# Fraction Calculator

> Add, subtract, multiply, or divide fractions and reduce the result.

Page: https://freecalculator.tech/tools/fraction-calculator

## How do I add or simplify fractions?

Fractions are added over a common denominator and then simplified by dividing both parts by their greatest common factor.

## Formula

Addition/subtraction use a common denominator; multiplication multiplies across; division multiplies by the reciprocal.

- Addition/subtraction use a common denominator; multiplication multiplies across; division multiplies by the reciprocal.
- Inputs used: First numerator, First denominator, Operation, Second numerator, Second denominator.
- Edge handling: First numerator is required.; First denominator is required.; Second numerator is required.; Second denominator is required..

## Inputs

- First numerator
- First denominator
- Operation
- Second numerator
- Second denominator

## Worked example: Add 1/2 and 1/3

The common denominator is 6, giving 3/6 + 2/6 = 5/6.
1. Start with First numerator: 1, First denominator: 2, Operation: add, Second numerator: 1, Second denominator: 3.
2. Apply the method: Addition/subtraction use a common denominator; multiplication multiplies across; division multiplies by the reciprocal.
3. The common denominator is 6, giving 3/6 + 2/6 = 5/6.

## Common questions

### How do I add or simplify fractions?

Fractions are added over a common denominator and then simplified by dividing both parts by their greatest common factor. Check the formula, example, and limitations on this page before using the result for a real math decision.

### Does the result reduce automatically?

Yes. Whole-number fractions are reduced to lowest terms.

### Can a denominator be negative?

Yes. The negative sign is normalized to the numerator.

### How do I use the Fraction Calculator?

Enter the required values for First numerator, First denominator, Operation, Second numerator, Second denominator. The calculator applies the formula on this page and shows the main result with any supporting breakdown so you can check the arithmetic.

### What formula does the Fraction Calculator use?

Addition/subtraction use a common denominator; multiplication multiplies across; division multiplies by the reciprocal. The visible formula section above lists the calculation path and the edge cases the page handles, so the result can be checked without relying on the form alone.

### Can the Fraction Calculator be used for exact decisions?

Use it as a calculation aid, not as a substitute for checking the underlying rule, contract, policy, or professional advice that applies to your situation. When a result depends on local rules, personal details, prices, or dates, enter those values yourself and confirm them before acting.

## Limitations and assumptions

- Inputs outside the supported range are rejected rather than forced into a result.
- The result depends on the values you enter for this fraction calculator; it does not supply missing rates, rules, prices, dates, or assumptions for you.

## Cite this page

- APA: Free Calculator. (n.d.). Fraction Calculator. https://freecalculator.tech/tools/fraction-calculator
- MLA: "Fraction Calculator." Free Calculator, https://freecalculator.tech/tools/fraction-calculator.
- Link: Fraction Calculator — Free Calculator, https://freecalculator.tech/tools/fraction-calculator