3 divided by 1/9
Understand the Problem
The question is asking for the result of dividing 3 by the fraction 1/9. To solve this, we can multiply 3 by the reciprocal of 1/9, which is 9. This will give us the final answer.
Answer
$27$
Answer for screen readers
The final answer is $27$.
Steps to Solve
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Identify the operation We need to divide 3 by the fraction $\frac{1}{9}$.
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Find the reciprocal The reciprocal of the fraction $\frac{1}{9}$ is 9.
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Multiply to solve Now, we multiply 3 by the reciprocal: $$ 3 \times 9 $$
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Calculate the final result Perform the multiplication: $$ 3 \times 9 = 27 $$
The final answer is $27$.
More Information
Dividing by a fraction is equivalent to multiplying by its reciprocal. This is a very useful property in arithmetic, making it easier to handle division involving fractions.
Tips
- A common mistake is to misinterpret division by a fraction as simply dividing the numerators and denominators directly, instead of multiplying by the reciprocal. Always remember to multiply by the reciprocal instead.
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