½ Fraction Addition Calculator

Add two fractions and see the numerator, denominator and decimal result. Uses cross multiplication so unlike denominators can be handled.

No ratings yet — be the first
Rate it: ★ ★ ★ ★ ★

Enter details

Enter the numerator of the first fraction.
Denominator must not be zero.
Enter the numerator of the second fraction.
Denominator must not be zero.

Fill in the details and click Calculate to see your results.


Also available in our Android app, with charts and full breakdown tables.

📘 About the Fraction Addition

Add the first numerator multiplied by the second denominator to the second numerator multiplied by the first denominator.

Multiply the two denominators to obtain a common denominator.

The calculator also shows the decimal value.

🧮 Formula

Formula
a/b + c/d = (ad + bc)/(bd)
a/b + c/d = (ad + bc)/(bd)

✏️ Worked example

1/2 + 1/3

You enter
First Numerator1
First Denominator2
Second Numerator1
Second Denominator3
You get
Result Numerator5
Result Denominator6
Decimal Result0.833333

The result is 5/6, with decimal value about 0.833333.

Try this example →

🧭 How to use this calculator

What you enter

  • First NumeratorEnter the numerator of the first fraction.
  • First DenominatorDenominator must not be zero.
  • Second NumeratorEnter the numerator of the second fraction.
  • Second DenominatorDenominator must not be zero.

What you get

  • Result Numerator
  • Result Denominator
  • Decimal Result

💡 Important notes

  • Use non-zero denominators.
  • The displayed fraction is mathematically equivalent to the result even if it is not reduced to lowest terms.

❓ Frequently asked questions

How are fractions with different denominators added?

Convert them to a common denominator using cross multiplication, then add the numerators.

Can the result be unreduced?

Yes. The current engine does not perform GCD reduction.

Can I add negative fractions?

Yes. Enter a negative numerator or denominator.