Ben wanted to run with his dad during a race. His dad was running a marathon which has a distance of 26.2miles. Ben goal was to run with his dad 3/4 of the total distance. However Ben only was able to run 5/6 of his goal. How many miles to the nearest tenth, did Ben run

16.4 miles

Step-by-step explanation:

In this scenario, we are provided with the total distance of the race which Ben's dad ran as well as the fraction of that distance that Ben ran from his goal. In order to calculate the distance in miles that Ben ran we simply need to first multiply the total distance of the race by the fraction that is Ben's goal. We can simplify this even more by dividing the fraction and turning it into decimal form

3 / 4 = 0.75

0.75 * 26.2miles = 19.65miles

Now we can see that Ben's goal was to run 19.65miles but he was only able to run 5/6 of that. Therefore we can multiply this fraction by his goal to get the actual distance that he ran.

5 / 6 = 0.8333

0.8333 * 19.65 = 16.375

Finally, we can see that Ben ran a total of 16.4 miles (rounded to the nearest tenth)

you need a common difference between consecutive terms to be constant, like 1,2,3,4 or 2,4,6,8, or 1,3,6,9