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
To find the actual time Larry spent hauling material, we need to multiply the total number of hours Larry worked (411/2) by the fraction representing the portion of time he spent hauling (1/3).
First, let's convert 411/2 into a mixed number: 411/2 = 4 * (2/2) + 11/2 = 8 + 11/2 = 8 1/2.
So Larry worked 8 1/2 hours.
Next, let's multiply 8 1/2 by 1/3 to find the actual time Larry spent hauling:
8 1/2 * 1/3 = (8 + 1/2) * 1/3 = 8 * 1/3 + 1/2 * 1/3 = 8/3 + 1/6 = 16/6 + 1/6 = 17/6.
Thus, Larry spent 17/6 hours hauling material.
To find out how much time Larry spent hauling material, we need to multiply the total number of hours Larry worked by the fraction representing the portion of time he spent hauling.
Larry worked for a total of 4 1/2 hours (or 4.5 hours).
He spent 1/3 of this time hauling material.
To calculate:
Time spent hauling = Total hours worked × Fraction of time spent hauling
First, let's convert the mixed number 4 1/2 to an improper fraction.
4 1/2 = (4 × 2 + 1) / 2 = 9/2
Now we can calculate the time Larry spent hauling:
Time spent hauling = 9/2 × 1/3
To multiply fractions, we multiply the numerators and the denominators:
Time spent hauling = (9 × 1) / (2 × 3)
Time spent hauling = 9 / 6
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 3:
Time spent hauling = 3 / 2
Therefore, Larry spent 3/2 (or 1 1/2) hours hauling material.
To calculate the actual time Larry spent hauling material, you need to multiply the total number of hours Larry worked by the fraction representing the portion of time he spent hauling.
Step 1: Convert the mixed number 411/2 to an improper fraction.
To convert the mixed number 411/2 to an improper fraction, multiply the whole number (4) by the denominator (2) and add the numerator (11). This gives us:
4 * 2 + 11 = 19/2
So, Larry worked a total of 19/2 hours this week.
Step 2: Calculate the actual time Larry spent hauling.
Multiply the total number of hours (19/2) by the fraction representing the portion of time he spent hauling (1/3). To do this, multiply the numerators (19 * 1) and the denominators (2 * 3) separately to obtain the result:
(19/2) * (1/3) = (19 * 1) / (2 * 3) = 19/6
Therefore, Larry spent 19/6 hours hauling material.