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Two fractions having different denominators cannot be added or subtracted directly. They need to be converted to equivalent fractions having the same denominator to enable the addition or subtraction to take place. It is possible to use the product of the denominators of the original fractions as the common denominator but it simplifies the mathematics if the lowest common multiple of the two denominators is used.
EXAMPLE : Add 2/5 and 3/7. The lowest common denominator (also the LCM) of 5 and 7 is 35.
2/5 is equivalent to 2 x 7/5 x 7 = 14/35 : 3/7 is equivalent to 3 x 5/7 x 5 = 15/35
2/5 + 3/7 = 14/35 + 15/35 = 29/35
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How are adding and subtracting fractions similar?
Subtracting a fraction is the same as adding its negative.
What are the rules for adding fractions?
Ensure that the denominators are the same when adding or subtracting fractions.
How are adding fractions different?
When adding or subtracting fractions their denominators must be the same
Before adding or subtracting two fractions they are converted into like fractions Explain with examples why this is necessary?
Before adding or subtracting two fractions they are converted into like fractions. Explain with examples why this is necessary.
Before adding or subtracting Why are fractions turned into like fractions?
They have to have the same denominator.
