1/4 divided by 12
Understand the Problem
The question is asking for the result of dividing one-fourth by twelve. This is a mathematical operation that will involve simplifying the fraction or converting it into decimal form.
Answer
The result of dividing one-fourth by twelve is $\frac{1}{48}$.
Answer for screen readers
The final answer is $\frac{1}{48}$.
Steps to Solve
- Convert one-fourth to a fraction
One-fourth can be expressed as the fraction $\frac{1}{4}$.
- Set up the division
We need to divide $\frac{1}{4}$ by 12. This can be written as: $$ \frac{1}{4} \div 12 $$
- Rewrite the division as multiplication by the reciprocal
Dividing by a number is the same as multiplying by its reciprocal. The reciprocal of 12 is $\frac{1}{12}$. Therefore, we can rewrite the equation: $$ \frac{1}{4} \div 12 = \frac{1}{4} \times \frac{1}{12} $$
- Multiply the fractions
Now, we multiply the numerators and the denominators: $$ \frac{1 \times 1}{4 \times 12} = \frac{1}{48} $$
- Final answer
The result of dividing one-fourth by twelve is: $$ \frac{1}{48} $$
The final answer is $\frac{1}{48}$.
More Information
Dividing fractions is basically about multiplying by the reciprocal. This concept is fundamental in arithmetic and helps simplify many problems involving division.
Tips
- A common mistake is forgetting to convert the division into multiplication by the reciprocal. To avoid this, always remember that dividing by a number means multiplying by its reciprocal.