Question

Math
Scratchpad
How do you write 4.083 as a fraction?

Answer 1

To convert the decimal 4.083 into a fraction, follow these steps:

1. **Separate the whole number and the decimal part**:
- The whole number is 4.
- The decimal part is 0.083.

2. **Convert the decimal part to a fraction**:
- The decimal 0.083 can be expressed as \( \frac{83}{1000} \) because 0.083 means 83 thousandths.

3. **Combine the whole number and the fraction**:
- Write 4 as a fraction: \( \frac{4}{1} \).
- To combine them, convert 4 into a fraction with a denominator of 1000:
\[
4 = \frac{4 \times 1000}{1 \times 1000} = \frac{4000}{1000}
\]
- Now add the fractions:
\[
\frac{4000}{1000} + \frac{83}{1000} = \frac{4000 + 83}{1000} = \frac{4083}{1000}
\]

4. **Simplify if possible**:
- The fraction \( \frac{4083}{1000} \) does not have any common factors (other than 1), so it is in its simplest form.

Thus, the fraction representation of 4.083 is:
\[
\frac{4083}{1000}
\]