68 aAUlTHMETIC. 



If part of the compound fraction be a whole or mixed 

 number, it must be reduced to a fraction by one of the for- 

 mer cases. 



When it can Ije done, divide any two terms of the frac» 

 tion by the same number, and use the quotients instead 

 thereof. 



EXAMPLES. 



X. Reduce y of ^ of ^ of ^ to a single fraction. 



2x3x4x8 ^223== jg the answer. 

 3x4x5x11 660 55 



Or, 



^„X.^i<^J<_i=- as before. 

 -2rx>i-X5Xii 



2. Reduce -^ of -f- of ■§• to a single fraction. Ans. -• 



3. Reduce -^- of f of |- of ^ to a single fraction. 



Ans. -/i-. 



4. Reduce -— gf ^r of ~ of xo to a single fraction. 



nS. J-^J^ 



CASE VI, 



To reduce fractions of different denominators to equivalent 

 fractions^ having a common dctiominator. 



Multiply each numerator into all the denominators, ex- 

 cept its own, for a new numerator •, and all the denomi- 

 nators continually for the common denominator. 



EXAMPLES, 



If the corapound fraction consist of more numbers than 2, the 

 two first may be reduced to one, and that one and the third will 

 be the same as a fraction of two numbers j and so on. 



* By placing the numbers multiplied properly under one another, 

 It will be seen, that the numerator and denominator of every frac- 

 tion 



