Chapter 5.5, Problem 3WE

To determine

To simplify the given expression.

Answer to Problem 3WE

  $x$

Explanation of Solution

Given:

Expression: $\frac{5x^3}{-3}\cdot \frac{-6}{10x^2}$

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 $\frac{5x^3}{-3}\cdot \frac{-6}{10x^2},$

  $\frac{5x^3}{-3}\cdot \frac{-6}{10x^2}$

  $=\frac{5x^3}{\cancel{-}3}\cdot \frac{\cancel{-}6}{10x^2}$

  $=\frac{5x^3\times 6}{3\times 10x^2}$

  $=\frac{x\times 2}{2}$  [Reducing the fractions]

  $\begin{array}{l}=\frac{x\times \cancel{2}}{\cancel{2}}\\ =x\end{array}$

Conclusion:

Therefore, after simplification, the answer is $x$ .