Reduced fraction
5/6
Exact result reduced to lowest terms.
Mathematics · Numbers & everyday maths
Fraction calculator — add, subtract, multiply and divide
Enter two integer fractions, choose an operation and get the reduced exact fraction together with its decimal value.
Created v1.0
By Thibaut Grzelak, Mechanical Analysis Engineer
03
Results
Decimal value
0.8333
Decimal value of the reduced fraction.
Results show up to four significant digits for readability; internal calculations retain full precision.
See calculation details
01Reduced fraction
Formula
F = a/b + c/dSubstitution
1/2 + 1/3Result
5/6
02Decimal value
Formula
x = FSubstitution
5/6Result
0.8333
01Formulas and symbols
Formulas used
F
a/b ± c/d
(a/b)(c/d)
(a/b)÷(c/d)
Exact fraction operation before reduction.
x
x = numerator / denominator
Decimal value of the exact reduced fraction.
| Symbol | Meaning |
|---|---|
| a | First numerator a |
| b | First denominator b |
| c | Second numerator c |
| d | Second denominator d |
| F | Reduced fraction |
| x | Decimal value |
02Validation example
Reference numerical case
- 1/2 + 1/3 = 5/6 ≈ 0.8333; (−2/3) × (9/4) = −3/2 = −1.5.
03Operate first, then reduce
Addition and subtraction use a common denominator. Multiplication multiplies numerators and denominators. Division multiplies by the reciprocal, then the result is reduced.
04Limits and conventions
This tool accepts integer numerators and denominators within JavaScript’s safe integer range. It does not parse mixed-number text such as 1 1/2.
05Common mistakes
Never use a zero denominator. When dividing fractions, invert the second fraction only.
06Practical questions
Does the calculator simplify fractions automatically?
Yes. The exact numerator and denominator are divided by their greatest common divisor before display.
Can I use negative fractions?
Yes. A negative sign may be entered in a numerator; the reduced result keeps a positive denominator.
07Technical references
- Prealgebra 2e — fractions — OpenStax