How do you solve # 2/3 + 2k/4=71/12#?

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Answer 1 · 2015-07-27T12:42:21

#color(blue)(k=13#

#2/3 + 2k/4 = 71/12#

Solving the mixed fraction

#2/3 + (2*4 +k)/4 = 71/12#

#2/3 + (8 +k)/4 = 71/12#

The L.C.M of this expression is #12#

#(2*4)/(3*4) + ((8 +k)*3)/(4*3) = 71/12#

#(8)/(cancel12) + (24+3k)/cancel(12) = 71/cancel12#

#8+24+3k=71#

#32+3k=71#

#3k=71-32#

#3k=39#

#color(blue)(k=13#