The provided equation in the image can be interpreted as:

$\frac{\frac{1}{646} \times \frac{1}{2163} - \frac{1}{814}}{\frac{1}{5123} \times \frac{1}{164} \times \frac{1}{92}}$

Steps to Solve:

1. Simplify the numerator: $\frac{1}{646} \times \frac{1}{2163} = \frac{1}{646 \cdot 2163}$ Subtract $\frac{1}{814}$ from this value.

2. Simplify the denominator: $\frac{1}{5123} \times \frac{1}{164} \times \frac{1}{92} = \frac{1}{5123 \cdot 164 \cdot 92}$

3. Combine the numerator and denominator: The fraction simplifies as: $\frac{\text{Numerator}}{\text{Denominator}} = \left( \frac{\frac{1}{646 \cdot 2163} - \frac{1}{814}}{\frac{1}{5123 \cdot 164 \cdot 92}} \right)$ Simplify the resulting expression step by step.

Perform Calculations:

• Multiply the values in the numerator and denominator for accuracy.
• Compute the final value by dividing the numerator by the denominator.

I will compute this Rational, simplify

Define the fractions in the numerator

numerator_part1 = Rational(1, 646) * Rational(1, 2163) numerator_part2 = Rational(1, 814) numerator = numerator_part1 - numerator_part2

Define the fractions in the denominator

denominator = Rational(1, 5123) * Rational(1, 164) * Rational(1, 92)

Compute the full fraction

result = numerator / denominator

#The simplified result of the given equation is:

$-\frac{26985595370704}{284350143}$

If you want the decimal representation or further details on how this was computed, let me know!

Related Questions:

1. How do fractions like $\frac{1}{x}$ behave in larger expressions?
2. How can this result be expressed in decimal form?
3. What are common applications of such fraction-based calculations in real life?
4. Can this fraction be reduced further, or expressed in another form?
5. How do you handle complex fraction subtraction and division systematically?

Tip:

Always simplify fractions step by step to avoid