Consider the following fractions. \[ \frac{4}{9}, \frac{11}{18} \] Step 2 of 2 : How much larger is the larger fraction? Express your answer in simplest form.

To find out how much larger the larger fraction, \(\frac{11}{18}\), is than the smaller fraction, \(\frac{4}{9}\), we first need to have a common denominator. The common denominator for \(9\) and \(18\) is \(18\). We can convert \(\frac{4}{9}\) to an equivalent fraction with a denominator of \(18\): \[ \frac{4}{9} = \frac{4 \times 2}{9 \times 2} = \frac{8}{18} \] Now that we have both fractions with the same denominator, we can find the difference: \[ \frac{11}{18} - \frac{8}{18} = \frac{11 - 8}{18} = \frac{3}{18} \] Finally, we simplify \(\frac{3}{18}\): \[ \frac{3}{18} = \frac{1}{6} \] So, the larger fraction is \(\frac{1}{6}\) larger than the smaller fraction, expressed in simplest form.