Thus to incorporate a new term into a rational approximation, only the two previous convergents are necessary.

Here are all of its best rational approximations.

Sometimes simple rational approximations are exceptionally close to interesting irrational values.

In this case, the task is to give rational approximations to the tangent of π/12.

There are many approximations, rational or otherwise, to the equal-tempered semitone.

Among them, a simple rational approximation is a good choice considering the balance between the stability and the computational complexity.

Most often, a computer will use a rational approximation to a real number.

These numbers are all even; each such number is twice the numerator in one of the rational approximations to discussed above.

They are obtained by applying rational approximations to the square root operator.

In fact π could be computed from these rational approximations.