Question

Convert 280% to an equivalent, simplified mixed number.

Answer 1

To convert 280% to an equivalent simplified mixed number, follow these steps:

1. **Convert the percentage to a fraction**:
280% can be expressed as \( \frac{280}{100} \).

2. **Simplify the fraction**:
To simplify \( \frac{280}{100} \), find the greatest common divisor (GCD) of 280 and 100. Both numbers can be divided by 20:
\[
\frac{280 \div 20}{100 \div 20} = \frac{14}{5}
\]

3. **Convert the improper fraction to a mixed number**:
To convert \( \frac{14}{5} \) to a mixed number, divide the numerator (14) by the denominator (5):
- \( 14 \div 5 = 2 \) with a remainder of \( 4 \).
- This means \( \frac{14}{5} = 2 \frac{4}{5} \).

Thus, the equivalent simplified mixed number for 280% is:
\[
\boxed{2 \frac{4}{5}}
\]