mike spends 2/3 of his time studying. on tuesday spends 1/6 of his time studying for his science test. what is the value of the combine time Mike studied for his science test?

(4/6) + (1/6) = 5/6

If Mike spends 1/6 of his study time on his science test, and his study time is 2/3 of all of his time, then you divide 1/6 by 2/3 to find that Mike spent (1/6)*(3/2)=3/12=1/4 of his time on Tuesday studying for the science test.

To find the combined time that Mike studied for his science test, we need to calculate 1/6 of 2/3.

To do this, we multiply the fractions together. The numerator of the resulting fraction will be the product of the numerators, and the denominator will be the product of the denominators.

The calculation is as follows:

1/6 * 2/3 = (1 * 2) / (6 * 3) = 2/18

Therefore, Mike spent 2/18 of his time studying for his science test.

However, the fraction 2/18 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2 in this case:

2/18 = 1/9

So, the combined time Mike studied for his science test is equal to 1/9.