Everyday arithmetic

Fraction arithmetic calculator

Use exact integer fractions for the selected operation. The result is reduced by its greatest common divisor.

Your numbers

Use the units shown. Results update as you change valid inputs.

YOUR RESULT

Use exact integer fractions for the selected operation. The result is reduced by its greatest common divisor.

THE NUMBERS, EXPLAINED

How to use this calculator.

Use exact integer fractions for the selected operation. The result is reduced by its greatest common divisor.

Start with your inputs

Enter first numerator, first denominator, second numerator, second denominator, operation (+, -, *, /). Keep amounts in the units shown on each field. The example is a starting point, not a recommended value.

InputExample value
First numerator1
First denominator2
Second numerator1
Second denominator3
Operation (+, -, *, /)+

A worked example

With the example inputs above, reduced fraction is 5/6. Change the inputs to explore your own scenario.

All results for the example inputs above
ResultExample answer
Reduced fraction5/6

How this is calculated

Reduced fraction

fractionArithmetic(a,b,c,d,e)

Symbols and units
a
First numerator
b
First denominator
c
Second numerator
d
Second denominator
e
Operation (+, -, *, /)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Calculation steps and notation

fractionArithmetic(a, b, c, d, e) combines a/b and c/d using operation e. Addition/subtraction uses a common denominator; multiplication multiplies numerators and denominators; division multiplies by the reciprocal. The result is reduced.

Assumptions and limits

Use exact integer fractions for the selected operation. The result is reduced by its greatest common divisor.

Calculations use the values you enter. Blank or invalid inputs show an error instead of silently substituting zero. Results are displayed to useful precision; calculations retain the underlying numeric precision.

Questions about this tool

What does the result tell me?

Reduced fraction. The result applies to the method and inputs described above. Check the units and assumptions before using it in a decision.

Why might another calculator differ?

Differences in units, rounding, timing or model definitions can produce different answers. Compare the input definitions and the method, rather than only the final number. For this tool: Use exact integer fractions for the selected operation. The result is reduced by its greatest common divisor.

Are my inputs stored or sent to AI?

Calculations on this page happen in your browser. The separate AI question finder sends its submitted conversation to OpenAI; these calculator fields are not sent. Favourites and recent tool names are stored locally. A shared link contains the inputs you choose to include.

Further reading

OpenStax: Prealgebra ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

Review status

Software example and browser checks are recorded in our quality report. No external expert review is claimed. Created with coding assistance; calculations run as ordinary browser code.

Read the quality report →