Dividing fractions can sometimes seem tricky, but with the right understanding, it becomes straightforward. Let's explore how to solve the problem of 1/3 divided by 3.
Understanding Division of Fractions
At its core, dividing by a number is the same as multiplying by its reciprocal. The reciprocal of a number is simply 1 divided by that number.
For example, the reciprocal of 3 is 1/3. This concept is crucial for understanding how to divide fractions.
Applying the Concept to 1/3 Divided by 3
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Identify the reciprocal of the divisor: In our case, we are dividing by 3. The reciprocal of 3 is 1/3.
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Multiply the first fraction by the reciprocal: We have 1/3 divided by 3, which translates to: (1/3) * (1/3).
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Multiply the numerators and denominators: (1 * 1) / (3 * 3) = 1/9.
Therefore, 1/3 divided by 3 is equal to 1/9.
Visualizing the Solution
Imagine you have a pizza divided into three equal slices (representing 1/3). Now, you want to divide those three slices equally amongst three people. Each person would receive 1/9 of the whole pizza.
Key Takeaways
- Dividing by a number is the same as multiplying by its reciprocal.
- The reciprocal of a number is 1 divided by that number.
- When dividing fractions, remember to multiply the first fraction by the reciprocal of the second fraction.
- The result of 1/3 divided by 3 is 1/9.
Conclusion
By understanding the concept of reciprocals and applying the appropriate steps, dividing fractions becomes a simple process. Remember, dividing by a number is essentially multiplying by its inverse, making it easier to solve such problems.
