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Adding-And-Subtracting Edexcel Higher
Exam code:1MA1
Adding & subtracting fractions
How do I add or subtract two fractions?
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Addition and subtraction are treated in exactly the same way when dealing with fractions
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Find the lowest common denominator
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Write each fraction as an equivalent fraction over this denominator
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Add (or subtract) the numerators and write this over a single denominator
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Do not add the denominators
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Simplify the fraction by cancelling common factors
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What do I do if any of the fractions are mixed numbers?
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Convert any mixed numbers into improper fractions
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Add or subtract the fractions as usual
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Remember to convert the answer back to a mixed number if required
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Worked Example
(a) Find .
Find the lowest common denominator of 3 and 5
15 is the smallest number that can be divided by both 3 and 5
The lowest common denominator is 15
Write both fractions as equivalent fractions with a common denominator of 15
Multiply the numerator and denominator of the first fraction by 5
Multiply the numerator and denominator of the second fraction by 3
Add the numerators and write over a single denominator
There are no common factors that will cancel
(b) Find <img
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