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

1 Answer
Jul 27, 2015

color(blue)(k=13

Explanation:

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