Simplify a continued fraction
J, 8 5 bytes
Same as this, but uses a build-in for rationals.
Argument is {a0,a1,a2,a3,...} as a list of J extended precision rational numbers. Result is the fraction as a J extended precision rational number.
(+%)/

(+%) the plus-the-reciprocal-of
/ reduction over
Try it online!
-3 thanks to miles.