Calculate the addition, subtraction, multiplication, or division of fractions with equal or different denominators. Simplified result.
Fractions represent a part of a whole. They consist of two parts: the numerator (top part) and the denominator (bottom part). For example, in the fraction 3/4, 3 is the numerator and 4 is the denominator.
This is the simplest case. If the fractions have the same denominator, simply add the numerators and keep the denominator.
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To add fractions with different denominators, first find a common denominator. This is done by calculating the least common multiple (LCM) of both denominators. Then add the fractions as in the previous case.
An alternative method is to multiply the denominators to find a common denominator, and then cross-multiply the numerators with the corresponding denominators.
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Subtracting fractions is similar to adding them. If the denominators are the same, subtract the numerators and keep the denominator. If they are different, first find a common denominator before subtracting.
To multiply fractions, multiply the numerators together and the denominators together. The result is the product fraction.
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To divide fractions, multiply the first fraction by the reciprocal of the second. The reciprocal is obtained by inverting the numerator and the denominator of the second fraction.
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