Mixed Number to Improper Fraction

Enter sign.
Signed decimal integer, at most 200 digits; no decimal point or exponent notation.
Signed decimal integer, at most 200 digits; no decimal point or exponent notation.
Signed decimal integer, at most 200 digits; no decimal point or exponent notation.
Math

Mixed Number to Improper Fraction with stated conventions, validation and a worked example.

Formula

improper numerator = sign × (whole × denominator + numerator)

Example Calculation

Example inputs
  • Sign: Positive
  • Whole part: 2
  • Fraction numerator: 1
  • Fraction denominator: 3

2+1/3 = (2×3+1)/3 = 7/3.

Frequently asked questions

How do I use this calculator?

Enter sign, whole part, fraction numerator, fraction denominator. The result updates automatically. Use Reset to restore the example values.

What method does it use?

improper numerator = sign × (whole × denominator + numerator). Exact integer arithmetic uses BigInt. Enter signed decimal integers of at most 200 digits unless a different limit is stated. Decimal approximations are explicitly labelled.

Why might a rounded result differ?

The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.

Are my inputs saved online?

No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.

Check the assumptions and units before using this result. Read about calculation methods.