Question

-21.83 as a fraction

Answer 1

To convert the decimal \(-21.83\) to a fraction, we can follow these steps:

1. **Separate the whole number and the decimal part**:
\[
-21.83 = -21 - 0.83
\]

2. **Convert 0.83 to a fraction**:
\[
0.83 = \frac{83}{100}
\]

3. **Combine the whole number and the fraction**:
\[
-21 - 0.83 = -21 - \frac{83}{100} = -\frac{2100}{100} - \frac{83}{100} = -\frac{2100 + 83}{100} = -\frac{2183}{100}
\]

4. **Simplify the fraction if possible**:
The numerator \(2183\) is a prime number, so \(\frac{2183}{100}\) is already in its simplest form.

Thus, \(-21.83\) as a fraction is:

\[
-\frac{2183}{100}
\]