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valkas [14]
3 years ago
13

Express 2.07070707071... as a rational number, in the form pq where p and q are positive integers with no common factors.

Mathematics
1 answer:
natka813 [3]3 years ago
6 0
x=2.070707\ldots=2.\overline{07}
100x=207.070707\ldots=207.\overline{07}
100x-x=99x=205\implies x=\dfrac{205}{99}
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Answer:

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Step-by-step explanation:

If 1/2 of an inch is 20 miles, we can assume that 1/4 of an inch is 10 miles, since half of 1/2 is 1/4 and 1/2 of 20 is 10.

Equipped with this information, we can divide 3 by 1/2 or multiply 3 by the reciprical, 2/1 to get how much we should multiply 20 by.

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Then we can multiply 10 by 3 and add that on our answer, since there are still 3/4s left and 1/4=10 miles.

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Hope this helps!

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