A robot can complete 7 tasks in 5/6 hour. Each task takes the same amount of time. How long does it take the robot to complete one task?

5/42

Step-by-step explanation:

To solve this problem, you have to divide 7 and 5/6 to find the unit rate (how much hours it takes to do one task).

Write what you know into a ratio

7 tasks

5/6 hour

2. You want to know how many hours one task takes, so make that a ratio as well.

7 tasks 1 task

5/6 hour? hour

Ask yourself what do you do to the 7 in the numerator to get to one.

That's right! you divide by 7! And whatever you do to the numerator you do to the denominator (and vise-versa). Therefore if you divide the numerator (7) by 7 to get 1, you divide the denominator (5/6) by 7 as well.

5/6 divided by 7 is 5/42 meaning it takes the robot 5/42 hour to complete one task.

1 task

5/42 hour