.. _sphx_glr_api_gallery_number_theory_continued_fractions:

Continued fractions
---------------------

Continued-fraction expansion and best rational approximations.


.. raw:: html

  <div id='sg-tag-list' class='sphx-glr-tag-list'></div>


.. raw:: html

    <div class="sphx-glr-thumbnails">

.. thumbnail-parent-div-open

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    <div class="sphx-glr-thumbcontainer" tooltip="Expands pi as a continued fraction and shows how quickly its convergents (355/113 famously accurate to 7 digits) approach the true value.">

.. only:: html

  .. image:: /api/gallery/number_theory/continued_fractions/images/thumb/sphx_glr_plot_01_approximating_pi_thumb.png
    :alt:

  :doc:`/api/gallery/number_theory/continued_fractions/plot_01_approximating_pi`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Approximating pi by continued fractions</div>
    </div>


.. thumbnail-parent-div-close

.. raw:: html

    </div>


.. toctree::
   :hidden:

   /api/gallery/number_theory/continued_fractions/plot_01_approximating_pi