FIG. 19 



See that % of ft = tf 



%offt=%. (Fig. 19, a.) 

 Seethat^of ^ = ^4- (Fig. 19, b.) 



To divide a fraction by a whole number (1) 

 divide the numerator by the integer ; as, #-=-2=:% ; 

 or flgj Multiply the denominator by the integer; 

 as, %-5-2 = %4. We use the first method when the 

 numerator is' divisible by the integer, but either 

 method may be used with any fraction ; for ex- 



of #=tt 4 = 



= *, which 



7 



ample. #H-2 = 

 reduced equals 



It is simple in both cases to look upon the 

 problem as finding a fractional part of a frac- 

 tion; as, 



Division of a Mixed Number by a Whole 

 Number. (1) A housekeeper has a piece of 

 tapestry 6% feet long for two draperies. How 

 long can she make them? 



%of 6% ft. = 3% ft. 

 6% ft. -7-2 = 31,6 ft. 



(2) Jane divides a Christmas ribbon 8% 

 yards long into four equal pieces. How long 

 is each? (See Fig. 20.) 



FIG. 20 

 K of 8% yd. = 2% yd. 8% -i-4 = 2% 



Make other diagrams showing methods of 

 solving similar problems. 

 144 



(3) 



FRACTIONS 



H-5=n. 



%-H6 = 2%. (Fig. 21.) 



_ 10 



FIG. 21 



From the above problems the following rule 

 may be deduced: 



To divide a mixed number by an integer, when 

 the integer of the mixed number is divisible by 

 the divisor, divide it, and then divide the frac- 

 tional part of the mixed number by the divisor, 

 and combine the two answers. 



5| 171A 



(1) 17%-j- 5 = n 



(2) 15%-5-7 = 2= 



(3) 825%-=-45 = 



8%X3_ _ 13 , 

 16X3~ 



In solving these four problems the following 

 rule is applied: 



Divide as in whole numbers, and reduce the 

 complex fraction at the end. 



A third method is shown in the following 

 rule: 



Reduce the mixed number to a fraction, and 

 divide; as, l%^-3=%-=-3=r% ; 7%-M8 = Vig of % 



Solve the following: 



8. 12%qt.^-19 = n 



11. A family uses 5% pounds coffee in nine 

 weeks. Find average used per week. 



12. Find length of a rectangular floor 18 feet 

 wide, whose area is 230% square feet. 



13. The following are the heights of 4 boys. 

 Find their average height : 4V feet, 4% feet. 5% 

 feet, 5i feet. 



