Question

A baseball pitcher has pitched 98 2/3 innings against his rival's 64 2/9 innings. What is the difference in the number of innings for both pitchers written as a decimal?

Option A: 34.49 innings
Option B: 34.26 innings
Option C: 34.15 innings
Option D: 33.84 innings

Answer 1

The difference in the number of innings for both pitchers is approximately 34.44 innings.

Step-by-step explanation:

To find the difference in the number of innings pitched by the two pitchers, we need to subtract the number of innings pitched by the rival's pitcher from the number of innings pitched by the baseball pitcher.

First, we convert the mixed numbers to improper fractions:

98 \frac{2}{3} = \frac{296}{3} \text{ innings}

64 \frac{2}{9} = \frac{578}{9} \text{ innings}

Next, we subtract the fractions:

\frac{296}{3} - \frac{578}{9} = \frac{888}{9} - \frac{578}{9} = \frac{310}{9} \text{ innings}

Finally, we convert the fraction to a decimal:

\frac{310}{9} \approx 34.44 \text{ innings}

Therefore, the difference in the number of innings for both pitchers written as a decimal is approximately 34.44 innings, which is closest to option A: 34.49 innings.