1/{(2-1/[3-1/(4-1/5)]}
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1/{(2-1/[3-1/(4-1/5)]}
=1/{(2-1/[3-1/(20/5-1/5)]}
=1/{(2-1/[3-1/(19/5)]}
=1/[(2-1/(3-5/19)]
=1/[(2-1/(57/19-5/19)]
=1/[(2-1/(52/19)]
=1/(2-19/52)
=1/(104/52-19/52)
=1/(85/52)
=52/85
=1/{(2-1/[3-1/(20/5-1/5)]}
=1/{(2-1/[3-1/(19/5)]}
=1/[(2-1/(3-5/19)]
=1/[(2-1/(57/19-5/19)]
=1/[(2-1/(52/19)]
=1/(2-19/52)
=1/(104/52-19/52)
=1/(85/52)
=52/85
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