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Operations with Fractions

Addition and Subtraction

When adding or subtracting fractions, if the denominators are same, simply add or subtract the numerators and write the denominator given.

If the denominators are different, convert each fraction so that its denominator is equal to the Lowest Common Multiple of the denominators of the given fractions. This means multiplying both the numerator and denominator by the same term. For example, say the LCM is 24 and one fraction in the problem is 5/6, then to convert that fraction to denominator of 24 you must multiply numerator and denominator by4, so the fraction becomes 20/24. You follow this same procedure for each term, add or subtract as indicated by the sign of each term and divide the total by the LCM

For example:

Multiplication of Fractions
is straightforward. You just multiply the numerators and multiply the denominators and then reduce the fraction to its lowest term, if possible

When we divide Fractions, we actually multiply the numerator by the reciprocal of the denominator. A reciprocal is a fraction turned upside down. For example, 3/4 divided by 5/6 = 3/4*6/5 = 18/20 = 9/10


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