156 : 24 and 102 : 15 both have a quotient of 6 and a remainder of 12.

a. Are the division expressions equivalent to each other? Use your knowledge of decimal division to justify your answer.

b. Construct your own division problem with a two-digit divisor that has a quotient of 6 and a remainder of 12 but is not equivalent to the problems in 1 (a).

Given that

a)

156/24 and 102/15 both have quotient of 6 and a remainder of 12.

156/24:

24) 156 (6

-144

12

102/15:

15) 102 (6

-90

12

So yes we can say that both have same quotient of 6 and a remainder of 12.

b)

132/20:

20) 132 (6

-120

12

Table of 24 Table of 15 Table of 20

24 15 20

48 30 40

72 45 60

96 60 80

120 75 100

144 90 120

168 105 140

192 120 160

216 135 180

240 150 200