Question

Write –3.875 as a mixed number.

Answer 1

To convert –3.875 into a mixed number, follow these steps:

1. **Identify the whole number part**: The whole number part of –3.875 is –3.

2. **Find the fractional part**: Subtract the whole number from –3.875:
\[
-3.875 - (-3) = -3.875 + 3 = -0.875
\]

3. **Convert –0.875 into a fraction**: Since 0.875 is equivalent to \(\frac{875}{1000}\). We can simplify this fraction:
- Divide the numerator and denominator by 125 (the greatest common divisor):
\[
\frac{875 ÷ 125}{1000 ÷ 125} = \frac{7}{8}
\]

4. **Combine the parts**: Therefore, we have:
\[
-3.875 = -3 \frac{7}{8}
\]

So, –3.875 as a mixed number is \(-3 \frac{7}{8}\).