1. \( \begin{aligned} \frac{5}{2 \mathrm{~b}}-\frac{3}{4} & =\square \\ & =\square \\ & =\square\end{aligned} \)

To solve the equation \( \frac{5}{2b} - \frac{3}{4} = \square \), you'll want to find a common denominator. The least common multiple of \(2b\) and \(4\) is \(4b\). Rewriting the fractions: - The first term becomes \( \frac{5 \cdot 2}{4b} = \frac{10}{4b} \). - The second term becomes \( \frac{3b}{4b} \). Now the equation looks like: \[ \frac{10}{4b} - \frac{3b}{4b} = \frac{10 - 3b}{4b}. \] Thus, \( \frac{10 - 3b}{4b} = \square \). For further simplification or to find the values of \(b\), you can solve it by cross-multiplying or isolating \(b\) if necessary. The original equivalence essentially describes a relationship between two fractions that can help model scenarios in real life, such as rates or proportions in physics. Keep an eye on those algebraic signs and common denominators to avoid mistakes!