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A baseball player went up to bat 250 times in a season. He hit the ball 100 times. Find the rate of balls hit to times at bat. Express as a simplified fraction.

(2)/(5)

(5)/(2)

(3)/(5)

(2)/(3)

A baseball player went up to bat 250250 times in a season. He hit the ball 100100 times. Find the rate of balls hit to times at bat. Express as a simplified fraction.\newline25 \frac{2}{5} \newline52 \frac{5}{2} \newline35 \frac{3}{5} \newline23 \frac{2}{3}

Full solution

Q. A baseball player went up to bat 250250 times in a season. He hit the ball 100100 times. Find the rate of balls hit to times at bat. Express as a simplified fraction.\newline25 \frac{2}{5} \newline52 \frac{5}{2} \newline35 \frac{3}{5} \newline23 \frac{2}{3}
  1. Calculate Rate: To find the rate of balls hit to times at bat, we need to divide the number of times the player hit the ball by the number of times he went up to bat.\newlineCalculation: Rate = Number of hitsNumber of times at bat=100250\frac{\text{Number of hits}}{\text{Number of times at bat}} = \frac{100}{250}
  2. Simplify Fraction: Now we simplify the fraction 100250\frac{100}{250}. Both the numerator and the denominator can be divided by 5050.\newlineCalculation: Simplified fraction = (100÷50250÷50)=25(\frac{100 \div 50}{250 \div 50}) = \frac{2}{5}

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