Compare the fractions \[ \frac{4}{5}-\frac{12}{16} \]

To compare the fractions \( \frac{4}{5} \) and \( \frac{12}{16} \), we first need a common denominator. The fraction \( \frac{12}{16} \) can be simplified to \( \frac{3}{4} \). Now, let's convert both fractions to have a common denominator. The least common multiple of 5 and 4 is 20. Convert \( \frac{4}{5} \) to a fraction with a denominator of 20: \[ \frac{4}{5} = \frac{4 \times 4}{5 \times 4} = \frac{16}{20} \] Convert \( \frac{3}{4} \) to a fraction with a denominator of 20: \[ \frac{3}{4} = \frac{3 \times 5}{4 \times 5} = \frac{15}{20} \] Now we can compare the fractions: \[ \frac{16}{20} - \frac{15}{20} = \frac{16 - 15}{20} = \frac{1}{20} \] Since \( \frac{16}{20} > \frac{15}{20} \), we have: \[ \frac{4}{5} > \frac{12}{16} \] Thus, \( \frac{4}{5} \) is the larger fraction.