2/[3+1/{6+(1/6)}]
= 2/[3+1/(37/6)]
= 2/[3+6/37]
= 2/3(1+2/37)
= 2/3(39/37)
=2*37/3*39
=74/117
=0.63247863247863247863247863247863
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The denominators are equal, so you can just add the numerators exactly. They add up to 9 over 12.
1
1/5 plus 1/7 plus 3/10 is equal to 0.642857
1 over 6
7 over 24.