To divide fractions, you multiply by the reciprocal of the divisor.
In this case, you have \( \frac{7}{3} \) divided by \( \frac{2}{3} \):
\[ \frac{7}{3} \div \frac{2}{3} = \frac{7}{3} \times \frac{3}{2} \]
Now, multiply the numerators and the denominators:
\[ = \frac{7 \times 3}{3 \times 2} = \frac{21}{6} \]
Next, simplify \( \frac{21}{6} \):
\[ \frac{21}{6} = \frac{7}{2} \]
Now we can convert \( \frac{7}{2} \) to a mixed number.
To do this, divide 7 by 2:
- 2 goes into 7 three times, which equals 6 (since \( 2 \times 3 = 6 \)).
- The remainder is \( 7 - 6 = 1 \).
So, \( \frac{7}{2} = 3 \frac{1}{2} \).
Therefore, \( 7 \) thirds divided by \( 2 \) thirds equals 3 whole groups and \( \frac{1}{2} \) as the fractional part.
So, the complete answer is:
3 whole groups and \( \frac{1}{2} \) fractional part.