To divide the fraction \( \frac{2}{3} \) by \( \frac{12}{19} \), you can multiply by the reciprocal of the second fraction. Here’s how it’s done:
\[ \frac{2}{3} \div \frac{12}{19} = \frac{2}{3} \times \frac{19}{12} \]
Now, multiply the fractions:
\[ \frac{2 \times 19}{3 \times 12} = \frac{38}{36} \]
Next, simplify \( \frac{38}{36} \). Both 38 and 36 can be divided by 2:
\[ \frac{38 \div 2}{36 \div 2} = \frac{19}{18} \]
So, \( \frac{2}{3} \div \frac{12}{19} = \frac{19}{18} \).