Fractional Arithmetic Calculator

Integer Fraction Arithmetic Calculator
PHP Program by Jay Tanner

Integer Fraction (A / B)
A
B

Integer Fraction (C / D)
C
D

Double-Click Within Text Area to Select ALL Text

---------------------------------------------------------------
 Integer Fractions:

A/B = 0 / 1
and
C/D = 0 / 1



---------------------------------------------------------------
RAW Fractional Result:

(A/B) + (C/D)  =  E/F

E/F =
0 / 1

---------------------------------------------------------------
REDUCED Fractional Result:

GCD(E/F) = 1

(E/GCD) / (F/GCD) = G/H

G/H =
0 / 1 
Result cannot be reduced any further.

---------------------------------------------------------------
PLAIN DECIMAL Result:

E/F = G/H
=
0

GENERAL INFORMATION

This program performs basic signed integer fraction arithmetic. It applies
arbitrary-precison arithmetic so that it can handle some very large integers.

A/B = Signed integers representing Numerator/Denominator of 1st fraction.
C/D = Signed integers representing Numerator/Denominator of 2nd fraction.

E/F = Raw fractional result of operation prior to reduction to lowest terms.

GCD = Greatest Common Divisor of both numerator and denominator (E/F).
      The GCD is used to reduce the fraction (E/F) to lowest terms (G/H).
      Some fractions will already be in lowest terms and cannot be reduced
      any further.  Such is the case when GCD = 1.

G/H = Fractional result of operation (E/F), reduced to lowest terms.

      Where: G/H = (E/GCD) / (F/GCD)

NOTE:
The button to generate randomized fractions is for experimentation.

THE BASIC RULES OF FRACTIONAL ARITHMETIC Given Two Integer Fractions (A/B) and (C/D) GCD = Greatest Common Divisor of Both Numerator and Denominator
Program by Jay Tanner Revised: Thursday, January 01, 1970 at 12:00:00 AM UTC