How do you find the net Mechanical Advantage (MA) of two joint machines. Do you add or multiply the individual MA?

Suppose I have two sets of wheel and axle connected by a fixed pulley. Each of the wheel has a radius of 100cm and each of the axle has a radius of 10cm. What will be their combined MA? I am quite sure that both of them has a MA of 10. But what will be their total MA? Is it 20 or 100? Should I add them or multiply them?

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When you turn the wheel at the beginning by $x$ degrees, the axle at the end will turn by $x/100$ degrees. This comparison of lengths/angles of movement directly translates to the mechanical advantage. The work is a constant, so because of $W=x_1 F_1=x_2 F_2=x_1/100 F_2=x_1/100\cdot 100 F_1$, it follows that $F_2=100 F_1$, which is exactly the mechanical advantage.