Question

x/2 -1/4 = x/3 + 1/2 Solve the equation

Answer 1

[tex]x/2-1/4=x/3+1/2\\ taking lcm,\\ 2x-1/4=2x+3/6\\ 12x-6=8x+12\\ 4x=18\\ x=4.5[/tex]

Answer 2

$\frac{x}{2} - \frac{1}{4} = \frac{x}{3} + \frac{1}{2}$
$\frac{x}{2} - \frac{x}{3} = \frac{1}{2} + \frac{1}{4}$
$\frac{3x-2x}{6}= \frac{2+1}{4}$
$\frac{x}{6}= \frac{3}{4}$
$x= \frac{18}{4}=4 \frac{1}{2}$
Ans:$x=4 \frac{1}{2}$