Chapter 5.5, Problem 7OE

To determine

To simplify the given expression.

Answer to Problem 7OE

  $\frac{3}{2s}$

Explanation of Solution

Given:

Expression: $\frac{3s}{4t}\cdot \frac{2t}{s^2}$

Concept used:

To multiply two fractions, simply multiply numerators by each other and denominators by each other and then reduce the fraction if possible.

  $\frac{a}{b}\cdot \frac{c}{d}\to \frac{a\times c}{b\times d}$

Calculation:

Consider the given expression $\frac{3s}{4t}\cdot \frac{2t}{s^2},$

  $\frac{3s}{4t}\cdot \frac{2t}{s^2}$

  $=\frac{3s\times 2t}{4t\times s^2}$

  $\begin{array}{l}=\frac{3\cancel{s}\times 2\cancel{t}}{4\cancel{t}\times s^{\cancel{2}}}\\ =\frac{3\times 2}{4\times s}\\ =\frac{6}{4s}\\ =\frac{3}{2s}\end{array}$

Conclusion:

Therefore, after simplification, the answer is $\frac{3}{2s}$ .