Fraction Calculator With 3 Fractions

Fraction Operations:

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

First Fraction (a/b):

First Operation:

Second Fraction (c/d):

Second Operation:

Third Fraction (e/f):

Calculation Result:

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1. What is the Fraction Calculator?

This calculator performs operations on three fractions sequentially. You can perform two different operations (addition, subtraction, multiplication, or division) between three fractions and get the result in both fractional and decimal form.

2. How Does the Calculator Work?

The calculator performs operations in the order specified:

\[ \left( \frac{a}{b} \text{ op1 } \frac{c}{d} \right) \text{ op2 } \frac{e}{f} \]

Where:

a, c, e — Numerators (must be ≥ 0)
b, d, f — Denominators (must be ≥ 1)
op1, op2 — Operations (+, -, ×, ÷)

Explanation: The calculator first performs the operation between the first two fractions, then performs the second operation between that result and the third fraction.

3. Supported Operations

Details: The calculator supports all four basic arithmetic operations between fractions:

Addition (+)
Subtraction (-)
Multiplication (×)
Division (÷)

4. Using the Calculator

Tips: Enter all numerators and denominators as whole numbers. Denominators cannot be zero. The result will be shown as a simplified fraction and its decimal equivalent.

5. Frequently Asked Questions (FAQ)

Q1: Can I use negative numbers?
A: Numerators can be zero or positive. Denominators must be positive integers.

Q2: How does the calculator handle division by zero?
A: The calculator prevents division by zero by requiring denominators to be ≥1.

Q3: Does the calculator simplify fractions?
A: Yes, the final result is simplified to its lowest terms.

Q4: What's the maximum number size it can handle?
A: The calculator can handle numbers up to PHP's integer limits (typically ±2 billion).

Q5: Can I chain more than three fractions?
A: This calculator is designed for exactly three fractions with two operations. For more complex calculations, you may need to perform multiple calculations.