Nicholas skated for 2 5/6 hours last month and 4 11/12 hours this month. How many hours did Nicholas skate in all?Write your answer as a fraction or as a whole or mixed number.

First, we need to add the hours Nicholas skated last month and this month.

Last month, Nicholas skated for 2 5/6 hours. To make it easier to add, we can convert this mixed number to an improper fraction.

The denominator of our fraction is 6. We multiply 2 (the whole number) by 6, which gives us 12. Then we add the numerator (5) to get 17. So, 2 5/6 is the same as 17/6.

This month, Nicholas skated for 4 11/12 hours. We can convert this mixed number to an improper fraction in the same way.

The denominator of our fraction is 12. We multiply 4 (the whole number) by 12, which gives us 48. Then we add the numerator (11) to get 59. So, 4 11/12 is the same as 59/12.

Now we can add these two fractions. But first, we need to find a common denominator. The least common multiple of 6 and 12 is 12.

So, we convert 17/6 to a fraction with 12 as the denominator. We do this by multiplying both the numerator and the denominator by 2, which gives us 34/12.

Now we can add 34/12 and 59/12. We add the numerators to get 93, and the denominator stays the same. So, Nicholas skated for 93/12 hours in total.

To convert this improper fraction back to a mixed number, we divide the numerator by the denominator. 93 divided by 12 is 7 remainder 9. So, Nicholas skated for 7 9/12 hours in total.