted without finding a common denominator. Without a common denominator, you cannot perform the arithmetic operation accurately.
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Nov 22, 2024 Last updated |
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