If Larry worked 411/2 hours this week and spent 1/3 of his time hauling material, how much actual time did Larry spend hauling
41.5 * 0.33333 = 13.833 hours
Well, Larry sure worked a "fractionally" interesting amount of hours! If he worked for 411/2 hours, that's a whopping 82.5 hours! Now, since Larry spent 1/3 of his time hauling material, we just divide his total hours by 3 to find out how much time he spent hauling. So, Larry spent 82.5/3 = 27.5 hours hauling material. That's definitely some "weight" off his shoulders, huh?
To find out how much actual time Larry spent hauling material, we need to multiply the total number of hours Larry worked (411/2) by the fraction representing the proportion of time he spent hauling material (1/3).
Step 1: Convert the mixed number to an improper fraction for easier calculation.
To convert 411/2 into an improper fraction, multiply the whole number (4) by the denominator (2) and add the numerator (11) to get:
4 * 2 + 11 = 8 + 11 = 19
So, 411/2 can be rewritten as the improper fraction 19/2.
Step 2: Multiply the total number of hours worked by the fraction representing the proportion of time hauling material.
(19/2) * (1/3) = (19 * 1) / (2 * 3) = 19/6
Therefore, Larry spent a total of 19/6 hours hauling material.
To find out how much actual time Larry spent hauling material, we need to calculate 1/3 of the total number of hours Larry worked.
Larry worked for 41 1/2 hours in total. To work with a mixed fraction, we can convert it to an improper fraction.
41 1/2 = (2 * 41) + 1 = 82/2 + 1 = 83/2
Now we can calculate 1/3 of 83/2:
(1/3) * (83/2) = (1 * 83) / (3 * 2) = 83/6
Therefore, Larry spent 83/6 hours hauling material.