Question

Write –21.325 as a mixed number.

Answer 1

To convert –21.325 into a mixed number, we can break it down into its integer and fractional parts.

1. The integer part is –21.
2. The decimal part (0.325) can be converted into a fraction.

To convert 0.325 into a fraction:
- 0.325 can be expressed as \( \frac{325}{1000} \).

Next, we simplify \( \frac{325}{1000} \):
- The greatest common divisor (GCD) of 325 and 1000 is 25.
- Dividing both the numerator and the denominator by 25 gives us \( \frac{13}{40} \).

Now we can combine the integer part and the fractional part. Since the overall number is negative, we write:

\[
–21.325 = –21 \frac{13}{40}
\]

So, –21.325 as a mixed number is:

\[
–21 \frac{13}{40}
\]