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You are HERE >> Mathematics  > Grade 5

 
Divisibility Rules Worksheet: Reducing Fractions
By Lisa Williams
March 26, 2001

Write true or false.

(1) 3/12 = 1/4  True

(2) 4/10 = 1/2  False

(3) 2/3 = 4/6   True

Reduce these fractions to lowest terms by dividing both terms by the greatest common factor. Greatest common factor means the largest number that is a factor for both numerator and denominator. In 'Mississippiese', it means the biggest number that will go into both top and bottom of the fraction)
 

(4) 18/30
18 =  2 x  9  = 2 x 3x 3
30 =  2 x 15 = 2 x 3 x 5
Therefore 2 x 3 = greatest common factor
                  6 =  "              "            "
so 18/6 = 3
     30/6 = 5
when reduced to lowest terms =  3/5

(5) 8/12
  8 = 2 x 4 = 2 x 2 x 2 
12 = 2 x 6 = 2 x 2 x 3
Therefore 2 x 2 = greatest common factor
                  4 =  "             "            "
 8/4 = 2
12/4 = 3
reduced to lowest terms = 2/3

(6) 6/24
  6 =2 x 3
24 = 2 x 12 = 2 x 2 x 6 = 2 x 2 x 2 x 3
Therefore 2 x 3 = greatest common factor 
                  6 =    "           "             "
 6/6 = 1
24/6 = 4
reduced fraction = 1/4

(7) 5/100
 5 = 5
100 = 5 x 20
Therefore  5 = greatest common factor
so 5/5 = 1
100/5 = 20
reduced fraction = 1/20

(8) 3/9
3 = 3
9  = 3 x 3 
Therefore 3 = greatest common factor

so 3/3 = 1
9/3 = 3
reduced terms = 1/3

(9) 12/20
12 = 2 x 6  = 2 x 2 x 3
20 = 2 x 10 = 2 x  2 x 5
Therefore  2 x 2 = greatest common factor
                      4 =    "           "           "
so 12/4 = 3
20/4 = 5
lowest possible term = 3/5

(10) 12/14
12 = 2 x 6
14 = 2 x 7
Therefore  2 = greatest common factor
so  12/2 = 6
       14/2 = 7
reduced fraction = 6/7

(11) 30/55
30 = 2 x 15 = 2 x 3 x 5
55 = 5 x 11
Therefore  5 = greatest common factor
30/5 = 6
55/5 = 11
reduced fraction = 6/11
 

(12) 15/20
15 = 3 x 5 
20 = 2 x 10 = 2 x 2 x 5
Therefore   5 = greatest common factor
15/5 = 3
20/5 = 4
reduced fraction term = 3/4

 (13) 12/16
12 = 2 x 6 = 2 x 2 x 3 
16 = 2 x 8 = 2 x 2 x 4
Therefore 2 x 2 = greatest common factor
                       4 =   "          "           "
12/4 = 3
16/4 = 4
reduced fraction = 3/4

(14) 18/27
18 = 2 x 9 = 2 x 3 x 3 
27 = 3 x 9 = 3 x 3 x 3 
Therefore  3 x 3 = greatest common factor
                     9 =     "         "           " 
18/9 = 2
27/9 = 3
reduced fraction = 2/3
 

(15) 54/63
54 = 2 x 27 = 2 x 3 x 9 = 2 x 3 x 3 x 3 
63 = 3 x 21 = 3 x 3 x 7
Therefore  3 x 3 = greatest common factor
                     9 =   "          "               "
54/9 = 6
63/9 = 7
lowest terms = 6/7

(16) 15/21
15 = 3 x 5 
21 = 3 x 7 
Therefore 3 = greatest common factor
15/3 = 5
21/3 = 7
lowest terms = 5/7

(17) 6/30
  6 = 2 x 3 
30 = 2 x 15 = 2 x 3 x 5 
Therefore   2 x 3 = greatest common factor
                      6 =   "         "          "
6/6 = 1
30/6 = 5
reduced fraction = 1/5

(18) 2/18
  2 = 2
18 = 2 x 9
Therefore  2 = greatest common factor
so 2/2 = 1
18/2 = 9
lowest terms = 1/9

(19) 4/22
  4 = 2 x 2 
22 = 2 x 11
Therefore greatest common factor = 2
4/2 = 2
22/2 = 11
reduced fraction = 2/11

(20)12/132
  12 = 2 x 6 = 2 x  2 x 3 
132 = 2 x 66 = 2 x 2 x 33 = 2 x 2 x 3 x 11
Therefore  2 x 2 x 3 = greatest common factor
                         12 =    "       "         "
12/12 = 1
132/12 = 11
therefore 12/132 reduced to its lowest possible terms is 1/11

Click here for to return to practice worksheet

 
Submitted by: Copyright© Lisa Williams I'm a homeschooling mom of 3 elementary school age children. I run a clowning business from my home (Jingles the clown), am pianist for a local church, teach a Sunday School class, teach piano, tutor basic math see Math tutoring and algebra online and I enjoy making people smile. Send a note to Lisa
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