1 divided by 1/8
Understand the Problem
The question asks to calculate the result of dividing 1 by 1/8. This involves understanding the operation of division and the implication of dividing by a fraction.
Answer
8
Answer for screen readers
The answer is 8.
Steps to Solve
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Identify the operation needed To divide by a fraction, we multiply by its reciprocal. Here, we need to divide 1 by $\frac{1}{8}$.
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Determine the reciprocal The reciprocal of a fraction $\frac{a}{b}$ is $\frac{b}{a}$. Therefore, the reciprocal of $\frac{1}{8}$ is $\frac{8}{1}$, which equals 8.
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Multiply the whole number by the reciprocal Now, we can perform the multiplication: $$ 1 \times \frac{8}{1} = 8 $$
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Final result Thus, the final result of dividing 1 by $\frac{1}{8}$ is 8.
The answer is 8.
More Information
Dividing by a fraction is essentially equivalent to multiplying by its reciprocal. This principle can be a helpful shortcut in various mathematical problems.
Tips
- Confusing division with multiplication: Some may mistakenly think that dividing by a fraction means to simply divide the numbers. Remember, always multiply by the reciprocal!
- Forgetting the reciprocal: It's easy to forget to flip the fraction before performing the multiplication.
