Chris practiced the piano for 3/4 of an hour on monday, 1/2 of an hour on tuesday, 1 hour on wednesday, 1/4 of an hour on thursday, and 1/3 of an hour on friday. how many total hours did chris practice?

Chris practiced a total of 2 5/6 hours.

To add fractions, we need to find and convert all the number's denominators GCF, However; there is a shortcut to this problem.

Since Chris practiced 1 hour on Wednesday, we can put that to the side.

If you added the time Chris practiced on Monday and Thursday, you would get the equation: If you were to solve this problem, you would get the   which would ultimately simplify into  Now put that hour to the side along with the hour on Wednesday.

You are now left with 1/2 an hour on Tuesday and 1/3 of an hour on Friday. We need to find the GCF of the number's denominators. The denominators would be 2 and 3 so we need to find the GCF of those numbers. The factors of two are: 2, 4, 6, 8, 10... and the factors of 3 are 3, 6, 9, 12... Among those factors, the common factor is 6. So we need the fractions 1/2 and 1/3 to have the denominator 6. To do this, we need to find out what number multiplied by the denominator gets you six. If you set up an equation, you would get:  for 2 and  for 3. Solve the first equation and you would get x=3. Solve the second equation and you would get x=2. Now, multiply the whole fraction with "x", according to its equation. You would get the new equation: for 1/2 and  You would get the fractions:  and  Do not simplify yet. You must add them up then simplify. If you created a equation, you would get and you would get the   of an hour.

Now add all the hours together.
First, you add the hour from Wednesday 
Then you add the hour combined from Monday and Thursday 
Last, you add the time combined from Tuesday and Friday 
If you added up all the time, you would get  of an hour and that is your answer.