Question

12=(3/2+x/3)/(1/6+1/3) .find the valu of x

Answer 1

12 = (3/2 + x/3)/(1/6 + 1/3)
lcm of 2,3=6
lcm of 6,3=6
12 = (9+2x)/6)/(1+2)/6)
take reciprocal and multiply
so 6 and 6 will cancel
12=9+2x/3
cross multiply 3 with 12
9+2x=36
2x=36-9
2x=27
x=27/2 or 13.53

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Answer 2

$12 = \frac{( \frac{3}{2}+ \frac{x}{3} ) }{( \frac{1}{6}+ \frac{1}{3} ) }$

$12 = \frac{( \frac{9+2x}{6} ) }{( \frac{3}{6}) }$

$12 = \frac{( \frac{9+2x}{6} ) }{( \frac{1}{2}) }$

$6 =\frac{9+2x}{6}$

36 = 9 + 2x

2x = 27

x = 13.5