Question

Find the product. (Lesson 5.4)

$-\frac{6}{21}\cdot \left(\frac{14}{54}\right)$

Short answer

The product of the given expression is$9\frac{7}{9}$ .

Step-by-step solution

Step-1 – Given

The given the expression is$-2\frac{3}{4}\cdot \left(-3\frac{5}{9}\right)$

Step-2 – To determine

We have to find the product of the given expression.

Step-3 – Calculation 

Apply the multiplication to simplify.

$\begin{array}{c}-2\frac{3}{4}\cdot \left(-3\frac{5}{9}\right)=-\frac{11}{4}\left(-\frac{32}{9}\right)\left[\text{writeasimproperfracion}\right]\\ =\frac{-11\cdot \left(-32\right)}{4\cdot 9}\left[\text{useruleformultiplyingfractions}\right]\\ =\frac{88}{9}\left[\text{divideoutcommonfactorandmultipy}\right]\\ =9\frac{7}{9}\left[\text{writeasmixedfraction}\right]\end{array}$

So, the product of the given expression is $9\frac{7}{9}$.