Use the model showing 2 wholes divided into thirds to find the quotient
2
÷
1
3
. Select the correct response below.
2 equal-sized circles are shown next to each other. Both are divided into three equal parts. All parts are colored yellow.
A.
2
3
B.
3
2
C.
1
6
D.
6
3 / 9
The correct response is option B: 3/2.
Since we are dividing 2 wholes into thirds, we have a total of 6 equal parts (2 x 3 = 6). To divide by 1/3, we need to find how many times 1/3 goes into 6.
1/3 goes into 6 two times:
6 x 1/3 = 2
Therefore, 2 ÷ 1/3 = 2 x 3/1 = 6.
But since we started with 2 wholes, the final answer must also be in terms of wholes, so we divide by the total number of parts:
6 ÷ 3 = 2
So, 2 ÷ 1/3 = 6/3 = 2, which can be written as 3/2.