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: \(3/4 + 1/4 = ?\) If you were to solve this problem, you would get the answer: \(4/4\) which would ultimately simplify into \(1\) 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: \(2*x=6\) for 2 and \(3*x=6\) 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:\(\frac{1}{2} * 3/3 = ?\) for 1/2 and \(\frac{1}{3} * 2/2 = ?\) You would get the fractions: \(3/6\) and \(2/6\) Do not simplify yet. You must add them up then simplify. If you created a equation, you would get\(\frac{3}{6} + \frac{2}{6}\) and you would get the answer: \(\frac{5}{6}\) of an hour.
Now add all the hours together.
First, you add the hour from Wednesday \(1+\)
Then you add the hour combined from Monday and Thursday \(1 + 1 +\)
Last, you add the time combined from Tuesday and Friday \(1+1+ \frac{5}{6}\)
If you added up all the time, you would get \(2 \frac{5}{6}\) of an hour and that is your answer.
