Improper Fraction to Mixed Number

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

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

Formula

Separate sign, whole part floor(|a/b|), and reduced nonnegative remainder.

Example Calculation

Example inputs
  • Numerator: -7
  • Denominator: 3

−7/3 = −(2+1/3), displayed as −2 1/3.

Frequently asked questions

How do I use this calculator?

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

What method does it use?

Separate sign, whole part floor(|a/b|), and reduced nonnegative remainder.. 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. A leading minus applies to the entire mixed number.

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.