Fractions Calculator For 3

Three Fractions Addition:

\[ \frac{a}{b} + \frac{c}{d} + \frac{e}{f} = \frac{a \times d \times f + c \times b \times f + e \times b \times d}{b \times d \times f} \]

Numerator 1 (a):

Denominator 1 (b):

Numerator 2 (c):

Denominator 2 (d):

Numerator 3 (e):

Denominator 3 (f):

Result:

Decimal Value:

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1. What is Three Fractions Addition?

The addition of three fractions involves finding a common denominator and then adding the numerators. This calculator helps you add three fractions (a/b + c/d + e/f) and provides both the fractional and decimal results.

2. How Does the Calculator Work?

The calculator uses the following formula:

\[ \frac{a}{b} + \frac{c}{d} + \frac{e}{f} = \frac{a \times d \times f + c \times b \times f + e \times b \times d}{b \times d \times f} \]

Where:

\( a \) — Numerator of first fraction
\( b \) — Denominator of first fraction
\( c \) — Numerator of second fraction
\( d \) — Denominator of second fraction
\( e \) — Numerator of third fraction
\( f \) — Denominator of third fraction

Explanation: The calculator finds the least common denominator by multiplying all denominators, adjusts each numerator accordingly, sums them, and simplifies the result.

3. Importance of Fractions Addition

Details: Adding fractions is fundamental in mathematics and has applications in cooking, construction, science, and engineering where precise measurements are needed.

4. Using the Calculator

Tips: Enter all six values (three numerators and three denominators). Denominators must be positive integers. The calculator will provide both fractional and decimal results.

5. Frequently Asked Questions (FAQ)

Q1: What if I enter zero for a denominator?
A: The calculator requires denominators to be positive integers. Division by zero is undefined.

Q2: How does the simplification work?
A: The calculator finds the greatest common divisor (GCD) of the numerator and denominator and divides both by this number.

Q3: Can I enter negative numbers?
A: Yes, you can enter negative numerators, but denominators must be positive.

Q4: What's the maximum number size I can use?
A: The calculator can handle typical integer values, but extremely large numbers may cause calculation issues.

Q5: Does the calculator reduce to mixed numbers?
A: No, it shows the result as an improper fraction (but simplified) and as a decimal value.