Question

1. $\frac{3}{4}x=2$

$\frac{4}{3} cdot \frac{square}{square}x = square cdot \frac{4}{3}$
$x = \frac{square}{square} cdot \frac{4}{3}$
$x = square$ or $2\frac{2}{3}$

Explanation:

Step1: Isolate x via reciprocal

Multiply both sides by $\frac{4}{3}$:
$$\frac{4}{3} \cdot \frac{3}{4}x = 2 \cdot \frac{4}{3}$$

Step2: Simplify left-hand side

$\frac{4}{3} \cdot \frac{3}{4} = 1$, so:
$$x = 2 \cdot \frac{4}{3}$$

Step3: Calculate final value

Multiply the terms:
$$x = \frac{8}{3}$$

Answer:

The filled-in blanks are:
First fraction: $\frac{3}{4}$, right-hand side blank: $2$
Second fraction: $\frac{2}{1}$
Final value: $\frac{8}{3}$ or $2\frac{2}{3}$