To describe it in simple terms, consider any two quantities where each quantity is greater than zero. Let us say the two quantities have the ratio *m:n*. Now calculate the sum of the two aforementioned quantities and find the ratio of that sum to any larger quantity of the two, let us call it ratio *x:y.* If it turns out that ratios *m:n* and *x:y* are same, then the two quantities are described as being in a **golden ratio**.

Algebraically, for quantities b and a where a>b>0, it is expressed as;

((a+b)/a)=def a/b=*phi *where *phi* denotes the golden ratio.

Using the above descriptions, if you were to take a perfect square with sides **a** and place it adjacent to a rectangle that matches its “height” (“height” of the square) but with at least half of the square’s breadth **b**, then two will form a **similar** golden rectangle with the longer side of the golden triangle being **a**+**b** and the shorter side being **a**. Therefore, **a** is to **b** as **a+b** is to **a. **the golden ratio has a decimal approximation of 1.6180339887…