Find \( -6 x \div 3 \) when \( x=\frac{3}{4} \) \( 0-\frac{2}{3} \) \( 0 \frac{2}{3} \) \( 0 \frac{1}{2} \) \( 0 \quad-1 \frac{1}{2} \)

Let's start by substituting \( x = \frac{3}{4} \) into the expression \( -6 x \div 3 \): \[ -6 \left( \frac{3}{4} \right) \div 3 = -\frac{18}{4} \div 3 = -\frac{18}{4} \times \frac{1}{3} = -\frac{18}{12} = -\frac{3}{2} \] Now, converting \( -\frac{3}{2} \) into a mixed number gives us \( -1 \frac{1}{2} \). Hence, the answer is: \( 0 \quad -1 \frac{1}{2} \) --- During the early days of mathematics, operations such as division and multiplication were performed with tangible items, like stones or lines in the sand! This tactile approach made it easier to grasp abstract concepts, transforming how we view numbers today. If you find yourself miscalculating negative signs, remember to use a number line for visualization—it can be a game changer! Often, it's just a quick slip that leads to sign errors, so double-checking during calculations can save you a headache!