Solve the Fraction Equation: Isolating X in 2/9x = 21

To solve the equation $\frac{2}{9}x = 21$, we will follow these steps:

• Step 1: Multiply each side of the equation by the reciprocal of $\frac{2}{9}$, which is $\frac{9}{2}$.
• Step 2: Simplify the resulting expression to solve for $x$.

Let's begin with Step 1:
We have $\frac{2}{9}x = 21$. To isolate $x$, multiply both sides of the equation by $\frac{9}{2}$:

$\frac{9}{2} \cdot \frac{2}{9}x = \frac{9}{2} \cdot 21$

Simplifying the left side, the $\frac{9}{2}$ and $\frac{2}{9}$ cancel each other, leaving $x$:

$x = \frac{9}{2} \cdot 21$

Now, proceed with Step 2:
Calculate the right-hand side:

$x = \frac{9 \times 21}{2} = \frac{189}{2} = 94.5$

Therefore, the value of $x$ is $\boxed{94.5}$.