conrad worked 6 2/3 hrs last week and is working 1 3/4 times as long this week. how long did he qork

Conrad worked 11 2/3 hours this week.

Step-by-step explanation:

In order to find the total number of hours that Conrad worked this week, we need to take his total from the week before and multiply it by the increase in time from this week. Seeing the key word 'times' in the problem lets us know that the operation is multiplication. In order to make our multiplication problem easier, we can convert both mixed numbers into improper fractions. 6 2/3 is also 20/3 and 1 3/4 is also 7/4. We can then multiply 20/3 x 7/4, in which case we multiply the numerators together and the denominators together to get: (20 * 7) / (3*4) = 140/12 = 11 2/3 hours for this week.