# How do you convert 6.125 (25 repeating) to a fraction?

This decimal can be written as:

Let's separate the integer portion, the non-repeating decimal, and the period to make the computation simpler:

We can now compute the repeating portion independently:

The computations reveal that the fraction is the sum of a geometrical sequence that converges with:

Thus, the fraction's value is:

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To convert 6.125 (25 repeating) to a fraction, you first separate the repeating part from the non-repeating part. The non-repeating part is 6, and the repeating part is 0.25. Since there are two digits repeating in the decimal part, we represent it as 25/99. Then, we add the non-repeating part to the repeating part: 6 + 25/99. Finally, we combine them to get the fraction: (6 * 99 + 25) / 99 = (594 + 25) / 99 = 619/99. Therefore, 6.125 (25 repeating) is equivalent to 619/99 as a fraction.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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