To calculate \( 6.76 \times \frac{5}{13} \):
First, calculate \( \frac{5}{13} \): \[ \frac{5}{13} \approx 0.3846 \]
Now, multiply \( 6.76 \) by \( 0.3846 \): \[ 6.76 \times 0.3846 \approx 2.596 \]
Thus, \( 6.76 \times \frac{5}{13} \approx 2.596 \).
You can also calculate it directly as \( \frac{6.76 \times 5}{13} \):
Calculate \( 6.76 \times 5 \): \[ 6.76 \times 5 = 33.8 \]
Now, divide \( 33.8 \) by \( 13 \): \[ \frac{33.8}{13} \approx 2.596 \]
So, the final answer is approximately \( 2.596 \).