11/12 divided by 4
Understand the Problem
The question is asking for the result of the division of the fraction 11/12 by the whole number 4. To solve this, we will convert the whole number into a fraction and then perform the division.
Answer
The result of the division of the fraction by the whole number is $\frac{11}{48}$.
Answer for screen readers
The final answer is $\frac{11}{48}$.
Steps to Solve
- Convert the whole number to a fraction
To perform the division, we convert the whole number $4$ into a fraction. We can express $4$ as $\frac{4}{1}$.
- Set up the division
Next, we set up the division of the fraction $\frac{11}{12}$ by the fraction $\frac{4}{1}$. This can be expressed as: $$ \frac{11}{12} \div \frac{4}{1} $$
- Convert division to multiplication
To divide by a fraction, we multiply by its reciprocal. The reciprocal of $\frac{4}{1}$ is $\frac{1}{4}$. Thus, we can rewrite the problem: $$ \frac{11}{12} \times \frac{1}{4} $$
- Multiply the fractions
Now, we multiply the fractions: $$ \frac{11 \times 1}{12 \times 4} = \frac{11}{48} $$
- Simplify if necessary
In this case, $\frac{11}{48}$ is already in the simplest form. Therefore, this is our final result.
The final answer is $\frac{11}{48}$.
More Information
Dividing a fraction by a whole number is equivalent to multiplying the fraction by the reciprocal of that whole number. The answer, $\frac{11}{48}$, is the simplified form of the result.
Tips
- Mistaking division for subtraction: Remember that dividing fractions involves multiplying by the reciprocal, not subtracting.
- Not simplifying the fraction when possible: Always check if your final answer can be simplified further.
