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user100 [1]
2 years ago
13

during the weekend Michael took 6 and 3/7 hours to do his homework, 4.37 hours to clean his room and then walked his dog for 2/3

of an hour. How much time did he work on the weekend?
Mathematics
1 answer:
alukav5142 [94]2 years ago
3 0

We conclude that Michael worked for a total of 11.46 hours in the weekend.

<h3>How much time did he work on the weekend?</h3>

We know that during the weekend, the times that he used for each task are:

  • (6 + 3/7) hours to do his homework.
  • 4.37 hours to clean his room.
  • 2/3 hours to walk the dog

The total time is given by the sum between the above numbers, where the difficulty is the fact that the 3 numbers are in different notations (decimal, fraction, and mixed).

The sum is:

S = (6 + 3/7) h + 4.37 h + 2/3 h

The easier way to do this, is to write the 3 numbers in decimal form:

2/3 = 0.66

6 + 3/7 = 6 + 0.43 = 6.43

Then the total time is:

S = 6.43 h + 4.37h + 0.66h = 11.46 h

We conclude that Michael worked for a total of 11.46 hours in the weekend.

If you want to learn more about sums:

brainly.com/question/17695139

#SPJ1

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Answer:

Step-by-step explanation:

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Use the formula s = sum of geometric series = -----------

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or 0.4 + 0.0888888888 ...      or 0.4 + ------------

                                                                1 - 1/10

                                             

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and this simplifies to 0.4 + ------------  =  0.4 + ---------

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Evaluating this last result on a calculator results in 0.488888888 ...

c)  0.48 expressed as a fraction is  48/100 = 12/25

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