(4x+2)/3=1/3/1/3

To solve the equation \((4x + 2)/3 = 1/3/1/3\), we first need to simplify the right side. The expression \(1/3/1/3\) can be interpreted as: \[ 1/3 \div 1/3 \] Dividing by a fraction is the same as multiplying by its reciprocal: \[ 1/3 \div 1/3 = 1/3 \times 3/1 = 1 \] So now the equation simplifies to: \[ \frac{4x + 2}{3} = 1 \] Next, we multiply both sides by 3 to eliminate the denominator: \[ 4x + 2 = 3 \] Now, we can solve for \(x\) by isolating it. First, subtract 2 from both sides: \[ 4x = 3 - 2 \] This simplifies to: \[ 4x = 1 \] Now, divide both sides by 4: \[ x = \frac{1}{4} \] Thus, the solution to the equation is: \[ \boxed{\frac{1}{4}} \]