Adding Fractions Calculator
Perform calculations to sum fractions instantly with dynamic visual slice graphs and step-by-step derivations.
Enter Fractions
Fraction visualizer
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Step-by-Step Solution:
What is the Adding Fractions Calculator?
The Adding Fractions Calculator eliminates the tedious work of finding common denominators. It takes two distinct fractions or mixed numbers, safely adds them together, and simplifies the result to its lowest terms.
How It Works (Formula)
You cannot simply add numerators and denominators across. The algorithm first uses the cross-multiplication method to establish a Least Common Multiple (LCM) base. Once denominators match, the numerators are added together, and the fraction is simplified.
$$ \frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd} $$
The cross-multiplication formula used to add fractions.
How to Use It
Enter the numerator (top number) and denominator (bottom number) for your first fraction. Do the exact same for your second fraction. Click calculate, and the tool will output the exact combined fraction and its decimal equivalent.