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gulaghasi [49]
3 years ago
12

A work shift for an employee at a restaurant consists of 8 hours. What fraction of the​ employee's work shift is represented by

6 ​hours? ​(Simplify your​ answer.)
Mathematics
1 answer:
alex41 [277]3 years ago
7 0

Answer:

6 hours represents \frac{3}{4} of the 8-h work shift.

Step-by-step explanation:

The fraction of the employee's work shift is equal to the given time divided by the work shift. That is:

x = \frac{6\,h}{8\,h}

x = \frac{6}{8}

x = \frac{3}{4}

6 hours represents \frac{3}{4} of the 8-h work shift.

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Lina20 [59]
Hello there!

For this you simply need to give both fractions a common denominator!

The easiest way to do this specific problem would be to make the denominator 12. Why 12? Because 4 x 3 = 12.

So:

1/4 --> ?/12 --> 1 (3) / 12 --> 3/12

2/3 --> ?/12 --> 2 (4) / 12 --> 8/12

Total amount of time means the sum (adding them together).

When adding fractions, you MUST have a common denominator! (Which is what we just did).

So 3/12 + 8/12 = (8+3) / 12 = 11/12 hours

Notice how the denominator stayed the same? When adding/subtracting fractions, the denominator stays the same! :)

Hope this helped!

-------------------------------

DISCLAIMER: I am not a professional tutor or have any professional background in your subject. Please do not copy my work down, as that will only make things harder for you in the long run. Take the time to really understand this, and it'll make future problems easier. I am human, and may make mistakes, despite my best efforts. Again, I possess no professional background in your subject, so anything you do with my help will be your responsibility. Thank you for reading this, and have a wonderful day/night!
4 0
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Answer:

29.24

Step-by-step explanation:

p= 27

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now finding the value of x,

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