Mathematics

Fraction calculator

Add, subtract, multiply, divide and simplify fractions.

Both a decimal point and a comma work.

5 / 6

Simplified result

Decimal value
0.833333

How it works

a/b ± c/d = (ad ± bc)/bd

Using the calculator

Enter «Operations»: First numerator · First denominator · Operation · Second numerator · Second denominator. Calculation: a/b ± c/d = (ad ± bc)/bd.

Enter «Simplify»: Numerator · Denominator. Calculation: a/b → (a/gcd)/(b/gcd).

Worked input and result

Example (Operations): First numerator = 3; First denominator = 4; Operation = +; Second numerator = 1; Second denominator = 8. Result: Simplified result = 7 / 8 (Decimal value: 0.875).

Example (Simplify): Numerator = 3; Denominator = 4. Result: Simplified result = 3 / 4.

Understanding the result

Enter integer numerators and denominators. Fractions are reduced exactly; decimal displays are rounded. Denominators cannot be zero.

A fraction with zero denominator is undefined. For addition and subtraction use a common denominator; for division multiply by the reciprocal of a nonzero fraction.

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