Question

Write –4.075 as a mixed number.

Answer 1

To convert \(-4.075\) into a mixed number, we can follow these steps:

1. **Identify the whole number part**: The whole number part of \(-4.075\) is \(-4\).

2. **Convert the decimal part to a fraction**: Take the decimal part, which is \(-0.075\). To convert it to a fraction:
- Recognize that \(0.075\) can be expressed as \(\frac{75}{1000}\).
- Simplify \(\frac{75}{1000}\) by finding the greatest common divisor. Both the numerator and denominator can be divided by \(25\):
\[
\frac{75 \div 25}{1000 \div 25} = \frac{3}{40}
\]
- Therefore, \(-0.075\) as a fraction is \(-\frac{3}{40}\).

3. **Combine the whole number and the fraction**: We combine the whole number part \(-4\) with the fraction \(-\frac{3}{40}\):
\[
-4 - \frac{3}{40}
\]

Putting it all together, we write \(-4.075\) as the mixed number:
\[
-4 \frac{3}{40}
\]

Thus, \(-4.075\) as a mixed number is:
\[
-4 \frac{3}{40}
\]