How do you write 0.083 as a fraction?

Question

4
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Answer 1

To convert the decimal 0.083 into a fraction, you can follow these steps:

1. Recognize the decimal place: The number 0.083 has three decimal places, which means it can be written as \( \frac{83}{1000} \) because it is 83 thousandths.

2. Simplify the fraction: Now we check if the fraction \( \frac{83}{1000} \) can be simplified. The numerator (83) is a prime number, and the denominator (1000) factors into \( 2^3 \times 5^3 \). Since 83 has no common factors with 1000, the fraction cannot be simplified further.

So, 0.083 as a fraction is \( \frac{83}{1000} \).

However, if you're looking for an approximate fraction from the given options (likely simplifications), \( \frac{1}{12} \) (which is approximately 0.0833) might be the closest fraction representation.

But for exact representation, it is \( \frac{83}{1000} \).

If you're asking specifically to choose an answer from the list you provided:

• \( \frac{1}{12} \) is the closest approximation.