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 $12$

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

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

$8+24+3k=71$

$32+3k=71$

$3k=71-32$

$3k=39$

$color(blue)(k=13$

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