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

  1. Convert one-fourth to a fraction

One-fourth can be expressed as the fraction $\frac{1}{4}$.

  1. Set up the division

We need to divide $\frac{1}{4}$ by 12. This can be written as: $$ \frac{1}{4} \div 12 $$

  1. 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: $$ \frac{1}{4} \div 12 = \frac{1}{4} \times \frac{1}{12} $$

  1. Multiply the fractions

Now, we multiply the numerators and the denominators: $$ \frac{1 \times 1}{4 \times 12} = \frac{1}{48} $$

  1. 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.

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