# Welcome to GanitCharcha's Publication House

## Carnival of Mathematics 153

We are glad to host the $153$rd Carnival of Mathematics in December $2017$ after last months Carnival of Mathematics 152 by TD Dang & Matthew Scroggs at...

## From Irreducible Fractions to Recurring Decimals - Part I

In this article we will establish the connection between Irreducible Fractions and Recurring Decimals. We will start by defining irreducible fractions....

## Not Just a Boring Triangle

One Saturday afternoon Rima was relaxing with a storybook in her hand. Just then there was a knock on the door, her sister…oops…how could she...

## A Short Note on TaxiCab and CabTaxi Numbers

Pierre de Fermat posed one problem more than 350 years ago and the problem is stated as follows “Find a number which can be written in two different ways...

## A Note on Unit Fractions and its Representations as Sum of Unit Fractions

A rational number or a fraction where the numerator is $1$ and the denominator is any positive integer $n,$ is called a unit fraction and is denoted as...

## A Few Interesting Problems on Divisors Counting

We will start this topic with the statement of Fundamental Theorem of Arithmetic.Fundamental Theorem of Arithmetic: Every positive integer $n > 1$ can be...

## Selected Problems on Inequality - Part I

Problem 1: If $a$, $b$ and $c$ are three positivie numbers then, \frac{b^2 + c^2}{b + c} + \frac{c^2 + a^2}{c + a} + \frac{a^2 + b^2}{a + b} \geq a + b +...

## A Note on Factorial and it's Trailing Zeros

DefinitionFor any positive integer $n (>0)$ the factorial of $n$, denoted as $n!$, is defined as\begin{align}n! =...

## Generalization of Divisibility Rules for Primes

For any prime $p$ other than $2$ and $5$ first find out some $x$ such that $px = 10y + 1,$ where $x$ and $y$ are both integers. In number theory, Bezout's...

## A Brief Introduction of Number System

We provide in this note a brief account of our number system. Idea is to introduce different types of numbers and to discuss a few relevant concepts associated...