To find which fraction is equivalent to \( \frac{4}{5} \), we can simplify or convert each option and compare it to \( \frac{4}{5} \).
-
\( \frac{6}{7} \):
This does not simplify to \( \frac{4}{5} \). -
\( \frac{12}{15} \):
We can simplify this by dividing both the numerator and the denominator by 3:
\[ \frac{12 \div 3}{15 \div 3} = \frac{4}{5} \] So, this option is equivalent to \( \frac{4}{5} \). -
\( \frac{8}{9} \):
This also does not simplify to \( \frac{4}{5} \). -
\( \frac{16}{19} \):
This does not simplify to \( \frac{4}{5} \).
Therefore, the correct response is \( \frac{12}{15} \).