Pedro spent 2 1/5 hours on his math himework and half as lomg on his science homework one weekend. If his english and social studies homework took 7/8 as long, how much time did he spent on homework that weekend?

add:

2 1/5 + (1/2)(2 1/5) + (7/8)(2 1/5)
= 11/5 + (1/2)(11/5) + (7/8)(11/5)
= 11/5 + 11/10 + 77/40

take over, the LCD is 40

To find the total time Pedro spent on homework that weekend, we need to add up the time he spent on each subject.

First, let's find out how much time Pedro spent on his science homework.
If Pedro spent 2 1/5 hours on his math homework, half as long on his science homework would be:
2 1/5 hours / 2 = 2 1/5 hours * 1/2 = 2 1/10 hours

Next, let's find out how much time Pedro spent on his English and social studies homework.
If Pedro's math homework took 2 1/5 hours and his science homework took 2 1/10 hours, then the English and social studies homework would take:
(2 1/5 hours + 2 1/10 hours) * 7/8 = (11/5 + 21/10) * 7/8 = (22/10 + 21/10) * 7/8 = (43/10) * 7/8 = (43 * 7) / (10 * 8) = 301/80 hours

The total time Pedro spent on homework that weekend is the sum of the time he spent on each subject:
2 1/5 hours (math) + 2 1/10 hours (science) + 301/80 hours (English and social studies) = 11/5 + 21/10 + 301/80 hours

To make it easier to add the fractions, we need to convert them to a common denominator, which is 80:
11/5 * 16/16 = 176/80
21/10 * 8/8 = 168/80
301/80 (already in the common denominator)

Now we can add the fractions:
176/80 + 168/80 + 301/80 = (176 + 168 + 301) / 80 = 645/80 hours

Therefore, Pedro spent 645/80 hours on homework that weekend. This can be simplified to 8 5/8 hours.

To find out how much time Pedro spent on homework that weekend, we need to calculate the total time he spent on each subject and then add them together.

1. Start by finding out how much time Pedro spent on his math homework. The given information says he spent 2 1/5 hours on his math homework. We can convert the mixed number into an improper fraction:
2 1/5 = (2 * 5 + 1) / 5 = 11/5
So, Pedro spent 11/5 hours on his math homework.

2. The information states that Pedro spent half as long on his science homework as he did on his math homework. To find the time he spent on science homework, we need to divide the time on math homework by 2:
11/5 / 2 = 11/5 * 1/2 = 11/10
Therefore, Pedro spent 11/10 hours on his science homework.

3. The information also states that Pedro spent 7/8 as long on his English and social studies homework compared to the other subjects. To calculate the time spent on these subjects, we need to multiply the total time on math and science homework by 7/8:
(11/5 + 11/10) * 7/8 = (22/10 + 11/10) * 7/8 = 33/10 * 7/8 = 33/80
So, Pedro spent 33/80 hours on his English and social studies homework.

4. Finally, we add up the time spent on each subject to find the total time Pedro spent on homework that weekend:
11/5 + 11/10 + 33/80 = 176/80 + 44/80 + 33/80 = 253/80
We can simplify the fraction if needed, but the answer in hours is approximately 3.16 hours.
Therefore, Pedro spent approximately 3.16 hours on homework that weekend.