Solve for b in 3b = 7/6: Linear Equation with Fractions

To solve the equation $3b = \frac{7}{6}$ for the variable $b$, we will perform the following steps:

• Step 1: Identify the equation. The given equation is $3b = \frac{7}{6}$.
• Step 2: Isolate the variable. Divide both sides by 3 to solve for $b$.

When we divide both sides of the equation by 3, we obtain:

$b = \frac{\frac{7}{6}}{3}$

Step 3: Simplify the expression. Dividing a fraction by an integer is equivalent to multiplying the denominator of the fraction by that integer:

$b = \frac{7}{6 \times 3}$

The denominator becomes:

$b = \frac{7}{18}$

Thus, the solution to the equation is $b = \frac{7}{18}$.

This matches the correct answer choice among the given options.

Therefore, the value of $b$ is $b = \frac{7}{18}$.