Calculation
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| Binary | 1.1001111000110111011... |
| Decimal | 1.6180339887498948482... |
| Hexadecimal | 1.9E3779B97F4A7C15F39... |
| Continued fraction | |
| Algebraic form | |
| Infinite series | |
Two quantities a and b are said to be in the golden ratio φ if:
One method for finding the value of φ is to start with the left fraction. Through simplifying the fraction and substituting in b/a = 1/φ,
it is shown that
Multiplying by φ gives
which can be rearranged to
Using the quadratic formula, the only positive solution is
Read more about this topic: Golden Ratio
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