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Complex Fraction Formula:
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A complex fraction is a fraction where the numerator, denominator, or both contain fractions themselves. The general form is (a/b)/(c/d), which can be simplified using the rule (a/b)/(c/d) = (a×d)/(b×c).
The calculator uses the complex fraction formula:
Where:
Explanation: The calculator first multiplies the numerator of the first fraction (a) by the denominator of the second fraction (d), then multiplies the denominator of the first fraction (b) by the numerator of the second fraction (c). It then simplifies the resulting fraction by finding the greatest common divisor.
Details: Simplifying fractions makes them easier to work with in further calculations and helps in understanding the relationship between quantities. Simplified fractions are also more readable and comparable.
Tips: Enter all four values (a, b, c, d). None of the denominators (b, c, d) should be zero. The calculator will show the direct result, simplified fraction, and decimal equivalent.
Q1: What if one of the denominators is zero?
A: The calculator won't compute the result as division by zero is undefined. You'll need to enter non-zero denominators.
Q2: How does the simplification work?
A: The calculator finds the greatest common divisor (GCD) of the numerator and denominator, then divides both by this number.
Q3: Can I enter negative numbers?
A: Yes, the calculator handles negative numbers. The simplified form will show the negative sign in the numerator.
Q4: What about complex numbers?
A: This calculator is for real numbers only. For complex numbers, a different approach is needed.
Q5: Can I enter decimal values?
A: Yes, the calculator accepts decimal inputs. The simplified fraction will be shown in integer form if possible.