luc has 1 h of homework to do. He has assignments to complete for social studies and math, and a science test. he sepends 2/5 of the time completing the social studies assignment, and 1/3 of the time on math. How much time does Luc have left to study for the science test?
2/5 * 60 = 120/5 = 24 minutes
1/3 * 60 = 60/3 = 20 minutes
60 - 44 = ______ minutes for science
Thank you so much!
To answer this question, we first need to find out how much time Luc spends on each assignment.
Let's start with the social studies assignment. We know that Luc spends 2/5 of his time on this assignment. So, to find out how much time he spends on it, we can multiply the total time he has (1 hour) by 2/5:
(1 hour) * (2/5) = 2/5 hour
Next, let's find out how much time Luc spends on the math assignment. We know that he spends 1/3 of his time on this assignment. So, we can multiply the total time he has (1 hour) by 1/3:
(1 hour) * (1/3) = 1/3 hour
Now, let's sum up the time Luc spends on both the social studies and math assignments:
2/5 hour + 1/3 hour = (6/15 hour) + (5/15 hour) = 11/15 hour
To find out how much time Luc has left to study for the science test, we need to subtract the time spent on assignments from the total time available:
Total time available - Time spent on assignments = Time left to study for the science test
1 hour - 11/15 hour = (15/15 hour) - (11/15 hour) = 4/15 hour
Therefore, Luc has 4/15 hour (approximately 0.27 hour or 16 minutes) left to study for the science test.