<p>This problem addresses division involving fractions: 11/14 divided by 4/15. Let's examine the components. The first fraction (dividend) consists of the numerator 11 and the denominator 14. Meanwhile, the second fraction (divisor) comprises a numerator of 4 and denominator of 15. The division operation is carried out in steps. </p>
<p>Here's how we solve it step by step: </p>
<p>$\frac{11}{14}$ ÷ $\frac{4}{15}$</p>
<p>Step 1: We multiply the numerator of the dividend with the denominator of the divisor: 11 x 15 = 165. This shall be the numerator in the resulting fraction. </p>
<p>Step 2: We multiply the denominator of the first fraction with the numerator of the second: 14 x 4 = 56. This becomes the denominator. </p>
<p>Step 3: Combining the numerators and denominators we acquired from steps 1 and 2: $\frac{165}{56}$. </p>
<p>This fraction can be expressed as 2.946 as a decimal. Hence, 11/14 divided by 4/15 equals 2.946 or $\frac{165}{56}$. </p>
<p>Look to improve your proficiency in division problems of this sort by trying similar problems like 7/19 divided by 76, 47 divided by 30, 9 divided by 45, 4/2 divided by 12/20, or 85 divided by 15/18</p>