To combine the numbers \( \frac{5}{1} \) and \( \frac{2}{3} \) into a single fraction, we first express \( 5 \) as a fraction:
\[ \frac{5}{1} \]
Now we need to add \( \frac{5}{1} \) and \( \frac{2}{3} \). To do this, we need a common denominator. The common denominator for \( 1 \) and \( 3 \) is \( 3 \).
Next, we convert \( \frac{5}{1} \) to a fraction with a denominator of \( 3 \):
\[ \frac{5}{1} = \frac{5 \times 3}{1 \times 3} = \frac{15}{3} \]
Now we can add the two fractions:
\[ \frac{15}{3} + \frac{2}{3} = \frac{15 + 2}{3} = \frac{17}{3} \]
Thus, the expression \( \frac{5}{1} + \frac{2}{3} \) as a single fraction is:
\[ \frac{17}{3} \]