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Addition and subtraction of fractions. If denominators of fractions are the same, then in order to add the
fractions it is necessary to add their numerators; in order to subtract the fractions it is necessary to subtract their
numerators (in the same order). The received sum or difference will be a numerator of the result; a denominator
is saved the same. If denominators of fractions are different, before these operations it is necessary to reduce
fractions to a common denominator. At addition of mixed numbers a sum of integer parts and a sum of
fractional parts are found separately. At subtracting mixed numbers we recommend at first to reduce the mixed
numbers to improper fractions, then to subtract these fractions and after this to convert the result into a mixed
number again (in case of need). E x a m p l e. Multiplication of fractions. To multiply some number by a fraction means to multiply it by a numerator and to
divide a product by a denominator. Hence, we have the general rule for multiplication of fractions: to multiply
one fraction by another it is necessary to multiply separately their numerators and denominators and to divide
the first product by the second.
Example. Division of fractions. To divide some number by a fracti...
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This note was uploaded on 07/21/2013 for the course UPCAT 2014 taught by Professor Otis during the Spring '13 term at University of the Philippines Diliman.
- Spring '13