Final answer:
To show 2/3 divided by 1/12 on a number line, divide the line into 12 equal parts and locate the points corresponding to 2/3 and 1/12. Connect each point with the endpoint at 0 and divide the line segment representing 2/3 into 12 equal parts.
Step-by-step explanation:
When dividing fractions, we multiply the first fraction by the reciprocal of the second fraction. To show 2/3 divided by 1/12 on a number line, we can start by placing the left endpoint of the line at 0 and the right endpoint at 1. Then, divide the line into 12 equal parts, marking the points 0, 1/12, 2/12, ..., 11/12, 1.
Now, locate the point corresponding to 2/3 on the number line and draw a line segment connecting it with the endpoint at 0. The length of this line segment represents 2/3 on the number line. Repeat the same process for 1/12, locating its point and drawing a line segment connecting it with the endpoint at 0.
Finally, divide the line segment representing 2/3 into 12 equal parts and label each part with the corresponding fractions 1/12, 2/12, ..., 11/12, 12/12. This shows the division of 2/3 by 1/12 on the number line.