To find the total time Josh spent doing these activities, we need to add the time spent at school, work, doing homework, and watching television.
First, let's change all the mixed numbers to improper fractions.
6 1/2 = 13/2
3 2/3 = 11/3
2 3/4 = 11/4
1 1/3 = 4/3
Now, let's add these fractions together:
13/2 + 11/3 + 11/4 + 4/3
To add fractions with different denominators, we need to find a common denominator. In this case, the least common multiple (LCM) of 2, 3, and 4 is 12.
Converting all the fractions into twelfths:
(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 together:
78/12 + 44/12 + 33/12 + 16/12
Adding the numerators:
78 + 44 + 33 + 16 = 171
The denominator remains the same:
171/12
Reducing this fraction to its lowest terms:
The greatest common divisor (GCD) of 171 and 12 is 3.
Dividing the numerator and denominator by 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?
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