Exact numeric arithmetic

Fraction Calculator

Add, subtract, multiply, or divide supported numeric fractions while keeping the exact value in charge and any decimal estimate clearly secondary.

Current status
Noindex beta
Accepted numbers
Integers, rational numbers, finite decimals
Authority
Exact value
Not included
Variable rational expressions

Keep the fraction exact

A fraction is a ratio of two integers. Converting too early to a decimal can introduce rounding, so Proofline treats the exact rational value as the result. A decimal can be useful for intuition, but it must remain explicitly marked as an approximation.

Supported example

12+34=54\frac{1}{2}+\frac{3}{4}=\frac{5}{4}

A common denominator of 4 turns one half into two quarters, so the numerators add to 5 while the denominator remains 4.

Typed input

Use a slash for a numeric fraction, such as 1/2+3/4. Parentheses can make the intended grouping explicit when multiplication or division is involved. Always confirm the interpretation shown by the workspace before solving.

Current limitations

  • Numeric exact arithmetic only on this page.
  • No mixed-number notation claim; enter an improper fraction or an explicit sum.
  • No algebraic cancellation with variables or domain restrictions.
  • No repeating-decimal or arbitrary measurement-unit conversion claim.

Division by zero: A denominator of zero is outside the valid numeric domain and must produce an explicit error rather than a numeric answer.

Questions

Fraction calculator FAQ

What can the fraction calculator evaluate?

The exact-arithmetic beta accepts typed expressions made from integers, rational numbers, and finite decimals within its supported grammar and resource limits.

Will a fraction be converted to a decimal?

The exact value is authoritative. When the interface provides a decimal approximation, it is shown separately and labelled as an approximation rather than replacing the fraction.

Can it simplify algebraic fractions with x?

No. This page covers numeric exact arithmetic. Rational expressions with variables, denominator restrictions, and cancellation across algebraic factors are not included in the current beta.

Calculate without throwing away precision

Return to the main workspace and enter a supported numeric expression to receive the exact result first.

Return to the main solver