Adding Fractions
Add two fractions a/b + c/d and get the result in simplified form. Free online fraction addition calculator with step-by-step work and decimal conversion.
About This Calculator
This calculator adds two fractions a/b and c/d using the standard method: (axd + bxc) / (bxd). The result is automatically simplified to lowest terms by dividing the numerator and denominator by their greatest common divisor.
Fraction addition is essential in cooking (combining ingredient amounts), construction (adding measurements), budgeting (tracking partial expenses), and education.
Frequently Asked Questions
How do you add fractions?
To add fractions a/b + c/d, find a common denominator (b x d), convert each fraction, then add: (ad + bc) / bd. Simplify the result by dividing numerator and denominator by their GCD.
What if the denominators are already the same?
If denominators are the same, simply add the numerators and keep the denominator. For example, 2/5 + 1/5 = 3/5. The calculator handles this automatically.
Do I need to find the least common denominator?
No. The calculator uses the product of both denominators as the common denominator, which always works. The result is then simplified to lowest terms automatically.
Can I add more than two fractions?
This calculator adds exactly two fractions. To add three or more, add two at a time or use a dedicated multi-fraction calculator.
What if one of the inputs is zero?
If a numerator is 0, the contribution is 0. If a denominator is 0, division by zero is undefined. The calculator requires all fields to be valid nonzero integers.
Is this tool free?
Yes, all calculators on Calculy are completely free to use with no registration required.