{
 "cells": [
  {
   "outputs": [],
   "cell_type": "markdown",
   "source": [
    "# **7.** Example\n",
    "\n",
    "This is an example for Examples.jl.\n",
    "The source file can be found [here](https://github.com/fredrikekre/Examples.jl/blob/master/examples/example.jl).\n",
    "The generated markdown can be found here: [`example.md`](./example.md), the\n",
    "generated notebook can be found here:\n",
    "[`example.ipynb`](https://nbviewer.jupyter.org/github/fredrikekre/Examples.jl/blob/gh-pages/latest/generated/example.ipynb), and the\n",
    "plain script output can be found here: [`example.jl`](./example.jl)."
   ],
   "metadata": {}
  },
  {
   "outputs": [],
   "cell_type": "markdown",
   "source": [
    "### Rational numbers in Julia\n",
    "Rational number in julia can be constructed with the `//` operator:"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "2//5"
     },
     "metadata": {},
     "execution_count": 1
    }
   ],
   "cell_type": "code",
   "source": [
    "x = 1//3\n",
    "y = 2//5"
   ],
   "metadata": {},
   "execution_count": 1
  },
  {
   "outputs": [],
   "cell_type": "markdown",
   "source": [
    "Operations with rational number returns a new rational number"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "11//15"
     },
     "metadata": {},
     "execution_count": 2
    }
   ],
   "cell_type": "code",
   "source": [
    "x + y"
   ],
   "metadata": {},
   "execution_count": 2
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "2//15"
     },
     "metadata": {},
     "execution_count": 3
    }
   ],
   "cell_type": "code",
   "source": [
    "x * y"
   ],
   "metadata": {},
   "execution_count": 3
  },
  {
   "outputs": [],
   "cell_type": "markdown",
   "source": [
    "Everytime a rational number is constructed, it will be simplified\n",
    "using the `gcd` function, for example `2//4` simplifies to `1//2`:"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "1//2"
     },
     "metadata": {},
     "execution_count": 4
    }
   ],
   "cell_type": "code",
   "source": [
    "2//4"
   ],
   "metadata": {},
   "execution_count": 4
  },
  {
   "outputs": [],
   "cell_type": "markdown",
   "source": [
    "and `2//4 + 2//4` simplifies to `1//1`:"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "1//1"
     },
     "metadata": {},
     "execution_count": 5
    }
   ],
   "cell_type": "code",
   "source": [
    "2//4 + 2//4"
   ],
   "metadata": {},
   "execution_count": 5
  }
 ],
 "nbformat_minor": 3,
 "metadata": {
  "language_info": {
   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "0.7.0"
  },
  "kernelspec": {
   "name": "julia-0.7",
   "display_name": "Julia 0.7.0",
   "language": "julia"
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 },
 "nbformat": 4
}