Question

Math
Scratchpad
How do you write 4.083 as a fraction?

4 1/12
4 1/5
4 1/11
4 1/10

Answer 1

To convert the decimal 4.083 into a fraction, we can break it down as follows:

1. Separate the whole number and the decimal part:
- Whole number: 4
- Decimal part: 0.083

2. Convert the decimal part (0.083) to a fraction. The decimal 0.083 is equivalent to \( \frac{83}{1000} \) because:
- 0.083 means "83 thousandths."
- Therefore, we can write it as \( \frac{83}{1000} \).

3. Combine the whole number with the fraction:
\[
4.083 = 4 + 0.083 = 4 + \frac{83}{1000} = \frac{4000}{1000} + \frac{83}{1000} = \frac{4083}{1000}
\]

Now, we can simplify if necessary. The fraction \(\frac{4083}{1000}\) can be checked for further simplification:

- The numerator 4083 and the denominator 1000 do not share any common factors (the GCD is 1), so it is in its simplest form.

However, since the question asks for a mixed number from the provided options, we need to convert 0.083 into a more suitable form.

Analyzing the given options for the best fit:
- \( \frac{1}{12} \) is approximately 0.0833,
- \( \frac{1}{5} \) (0.2) is too large,
- \( \frac{1}{10} \) (0.1) is too large,
- \( \frac{1}{11} \) is approximately 0.0909, which is a bit large.

The closest option to 0.083 is indeed \( \frac{1}{12} \).

Thus,
\[
4.083 \approx 4 \frac{1}{12}
\]

Therefore, the answer is **4 1/12**.