The problem asks to find $57\frac{2}{5}\%$ of $500.

ArithmeticPercentagesFractionsMixed NumbersArithmetic Operations
2025/4/18

1. Problem Description

The problem asks to find 5725%57\frac{2}{5}\% of $
5
0
0.

2. Solution Steps

First, convert the mixed number 572557\frac{2}{5} to an improper fraction:
5725=57×5+25=285+25=287557\frac{2}{5} = \frac{57 \times 5 + 2}{5} = \frac{285 + 2}{5} = \frac{287}{5}
So we want to find 2875%\frac{287}{5}\% of $
5
0

0. To do this, first convert the percentage to a decimal by dividing by 100:

2875%=2875÷100=2875×1100=287500\frac{287}{5}\% = \frac{287}{5} \div 100 = \frac{287}{5} \times \frac{1}{100} = \frac{287}{500}
Now, multiply this decimal by 500:
287500×500=287\frac{287}{500} \times 500 = 287

3. Final Answer

287287