64 ARITHMETIC. 



tients ngain In the same manner ; and so on, till it appears 

 ihat there is, no number greater than i, which will divide 

 them, and the fraction will be in its lowest terms. 



Or, 



Divide both the terms of the fraction by their greatest 

 common measure, and the quotients will be the terms of 

 the fraction required. 



EXAHPLES. 



I. Reduce -^44- to its lowest terms. 



(^) (2) (3L (^) (^) 



T 4 4 7_^_ 3 O 1 a 6 -—3 ffipnnswrr 



TT5--~TT^— 6-^ —T^— T-^— T> ^^^ ^^SN\ crt 

 Or thus : 

 144)240(1 

 144 



96)144(1 



48)96(2 

 ^ 96 



Therefore 48 is the greatest common measure, and 

 4^)^4-5"--- i» ^^^ ^^^^ ^^ before. 



2. Reduce 



7. All prime numbers, except 2 and 5, have i, 3, 7, or 9, in 

 the place of units ; and all other numbers are composite. 



8. When numbers, with the sign of addition or subtraction be- 

 tween them, are to be divided by any number, each of the num- 

 bers must be divided. Thus tX~Jli?==2-f-44-5=:ii. 



2 



9. But if the numbers have the sign of multiplication between 



them, only one of them must be divided. Thus i-X- 



^ 2'X6 



— 3X4Xio _ iX4Xio _ 1x2X10 ^ 20—20. 

 "" 1x6 ■" 1x2 "" iXi "" I 



