The Kicking Cacti and the Sprinting Stingrays met in their town's annual kickball championship this year. They were so evenly matched that the game lasted 11 innings! The Stingrays had 3 pitchers, and each of them pitched for the same number of innings.

How long did each of the pitchers for the Stingrays pitch?
Write your answer as a proper fraction or mixed number.

1 answer

To find out how many innings each pitcher for the Stingrays pitched, we start by noting that there are 11 innings in total and there are 3 pitchers.

Let \( x \) be the number of innings each pitcher pitched. Since all three pitchers pitched the same number of innings, we can express the total innings pitched as:

\[ 3x = 11 \]

To solve for \( x \), we can divide both sides of the equation by 3:

\[ x = \frac{11}{3} \]

Thus, each pitcher pitched for \( \frac{11}{3} \) innings. To express this as a mixed number, we can perform the division:

\[ 11 \div 3 = 3 \quad \text{(with a remainder of 2)} \]

This means:

\[ \frac{11}{3} = 3 , \text{whole innings} + \frac{2}{3} , \text{of an inning} \]

Therefore, as a mixed number, the number of innings each pitcher pitched is:

\[ \boxed{3 \frac{2}{3}} \]