438 Mr. R. Templeton on Fractions for the Value o/M. 

 But by equation C, 



? = 12 ?1 j 10_5 2_5^5 ^S^S^ 2 JL 8_25 16 

 8 9*80 9 ""3* 3 "3.5* 3. 8" 3. 8* 3. 5 "24*15 



Substituting these, we have 



9__25 16 81 

 8 ~ 24 ' 15 ' 80* 

 and therefore 



16V 23 /25\" /80V° 



MSJW0 



25 



24 



Now by equation C, 



16 _ 17 256 = 25 51 256 



15 "16* 255 "24* 50* 255' 



by substituting in equation B y , 



nx?=16, n=8, a? =2. 

 In equation D ul let rc<a? = 48, #=24, ra=2; then 



£ _ /51 \ 2 / 50 2 V 49 2 _ /51 Y /^ 5QQ Y 24Q1 

 >4 ~ ^50/ ' \50 2 -l/ ' 49 2 -l ~ \50/ * \2499/ ' 2400* 



But by equation D p 



51 _ zioiy 10200 



50 ~ U00/ ' 10201 ; 



and if %# = 80, ft = 20, a? =4 in equation B y , 



81_101 405 

 80 " 100 * 404* 



Effecting the substitution of these values, 



/lOA 216 /256Y 8 /i^V /2401Y / 25Q0 V° A0200Y° 3 

 V100/ ' V255/ " V404/ * V2400/ ' \2499/ ' U0201/ s 



In equation B //y let # = 51, w = 5, ^# = 255; then 



256_251 12800 

 255 ~ 250 ' 12801 ; 

 also equation D {) 



251 _ /501V 2 . 251000 

 250" \500/ 251001* 



