Question

The continued fraction for 2453 is:
a) [49;1,1,8,1,2]
b) [49;1,1,8,1,1,2]
c) [49;1,1,8,1,1,98]
d) [49;1,1,8,1,1,4]​

Answer 1

Answer:

d one is your correct answer.

Explanation:

I think it is right.

Answer 2

The answer is (a) [49;1,1,8,1,2].

To find the continued fraction representation of an integer, we repeatedly take its reciprocal and separate the whole number part from the fractional part.

We continue this process with the fractional part until we reach a repeating pattern or run out of digits.

For 2453, we have:

1/2453 = 0 + 1/2453

The whole number part is 0, and the fractional part is 1/2453.

1/2453 = 0 + 1/(1/2453) = 0 + 1/(0 + 1/2453)

The whole number part is 0, and the fractional part is 1/ (0 + 1/2453) = 1/2453.

We can see that the process has started to repeat, so we can stop here.

Thus, the continued fraction for 2453 is [49; 1, 1, 8, 1, 2].

Therefore, the answer is (a) [49;1,1,8,1,2].

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