Solve the Fraction Division: 4/11 ÷ 4 Step-by-Step

To solve the equation $\frac{4}{11} \div 4$, let's follow these steps:

• Step 1: Identify the reciprocal of the divisor $4$. The reciprocal of $4$ is $\frac{1}{4}$.
• Step 2: Multiply the original fraction by the reciprocal. Thus, $\frac{4}{11} \times \frac{1}{4}$.
• Step 3: Perform the multiplication. Multiplying two fractions involves multiplying their numerators and their denominators:

$\frac{4}{11} \times \frac{1}{4} = \frac{4 \times 1}{11 \times 4} = \frac{4}{44}$.

Step 4: Simplify the resulting fraction. Notice that $\frac{4}{44}$ can be simplified because 4 and 44 share a common factor of 4:

$\frac{4}{44} = \frac{1}{11}$.

Therefore, the solution to the division problem $\frac{4}{11} \div 4$ is $\frac{1}{11}$.