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: \[ \boxed{2 \frac{4}{5}} \]