On Monday Roger spent 8 1/10 hours studying. On Tuesday he spent another 1 3/10 hours studying. What is the combined time he spent studying?

Add 1/10 and 3/10 and you'll get 4/10

Add 8 and 1 and you'll get 9
9 4/10
Simplified; 9 2/5

To find the combined time that Roger spent studying on Monday and Tuesday, we need to add the hours together.

On Monday, Roger spent 8 1/10 hours studying.

To add this to the total, we first need to convert the mixed number 1 1/10 into an improper fraction.

1 whole is equal to 10/10, so 1 1/10 can be written as (10/10 + 1/10) = 11/10.

Now we can add the two fractions:

8 1/10 + 1 3/10 = 8 + 1 + 1/10 + 3/10 = 9 + 4/10.

Next, we can simplify the fraction by adding the numerator together and keeping the denominator as 10:

9 + 4/10 = 9 + 4/10 = 9 + 0.4 = 9.4.

Therefore, the combined time that Roger spent studying on Monday and Tuesday is 9.4 hours.