Solve for X in the Fraction Equation: 3x/4 = 16

To solve the equation $\frac{3x}{4} = 16$, we will eliminate the fraction by multiplying both sides by 4.

• Step 1: Multiply both sides by 4:
  $\left(\frac{3x}{4}\right) \times 4 = 16 \times 4$
• Step 2: Simplify:
  $3x = 64$
• Step 3: Solve for $x$ by dividing both sides by 3:
  $x = \frac{64}{3}$
• Step 4: Simplify the fraction to a mixed number:
  $x = 21\frac{1}{3}$

Therefore, the solution to the equation $\frac{3x}{4} = 16$ is $x = 21\frac{1}{3}$.