To divide \( 2.3 \) by \( \frac{12}{19} \), you can multiply \( 2.3 \) by the reciprocal of \( \frac{12}{19} \).
The reciprocal of \( \frac{12}{19} \) is \( \frac{19}{12} \).
Now calculate:
\[ 2.3 \div \frac{12}{19} = 2.3 \times \frac{19}{12} \]
First, you can convert \( 2.3 \) to a fraction:
\[ 2.3 = \frac{23}{10} \]
Now, multiply:
\[ \frac{23}{10} \times \frac{19}{12} = \frac{23 \times 19}{10 \times 12} = \frac{437}{120} \]
Now, you can convert \( \frac{437}{120} \) back to a decimal by dividing \( 437 \) by \( 120 \):
\[ 437 \div 120 \approx 3.64166667 \]
Thus,
\[ 2.3 \div \frac{12}{19} \approx 3.6417 \]
So, the final answer is approximately \( 3.6417 \).