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it took jackson 1/2 hour to do his science homework and 1/3 hour to do his math homework. How long did jackson work on homework

Sagot :

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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