Overview
There are many positions (ways, variants etc.) to play the D minor mandolin chord. In this article you can find the most common chord positions – displayed on the slideshow above, fingered for your convenience. To help you understand how to play them, I have included step-by-step instructions, describing where to place each finger and what note this will produce. Finally, the article includes a chord chart with all possible chord positions for future reference, feel free to print it.
What is a D minor (Dm) chord?
The Dm is a triad chord, i.e. it consists of three notes as following:
See how the Dm chord is written on sheet paper:

If you need a blank sheet paper to write it down in order to understand it, you can download one from theMandolinTuner free blank music paper sheet.
Two finger, Dm fingered for mandolin, 1st position
This is how you place your left hand on the fretboard:
Four Finger Dm, fingered for mandolin, 2nd position

This is how you place your left hand on the fretboard:
Three finger Dm, fingered for mandolin, 3rd position

This is how you place your left hand on the fretboard:
D minor, All Mandolin Chord Variants
As with all chords, there are many variants of the Dm chord for the mandolin. So, if you want to explore more, see below a Chord Sheet that presents all variants for you to practice.

How to Practice chords on the mandolin
There are many good articles here at theMandolinTuner for practicing chords. I suggest you start with:
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Ok, it is now time to practice. Grab your mandolin and try to play these chord variants now, it is easy, just follow the instructions!