What is the equivalent resistance between points a and b in the figure ? Resista

Question

What is the equivalent resistance between points a and b in the figure ?
Resistance = ? ohms

I know that I have asked a question similar to this previously, but I am really lost. I think that I am having a a problem understanding how (visually) the current will move through the circuit, which is where I believe my lack of understanding stems from.

Would someone please assist me but also explain the steps and how the current would move through the circuit and why so that I can understand please?

Thank you!

Explanation / Answer

let R be the equivalent resistance

Let the currents in 300 ,200 and 100 branch be I1, I2,I3

and Let Vab be the potential difference between points a and b

total Current I = I1+ I2 + I3

I = Vab/R = Vab/300 + Vab/200 + Vab/100

1/R = 1/300 + 1/200 + 1/100

=> R = 600/11 = 54.55

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