To multiply \( \frac{7}{10} \) by \( 5 \), you can write \( 5 \) as a fraction, which is \( \frac{5}{1} \).
Now, multiply the fractions:
\[ \frac{7}{10} \times \frac{5}{1} = \frac{7 \times 5}{10 \times 1} = \frac{35}{10} \]
Next, simplify \( \frac{35}{10} \). Both numerator and denominator can be divided by \( 5 \):
\[ \frac{35 \div 5}{10 \div 5} = \frac{7}{2} \]
Now, convert \( \frac{7}{2} \) into a mixed number. To do this, divide \( 7 \) by \( 2 \):
\[ 7 \div 2 = 3 \quad \text{remainder} \quad 1 \]
This means \( 7 = 2 \times 3 + 1 \), so:
\[ \frac{7}{2} = 3 \frac{1}{2} \]
Thus, the answer is:
\[ \boxed{3 \frac{1}{2}} \]