MULTIPLY FRACTIONS, 
DIVIDE FRACTIONS 
PROBLEMS
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1.  Multplying by a whole number
       
       
      		|   1.   a)  4 ×  | 
           2 9 | 
            =  | 
		   8 9 | 
             | 
      		b)  3 ×  | 
      		 3  10 | 
           =  | 
		   9  10 | 
			  | 
			
      		c)  5 ×  | 
            3  16 | 
 			 =  | 
			15 16 | 
        
        
       
       
      		|   1.   d)  5 ×  | 
           3 8 | 
           =  | 
		  15  8 | 
            = 1 | 
		   7 8 | 
             | 
           
      		e)  7 ×  | 
      		2 3 | 
           = 4 | 
		  2 3 | 
             | 
      		f)  9 ×  | 
           4 5 | 
            = 7 | 
		   1 5 | 
        
        
2.  Do not change the mixed number to an improper fraction!
       
       
      		|   2.   a)  3 × 2 | 
           1 4 | 
            = 6 | 
		   3 4 | 
             | 
           
               b)  2 × 6 | 
      		2 5 | 
           = 12 | 
		  4 5 | 
               | 
      		c)  5 × 3 | 
            2  11 | 
            = 15 | 
		   10 11 | 
        
        
        
           
       
      		|   2.   d)  8 × 7 | 
           1 8 | 
           = 57 | 
		    | 
		    | 
      		e)  2 × 3 | 
      		3 5 | 
        = 7 | 
	   1 5 | 
             | 
           
      		f)  9 × 4 | 
           2 7 | 
           = 38 | 
		  4 7 | 
        
        
       
       
      		|   2.   g)  7 × 6 | 
           2 3 | 
  		 = 46 | 
 		2 3 | 
             | 
                     
      		h)  5 × 8 | 
      		 9  10 | 
            = 44½ | 
		   | 
			  | 
			
      		i)  6 × 7 | 
           3 8 | 
            = 44¼ | 
        
        
3.  Mental calculation.
3.  
a)  4 × $3.25 = $13.00
        
b)  6 × $5.25 = $31.50
3.  
c)  7 × $9.50 = $66.50
        
d)  3 × $4.80 = $14.40
4.  Cancel before multiplying, if possible.
       
       
      		|   4.   a)   | 
           3 5 | 
            ×  | 
           7 8 | 
            =  | 
		   21 40 | 
             | 
           
      		b)   | 
      		5 8 | 
            ×  | 
           7 9 | 
          =  | 
			35 72 | 
             | 
      		c)   | 
           3 8 | 
            ×  | 
           4 9 | 
            =  | 
		   1 6 | 
        
        
       
       
      		|   4.   d)   | 
           2 3 | 
            ×  | 
           3 4 | 
       =  | 
	  1 2 | 
             | 
      		e)   | 
      		 2  15 | 
            ×  | 
           9 8 | 
           =  | 
		   3  20 | 
             | 
      		f)   | 
            6  35 | 
            ×  | 
           20 21 | 
            =  | 
			 8  49 | 
        
        
       
       
      		|   4.   g)   | 
            7  12 | 
            ×  | 
            8  21 | 
          =  | 
		 2 9 | 
             | 
           
           
           
           
      		h)   | 
      		 9  10 | 
            ×  | 
           25 33 | 
            =  | 
		   15 22 | 
             | 
      		i)   | 
           4 9 | 
            ×  | 
           9 4 | 
           =  | 
		  1 | 
        
        
       
       
      		|   1.   j)  12 ×  | 
            5  18 | 
           = 3 | 
			1 3 | 
             | 
      		k)  12 ×  | 
      		7 9 | 
    		 = 9 | 
			1 3 | 
              | 
           
      		l)  42 ×  | 
           3 7 | 
 		 = 18 | 
        
       
       
      		|   4.   m)   | 
           1 3 | 
            ×  | 
           2 3 | 
            ×  | 
           5 7 | 
  		 =  | 
  		10 63 | 
             | 
      		n)   | 
      		2 3 | 
            ×  | 
           3 5 | 
            ×  | 
           1 4 | 
       =  | 
	   1  10 | 
           | 
      		o)   | 
            6  20 | 
            ×  | 
           4 3 | 
            ×  | 
           5 2 | 
  			 =  | 
 			 1 | 
        
        
5.  Multiply.
      
       
      		|   5.   a)  5 | 
      		1 4 | 
      		 × 2 | 
           2 3 | 
    	 = 14 | 
	  | 
	  | 
	
       		b)  2 | 
      		2 3 | 
      		 × 4 | 
           1 2 | 
         = 12 | 
		  | 
	  | 
       		c)  6 | 
      		3 4 | 
      		 × 1 | 
           2 5 | 
            = 9 | 
		    9  20 | 
        
        
      
       
      		|   5.   d)  1 | 
      		5 7 | 
      		 × 1 | 
           5 9 | 
            = 2 | 
		   2 3 | 
             | 
       		e)  1½ × 1½ × 1½ | 
       		 = 3 | 
			3 8 | 
        
        
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