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Understanding the Question
It seems like you're asking for a detailed explanation of how to correctly perform division with fractions.
Division of Fractions
When dividing fractions, you can follow these steps:
1. Invert the divisor: To divide one fraction by another, you need to invert the second fraction (the divisor). This means swapping the numerator and denominator of the second fraction.
2. Multiply the fractions: After inverting the divisor, you can multiply the two fractions together. Multiply the numerators together to get the numerator of the result, and multiply the denominators together to get the denominator of the result.
3. Simplify the result: If possible, simplify the resulting fraction by reducing it to its simplest form. This means dividing both the numerator and denominator by their greatest common divisor (GCD).
Let's go through an example to illustrate this process:
Example: Simplify the division of the fractions 4/7 and 3/5.
1. Invert the divisor: The divisor is 3/5, so we need to invert it to get 5/3.
2. Multiply the fractions: Multiply the numerators (4 * 5 = 20) and the denominators (7 * 3 = 21) together to get the result: 20/21.
3. Simplify the result: The fraction 20/21 is already in its simplest form, so no further simplification is needed.
Therefore, the division of 4/7 by 3/5 is equal to 20/21.
Conclusion
To correctly divide fractions, you need to invert the divisor, multiply the fractions, and simplify the result if possible. In the example provided, the division of 4/7 by 3/5 is equal to 20/21.


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