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FromTheMoon [43]
3 years ago
9

Rewrite 17/20 and 21/25, so that they have a common denominator then use <,>or = to order 17/20 and 21/25

Mathematics
1 answer:
ohaa [14]3 years ago
4 0
The least common denominator is
20 = 2 * 2 * 5
25 = 5 * 5

The least common denominator has two 5s and two 2s.
LCD = 2*2*5*5 = 100

17/20 = 17 * 5/ 20*5 = 85 / 100
21/25 =  21* 4/25*4 = 84 / 100

Talk about close
17/20 > 21/25 <<<< answer

But I hate to have predicted that before hand.

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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!
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