To calculate \( 101 \frac{47}{50} \times 250 \), first convert the mixed number into an improper fraction.
Convert \( 101 \frac{47}{50} \): \[ 101 \frac{47}{50} = 101 + \frac{47}{50} = \frac{101 \times 50 + 47}{50} = \frac{5050 + 47}{50} = \frac{5097}{50} \]
Now, multiply by 250: \[ \frac{5097}{50} \times 250 = \frac{5097 \times 250}{50} \]
Simplify \( \frac{250}{50} = 5 \): \[ = 5097 \times 5 \]
Calculate \( 5097 \times 5 \): \[ 5097 \times 5 = 25485 \]
So, \( 101 \frac{47}{50} \times 250 = 25485 \).