Fm/C is C, F and Ab. The shape this page opens on is written x33111, lowest string first.
Note by note. C is the root, F is the fourth and Ab is the sharp fifth.

Also written Fm over C or Fm with C in the bass. The same chord either way; which spelling you meet depends on who wrote the chart.
There are 5 common shapes for Fm/C on the guitar.
One note away. Change a single note of Fm/C and you have F (with one note moved), Fdim (with one note moved), Fsus2 (with one note moved), Fsus4 (with one note moved), Fm6 (with one note added) or Fm7 (with one note added).
In which keys. Every note of Fm/C belongs to C minor (the iv), C# major (the iii), Eb major (the ii), F minor (the i), Ab major (the vi) and Bb minor (the v).
The common shapes, written lowest string first: x33111, x33114, 8-8-10-10-9-8, x-11-10-13-13-13, x-11-10-10-13-13.
Under the hand. None of the shapes for Fm/C uses an open string, so every one of them is movable; the lowest sits at the 1st fret. 3 of the 5 need a barre. Together they cover the neck from the 1st fret to the 13th.
What kind of chord this is. Fm/C is a slash chord — a triad over a named bass note. slash chords on every root, and what they are for.
The common shapes and the derived voicings come from different places, and both are explained in where the chords and the theory come from.
Shows each chord the way this style would voice it, and marks which of its alternatives belong to the idiom.