Liwana spent 2 2/5 hours on his math homework and 1 3/5 hours on his science homework. How much time did he spend doing math and science homework?

To find out how much time Liwana spent doing math and science homework, we need to add the time she spent on each subject.

Liwana spent 2 2/5 hours on math, which can also be written as 12/5 hours.
Liwana spent 1 3/5 hours on science, which can also be written as 8/5 hours.

So, Liwana spent 12/5 + 8/5 = 20/5 = 4 hours doing math and science homework. Answer: \boxed{4}.

To find out how much time Liwana spent on math and science homework, we need to add the two amounts together.

Liwana spent 2 2/5 hours on math homework and 1 3/5 hours on science homework.

To add these two amounts, we need to convert the mixed numbers to improper fractions:
2 2/5 = (5 * 2 + 2) / 5 = 12/5
1 3/5 = (5 * 1 + 3) / 5 = 8/5

Now, we can add the fractions:
12/5 + 8/5 = (12 + 8) / 5 = 20/5

To simplify the fraction, we can divide both the numerator and denominator by their greatest common factor, which is 5:
20/5 = (4*5) / (1*5) = 4/1 = 4

Therefore, Liwana spent a total of 4 hours doing math and science homework.

To find the total time Liwana spent doing math and science homework, we need to add the time spent on math and science.

Liwana spent 2 2/5 hours on math homework.
Liwana spent 1 3/5 hours on science homework.

To add these fractions, we need to convert them to a common denominator. The common denominator for 5 and 5 is 5.

2 2/5 = (5*2 + 2)/5 = 12/5
1 3/5 = (5*1 + 3)/5 = 8/5

Now, we can add the fractions:
12/5 + 8/5 = (12 + 8)/5 = 20/5

Since the numerator (20) is greater than the denominator (5), we can simplify the fraction by dividing the numerator by the denominator:
20/5 = 4

Therefore, Liwana spent a total of 4 hours doing math and science homework.