(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:

\[ \boxed{\frac{1}{4}} \]