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Answer:
Step-by-step explanation:
To find the total time Jackson spent on homework, we need to add the time he spent on science and math.
Time spent on science homework = 1/2 hour
Time spent on math homework = 1/3 hour
Total time spent on homework:
We can't directly add fractions with different denominators (2 and 3).
There are two ways to solve this: convert fractions to a common denominator or find the least common multiple for the denominators and convert the fractions accordingly.
Method 1: Converting fractions to a common denominator (6 is the least common multiple of 2 and 3):
Science: 1/2 hour * (3/3) = 3/6 hour
Math: 1/3 hour * (2/2) = 2/6 hour
Total: 3/6 hour + 2/6 hour = 5/6 hour
Method 2: Finding the least common multiple and converting fractions:
Least common multiple of 2 and 3 is 6.
Science: (1 x 3) / (2 x 3) = 3/6 hour
Math: (1 x 2) / (3 x 2) = 2/6 hour
Total: 3/6 hour + 2/6 hour = 5/6 hour
Therefore, Jackson worked on homework for a total of 5/6 hours.
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