To multiply the fractions \( \frac{7}{5} \) and \( \frac{10}{11} \), you multiply the numerators together and the denominators together:
\[ \frac{7}{5} \times \frac{10}{11} = \frac{7 \times 10}{5 \times 11} = \frac{70}{55} \]
Next, we simplify the fraction \( \frac{70}{55} \). Both the numerator and the denominator can be divided by their greatest common divisor (GCD), which is 5:
\[ \frac{70 \div 5}{55 \div 5} = \frac{14}{11} \]
Now, to convert \( \frac{14}{11} \) to a mixed number, we divide 14 by 11:
- 11 goes into 14 one time, which gives us a whole number of 1.
- The remainder is \( 14 - 11 = 3 \).
Thus,
\[ \frac{14}{11} = 1 \frac{3}{11} \]
Final answer: \[ \frac{14}{11} \text{ (simplified form) or } 1 \frac{3}{11} \text{ (mixed number)} \]