In Swami Bharati Krishna Tirtha's Vedic mathematics, the auxiliary fraction method is used to convert a fraction to its equivalent decimal representation. The "auxiliary fraction" is not a true fraction, but is simply a mnemonic aid used in the calculation. The method is essentially the long division algorithm adapted for mental calculation. It is simplest when the fraction's denominator is one less than a multiple of 10, when it uses the identity
Variants of the method used when the denominator is not one less than a multiple of 10 become progressively more complex but still in the realm of mental math or with one line of notation.
Read more about Auxiliary Fraction: Dividing By Powers of Ten, Forming The Auxiliary Fraction, Using The Auxiliary Fraction – Type One, Worked Example – Type One B, Generating A Denominator With More Terminal Nines, Using The Auxiliary Fraction – Type Two, Worked Example – Type Two, Using The Auxiliary Fraction – Type Three
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