PROBLEM V. To reduce fractions to a common denominator. RULE Multiply each numerator into all the denominators sev◄ erally, except its own, for the new numerators; and all the denominators together for the common denominator. EXAMPLES. 1. Reduce and 응 aXc = ao to a common denominator, } the new numerators. bXc be the common denominator. a+b 4. Reduce and + to fractions, having a common 1. Reduce the fractions to a common denominator.* 2. Add * In the addition of mixed quantities, it is best to bring the fractional parts only to a common denominator, and to affix their sum to the sum of the integers, interposing the proper sign. 2. Add all the numerators together, and under the sum write the common denominator, and it will give the sum of the fractions required. EXAMPLES. x 1. Having—and given, to find their sum, 3 = adf cbf ebd adf+cbf+ebd Therefore ·+. +bdf bdf bdf required. the sum bdf 1. Reduce the fractions to a common denominator, as in addition.* 2. Subtract one numerator from the other, and under their difference write the common denominator, and it will give the difference of the fractions required. * The same rule_may be observed for mixed quantities in sub traction as in addition. |