New Rudiments of Arithmetic Combining Mental And Slate Exercises for Intermedi

Cover New Rudiments of Arithmetic Combining Mental And Slate Exercises for Intermedi
New Rudiments of Arithmetic Combining Mental And Slate Exercises for Intermedi
James B James Bates Thomson
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Divide JJ by ft DIVISION OF FRACTIONS. 121 To Divide a Fraction by a Fraction, when they have Different Denominators.
i. At -J of a dime apiece, how many pears can be pur- chased for j of a dime ?
Analysis. — \ dime will buy as many opebation.
pears as \ dime is contained times in f 1X4 4 dime. Reducing \ and f to a common 3X5 ' denominator, they become jV and -, 2 2 -. , x ~ Their numerators are now like numbers, = t 9; ? > and one may be divided by the other. 7 4 Thus, 9-5-4=2! pears, the ans
...wer re- T2~T2 — 9~4 > quired. (P. 120, Eem. ) 9-^4 = 2 iP- By inspecting the operation of redu- Or, |xf=|, or 2^. Cing the fractions to a common denomi- nator, it will be seen that the numerator of each is multiplied into the denominator of the other. This produces the same com- bination of terms and the same results as inverting the divisor and multiplying the terms of the dividend by it. Thus, |-* i i= £ x $=$, or z\ pears, the same as before.
Remark. — In dividing, no use is made of the common denomi- nator ; hence, in practice, multiplying the denominators together may be omitted.


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