Fraction

Question

0

61

1

+1348

Find the value of
$\cfrac{1}{1 + \cfrac{1}{4 + \cfrac{1}{4 + \cfrac{1}{4 + \cfrac{1}{4}}}}}.$

sandwich Dec 14, 2023

edited by sandwich Dec 14, 2023

CPhill · Answer 1 · 2023-12-14T05:48:51

4 + 1/4 = 17/4

4 + 4/17 = 72/17

4 + 17/72 = 305/72

1 + 72 / 305 = 377/305

1/ [ 377/305] = 305 / 377