Example of Evaluating $3ab^2$ when a=-rac{2}{3} and b=-rac{1}{2}

Example of Evaluating $4c^3d$ when c=-rac{1}{2} and d=-rac{4}{3}

A pharmacy technician uses the expression $\frac{1}{10}w + \frac{1}{2}$ to determine the dosage (in milliliters) for a specialized medication, where $w$ represents the patient's weight in kilograms. If a patient weighs $\frac{3}{4}$ of a kilogram, what is the correct first step to evaluate this expression?

A small business owner uses the expression $\frac{3}{5}w + \frac{1}{4}$ to calculate the shipping cost (in dollars) for a lightweight package, where $w$ represents the weight in pounds. Arrange the following steps in the correct order to evaluate the shipping cost for a package weighing $\frac{1}{2}$ pound.

A quality control inspector uses the expression $\frac{7}{8}v$ to check the volume of a liquid container. Match each component of the evaluation process with its correct description for the case where $v = \frac{4}{5}$.

Standard Procedure for Evaluating Variable Expressions with Fractions

A logistics coordinator at a freight delivery company uses the variable expression $\frac{2}{3}d + \frac{1}{4}$ to estimate delivery times (in hours), where $d$ is the distance in miles. To evaluate this expression for a courier trip of $d = \frac{1}{2}$ mile, the coordinator must first ____ the fractional value $\frac{1}{2}$ for the variable $d$ in the expression, and then simplify according to the order of operations.

Training Guide for Freight Rate Calculation