Add 3 Fractions Calculator With Solution

Formula for Adding Three Fractions:

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

First Fraction Numerator (a):

First Fraction Denominator (b):

Second Fraction Numerator (c):

Second Fraction Denominator (d):

Third Fraction Numerator (e):

Third Fraction Denominator (f):

Result:

Final Answer:

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Adding Three Fractions?

Adding three fractions involves finding a common denominator and then combining the numerators. The general formula is:

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

2. How Does the Calculator Work?

The calculator follows these steps:

Finds the common denominator by multiplying all denominators (b × d × f)
Converts each fraction to have this common denominator
Adds the numerators while keeping the common denominator
Simplifies the resulting fraction by finding the greatest common divisor (GCD)

3. Importance of Adding Fractions

Details: Adding fractions is fundamental in mathematics and has applications in measurements, ratios, probability, and real-world problems involving parts of wholes.

4. Using the Calculator

Tips: Enter numerators and denominators for all three fractions. Denominators must be positive integers. The calculator will show step-by-step solution and simplified result.

5. Frequently Asked Questions (FAQ)

Q1: What if my denominators are the same?
A: The calculation is simpler - just add numerators and keep the denominator, then simplify if needed.

Q2: What if I get an improper fraction?
A: The calculator works with both proper and improper fractions. You may convert to mixed numbers if desired.

Q3: Can I add mixed numbers with this?
A: First convert mixed numbers to improper fractions, then use the calculator.

Q4: What's the maximum denominator size?
A: The calculator can handle very large numbers, but extremely large values may cause display issues.

Q5: Why simplify fractions?
A: Simplified fractions are in lowest terms and easier to work with in further calculations.