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You can find a common denominator without factoring but it will not be the least such number. That means that you will end up working with numbers that are far larger than they need be.
For example,
5/12 + 7/18
Using LCD = 36: 15/36 + 14/36 = 29/36
Without LCD : 90/216 + 84/216 = 174/216 which can then be simplified to 29/36.
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Continue Learning about Math & Arithmetic
How do you subtract fractions when denominator is different?
By finding the lowest common denominator of the fractions.
How can factoring both the numerator and the denominator of a fraction help to write an equivalent fraction?
If you divide a fraction by any common factor of the numerator and denominator you will get an equivalent fraction.
What is the rule of adding and subtracting different denominator?
Find the lowest common denominator by finding the lowest common multiple of the denominators
How do you add a dissimilar fraction?
By finding their lowest common denominator
How do you subtract fractions with unequal denominators?
by finding the common denominator of the fractions
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