1 divided by 1/4 as a fraction
Understand the Problem
The question is asking for the result of the division of 1 by 1/4 expressed as a fraction. To solve this, we will multiply 1 by the reciprocal of 1/4, which is 4.
Answer
The result of the division of 1 by $\frac{1}{4}$ is $4$.
Answer for screen readers
The answer to the division of 1 by $\frac{1}{4}$ is $4$.
Steps to Solve
- Identify the division problem
We need to find the result of dividing 1 by $\frac{1}{4}$.
- Convert division to multiplication
Instead of dividing, we can multiply by the reciprocal of $\frac{1}{4}$. The reciprocal of $\frac{1}{4}$ is $4$. Therefore, we rewrite the problem as:
$$ 1 \div \frac{1}{4} = 1 \times 4 $$
- Perform the multiplication
Now we can multiply:
$$ 1 \times 4 = 4 $$
The answer to the division of 1 by $\frac{1}{4}$ is $4$.
More Information
Dividing by a fraction is the same as multiplying by its reciprocal. This concept is fundamental in arithmetic and helps simplify calculations involving fractions.
Tips
- A common mistake is to forget to take the reciprocal when dividing by a fraction. Always remember that dividing by a fraction means multiplying by its reciprocal.
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