To divide fractions, you multiply by the reciprocal of the second fraction.
Here’s how to do it step by step:
- Write down the first fraction, \( \frac{2}{3} \).
- Find the reciprocal of the second fraction, \( \frac{4}{7} \), which is \( \frac{7}{4} \).
- Multiply \( \frac{2}{3} \) by \( \frac{7}{4} \):
\[ \frac{2}{3} \times \frac{7}{4} = \frac{2 \times 7}{3 \times 4} = \frac{14}{12} \]
- Simplify \( \frac{14}{12} \):
Both the numerator and the denominator can be divided by 2:
\[ \frac{14}{12} = \frac{7}{6} \]
So, \( \frac{2}{3} \div \frac{4}{7} = \frac{7}{6} \).