FRACTIONS 



part grows smaller, and the number of parts 

 considered or used (shown by the numerator) 

 must grow greater when we desire to keep the 

 value of the fraction fixed. Thus % yard shows 

 that % yard is the unit of measure in use, 

 and that two such units are under consider- 

 ation in the form % yard. Let the unit of 

 measure be changed to % yard, and four such 

 units must be used to keep the value % yard. 

 Let the unit of measure be changed again to 

 ^2 yard, and eight such units must be used 

 to keep the value % yard. % yd.=% yd.= 



942 yd. 



These facts may be summarized thus : Multi- 

 ply both terms of a fraction by the same number 

 and the value of the fraction remains the same, as, 



FRACTIONS 



(2) Add SV6 and $%. 



(3) A child gains % Ib. in weight one week 

 and % Ib. the next week. What has he gained 

 in all? 



% lb.+% lb.=% lb.=% Ib. 



(4) On your ruler find the sum of % in., % 

 in. and % in. 



% ln.+% In. + v4 ln. = i% In. 



(5) Add the following fractions; do not re- 

 duce the answers: 



(a) 

 (b) 

 (c) 



(6) Add the following fractions; reduce the 



a %4, 4 %0, %6, 2 %9, 1 %S, 4 %05, 10 %0, 15 %00, 

 75 %890, 26 y657, 37 %181, 3111 /4554. To find the 



common divisors of numerator and denomina- 

 tor, in difficult cases, refer to DIVISIBILITY OP 

 NUMBERS ; then study article in this connection. 



Reduce the following fractions to higher 

 terms: %,%,%, %, % 



Reduce the following fractions to 36ths: %, 



%, %, 94, %, % 

 Reduce the following fractions to 42nds: }, 



%, %, V7, M4, %, %, %, %4, %, %1. 



Addition. (1) James has a pound of candy; 

 he gives Alice % of it; his mother }4 of it, 

 and eats ^4 of it himself, (a) What part of a 

 Ib. has he given away? (b) What part of a Ib. 

 is gone? 



% of money + % of money = % of money. 

 (b) What part did Alice give? 

 Alice gave *4 % or 1/4. 



% (See Fig. 8.) 



(8) Add 



=%. (See Fig. 9.) 



(a) 

 (b) 



. + %lb.=%lb.=%lb. 

 b. + % lb. + & lb.=% Ib. ; or, 



(9) Add $% and $M . 



2 dimes +1 dime = 



(10) Add % and %. 



%+%=%+%=%. 



