9 divided by 1/3
Understand the Problem
The question is asking us to divide the fraction 9 by another fraction 1/3. To solve this, we will multiply 9 by the reciprocal of 1/3, which is 3. This approach will help us find the correct answer to the division of these two fractions.
Answer
$27$
Answer for screen readers
The final answer is $27$.
Steps to Solve
- Identify the fractions
We begin with the problem of dividing the fraction ( \frac{9}{1} ) by the fraction ( \frac{1}{3} ).
- Write the division as multiplication by the reciprocal
To divide by a fraction, we multiply by its reciprocal. The reciprocal of ( \frac{1}{3} ) is ( 3 ). Thus, we rewrite the expression:
$$ \frac{9}{1} \div \frac{1}{3} = \frac{9}{1} \times 3 $$
- Perform the multiplication
Now we multiply ( 9 ) by ( 3 ):
$$ \frac{9}{1} \times 3 = 9 \times 3 = 27 $$
- State the final result
The result of dividing ( 9 ) by ( \frac{1}{3} ) is:
$$ 27 $$
The final answer is $27$.
More Information
When you divide a number by a fraction, you are essentially finding out how many times that fraction fits into the number. In this case, ( \frac{1}{3} ) fits into ( 9 ) a total of ( 27 ) times.
Tips
- Not recognizing that dividing by a fraction means multiplying by its reciprocal.
- Confusing the order of operations when performing the multiplication.
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