We are glad to host the $165$-th Carnival of Mathematics in January $2019$ after last months Carnival of Mathematics 164 by Life Through a...

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...

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

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...

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 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...

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

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 +...

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

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...

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