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Fraction Calculator

Working with unlike denominators, improper fractions, and cross-multiplication can be error-prone.

Calculated Result
5/6

Fraction Result

Simplified Fraction

5/6

Decimal Equivalent

0.8333

Unreduced Form

5/6

Calculation Breakdown

  1. Perform Operation(1/2) + (1/3) = 5/6\frac{1}{2} + \frac{1}{3} = \frac{5}{6}
  2. Simplify FractionDivide numerator and denominator by GCD: 5/6 = 5/6\frac{5}{6} = \frac{5}{6}

Fraction Operands vs Result

Interactive visualization based on your current inputs

Value
0.00.30.50.81.0Fraction 1Fraction 2TermDecimal Value

What Is the Fraction Calculator?

A Fraction Calculator performs arithmetic between two rational numbers.

How Does the Fraction Calculator Work?

Applies common denominator expansions and GCD simplifications.

Fraction Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

ab±cd=ad±bcbd\frac{a}{b} \pm \frac{c}{d} = \frac{ad \pm bc}{bd}

Standard rational fraction arithmetic.

How to Use the Fraction Calculator

  1. Enter numerators and denominators and select operator.

Step-by-Step Example Calculation

1/2 + 1/3

Input Values:

n1:1
d1:2
op:+
n2:1
d2:3
Worked Steps: Result is 5/6 (0.8333).

Understanding Your Result

Shows simplified fraction and decimal equivalent.

Factors That Affect the Result

  • Common factors.

When Should You Use This Calculator?

  • Cooking, carpentry, and algebra homework.

Assumptions & Limitations

  • Integer rational fractions.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Exact integer GCD reductions.

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