Big Fraction Calculator — Arbitrary Precision

The Big Fraction Calculator performs exact fraction arithmetic using BigInt — JavaScript's arbitrary-precision integer type. Unlike standard calculators that use IEEE 754 double-precision floating-point (which loses precision above 9,007,199,254,740,991), this calculator computes with integers of any size.

Regular fraction calculators silently produce wrong answers when intermediate values exceed 2⁵³−1. For example, multiplying two 10-digit numerators creates a 20-digit intermediate product that cannot be represented exactly as a JavaScript Number.

The Big Fraction Calculator avoids this entirely. Every operation — LCD, GCF, multiplication, addition — uses BigInt, so results are always exact. It also includes a "Simplify" mode to reduce any large fraction to lowest terms.

The same fraction rules apply, but all arithmetic uses BigInt for exact results:

• Addition: a/b + c/d — find LCD via BigInt LCM, convert, add numerators
• Subtraction: a/b − c/d — same LCD approach, subtract numerators
• Multiplication: a/b × c/d = (a×c) / (b×d) — BigInt handles arbitrarily large products
• Division: a/b ÷ c/d = (a×d) / (b×c) — flip and multiply with BigInt
• Simplify: reduce a/b by computing GCF via the Euclidean algorithm on BigInt values

All results are automatically simplified to lowest terms using BigInt GCF.

Precision boundary: standard JavaScript Number is exact up to 2⁵³−1 = 9,007,199,254,740,991. Beyond this, only BigInt guarantees correct results.