Fraction Calculator With Three Fractions

Fraction Operations:

\[ \frac{a}{b} \text{ op } \frac{c}{d} \text{ op } \frac{e}{f} \]

First Fraction Numerator (a):

First Fraction Denominator (b):

First Operation:

Second Fraction Numerator (c):

Second Fraction Denominator (d):

Second Operation:

Third Fraction Numerator (e):

Third Fraction Denominator (f):

Result:

Simplified Result:

Decimal Result:

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1. What is the Three Fraction Calculator?

This calculator performs operations on three fractions with two operations between them. It can handle addition, subtraction, multiplication, and division of fractions in sequence, providing results in fractional and decimal forms.

2. How Does the Calculator Work?

The calculator performs operations in the order they appear:

\[ \frac{a}{b} \text{ op1 } \frac{c}{d} \text{ op2 } \frac{e}{f} \]

Where:

\( a, c, e \) — Numerators
\( b, d, f \) — Denominators (must be non-zero)
op1, op2 — Operations (+, -, *, /)

Explanation: The calculator first performs the operation between the first two fractions, then uses that result to perform the operation with the third fraction.

3. Importance of Fraction Operations

Details: Fraction operations are fundamental in mathematics, physics, engineering, and many real-world applications where quantities are expressed as ratios.

4. Using the Calculator

Tips: Enter all numerators and denominators (denominators must be non-zero), select operations, and click calculate. The calculator will show the result in three forms: original fraction, simplified fraction, and decimal.

5. Frequently Asked Questions (FAQ)

Q1: What happens if I enter zero for a denominator?
A: The calculator will not perform the calculation as division by zero is undefined. You must enter non-zero denominators.

Q2: How is the fraction simplified?
A: The calculator finds the greatest common divisor (GCD) of numerator and denominator and divides both by this value.

Q3: What's the order of operations?
A: Operations are performed left to right (first op1 between first two fractions, then op2 between that result and the third fraction).

Q4: Can I use negative numbers?
A: Yes, the calculator accepts negative numerators and denominators.

Q5: How precise are the results?
A: The fractional results are exact, while the decimal results are rounded to 4 decimal places.