Question

What is 1/6x=4 in solving equations with rational coefficients

Answer 1

To solve an equation with a rational (fraction) coefficient you need to multiply both sides of the equation by the reciprocal (invert the fraction - flip it).

$\frac{1}{6}x =4$ The reciprocal of 1/6 is 6/1 or 6
$6( \frac{1}{6} x)= 6(4)$  The product of reciprocals equals 1 
1x = 24
x = 24