Not when you multiply or divide fractions, only when you add or subtract fractions. For example, 1/2 x 5/7 = 5/14.
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Find a common denominator (make sure you multiply BOTH the numerator and the denominator) then subtract the numerators and simplify if necessary.
When adding or subtracting fractions with different denominators, it is necessary to find a common denominator to solve the equation. A common denominator is like a common multiple, except its function is as the bottom number in a fraction.
fraction having a common denominator
You don't need a common denominator to divide fractions.
If a fraction's numerator and denominator have no factors other than one in common, the fraction cannot be simplified except if the denominator is 1, in which case the fraction can be simplified to the whole number of the numerator.
Find a common denominator (make sure you multiply BOTH the numerator and the denominator) then subtract the numerators and simplify if necessary.
When adding or subtracting fractions with different denominators, it is necessary to find a common denominator to solve the equation. A common denominator is like a common multiple, except its function is as the bottom number in a fraction.
fraction having a common denominator
When the numerator is less than the denominator then it is a common fraction but if the numerator is greater than the denominator then it is an improper fraction.
Dividing the numerator and denominator by a common factor is how you simplify a fraction.
5/7 is a fraction in its simplest form. To create an equivalent fraction it is necessary to multiply both the numerator and the denominator by the same integer. The opposite is also true. To reduce an equivalent fraction to its simplest form, it is necessary to divide both the numerator and the denominator by the same integer. 20/28 is an equivalent fraction of 5/7. It is possible to reduce 20/28 to 10/14 by dividing both the numerator and the denominator by 2, but that is not the simplest form. 10/14 can be reduced to 5/7 by dividing both the numerator and the denominator by 2 again. To ensure that an equivalent fraction is reduced to its simplest form, it is necessary to divide by the largest factor that is part of both of them. Another term for this the Greatest Common Factor, or GCF.
You don't need a common denominator to divide fractions.
If a fraction's numerator and denominator have no factors other than one in common, the fraction cannot be simplified except if the denominator is 1, in which case the fraction can be simplified to the whole number of the numerator.
That's one fraction. You need at least two to find something in common between them.
fraction having a common denominator
Multiply the numerator of the fraction by the same amount that you multiply the denominator of that fraction.
If the numerator and denominator of a fraction have a common factor (except for '1'), divide both numerator and denominator by their common factor. The fraction is in the simplest form when the numerator and denominator have no common factors.