Lesson Tutor : Answer page for Divisibility worksheet

Divisibility Rules Worksheet: Reducing Fractions
By Lisa Williams

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

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