Question

Write –87.125 as a mixed number.

Answer 1

To write \(-87.125\) as a mixed number, we can follow these steps:

1. **Separate the whole number and the decimal part**:
The whole number part is \(-87\), and the decimal part is \(0.125\).

2. **Convert the decimal part to a fraction**:
\(0.125\) can be expressed as a fraction:
\[
0.125 = \frac{125}{1000}
\]

To simplify \(\frac{125}{1000}\), we can divide both the numerator and the denominator by their greatest common divisor (GCD), which is \(125\):
\[
\frac{125 \div 125}{1000 \div 125} = \frac{1}{8}
\]

3. **Combine the whole number and the fraction**:
Therefore, \(-87.125\) can be written as:
\[
-87 \frac{1}{8}
\]

So, \(-87.125\) as a mixed number is:
\[
-87 \frac{1}{8}
\]