Adding Subtracting Fractions Calculator

Adding and Subtracting Fractions Calculator

Add or subtract two fractions and get the exact reduced result plus a decimal value.

Last updated: August 2026 | By Summa Calculator

Fraction Addition and Subtraction Calculator
Inputs are integer numerators and non-zero integer denominators. The calculator supports negative, proper, and improper fractions, but not mixed-number entry.
Result
5/6
0.83333333

Addition and Subtraction Use the Same Denominator Rule

Fractions can be added or subtracted directly only after they represent equal-sized parts. That means the denominators must match.

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

The only difference between the two formulas is whether the cross-products in the numerator are added or subtracted.

Subtraction Order Matters

Addition is commutative, so swapping the fractions does not change the sum. Subtraction is different: the first fraction is the amount you start with, and the second is the amount being removed.

3/4 - 1/2 = 1/4
1/2 - 3/4 = -1/4

A negative subtraction result is valid; it means the second value exceeded the first.

Signs in Fraction Arithmetic

A minus sign may appear in the numerator or denominator. One negative sign makes the fraction negative; two negative signs make it positive.

-2/3 = 2/-3
-2/-3 = 2/3

The calculator accepts either sign placement and normalizes the final reduced result so its denominator is positive.

Worked Subtraction Example

Subtract 1/4 from 5/6:

5/6 - 1/4
= 10/12 - 3/12
= 7/12

The exact result is 7/12. Its decimal approximation is 0.58333333.

Using This Two-Operation Calculator

When should I use this instead of the adding-only calculator?

Use this calculator when you need both addition and subtraction in one tool or specifically need fraction subtraction.

Does switching operations keep my old values?

No. Changing between Add and Subtract resets the fraction inputs so a result from the previous mode cannot remain in view.

Does the answer reduce automatically?

Yes. The exact result is divided by the greatest common divisor and displayed with a positive denominator.

Does it multiply or divide fractions?

No. This calculator is limited to addition and subtraction.

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