To solve this problem, we need to add up the hours spent on each activity and then reduce the resulting fraction to lowest terms.
First, let's convert all the mixed numbers into improper fractions:
6 1/2 = 13/2
3 2/3 = 11/3
2 3/4 = 11/4
1 1/3 = 4/3
Now, we can add up these fractions:
13/2 + 11/3 + 11/4 + 4/3
To add fractions, we need to find a common denominator:
The common denominator for 2, 3, and 4 is 12.
Adjusting the fractions to have a common denominator:
(13/2) * (6/6) = 78/12
(11/3) * (4/4) = 44/12
(11/4) * (3/3) = 33/12
4/3 * (4/4) = 16/12
Now, we can add the fractions:
78/12 + 44/12 + 33/12 + 16/12 = (78 + 44 + 33 + 16)/12 = 171/12
To reduce this fraction to lowest terms, we divide both the numerator and denominator by their greatest common divisor, which is 3:
(171/3)/(12/3) = 57/4
Therefore, Josh spent a total of 57/4 hours doing these activities.
Solve this problem. Reduce to lowest terms.
Josh spent 6 1/2 hours at school, 3 2/3 hours at work, 2 3/4 hours doing homework, and 1 1/3 hours watching television. How much time did Josh spend doing these activities?
Select the correct answer.
Question 1 options:
14 hours
14 1 fourth hours
Mathml image hours
Mathml image hours
1 answer