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

Question

$\frac{3x}{4}=16$

00:00 Solve

00:03 We want to isolate the unknown X

00:07 Let's isolate the unknown X

00:09 Instead of division, we'll write multiplication by the reciprocal

00:17 We'll use long multiplication for calculation

00:32 We'll break down one fraction into a whole number and remainder

00:36 And this is the solution to the question

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 $x = 21\frac{1}{3}$ .

$x=21\frac{1}{3}$