Question

Simplify: -$\frac{9}{16}·\frac{5}{49}·\frac{16}{9}.$

Short answer

So,$\frac{9}{16}·\frac{5}{49}·\frac{16}{9}=\frac{5}{49}.$

Step-by-step solution

Given Information

Given that$\frac{9}{16}·\frac{5}{49}·\frac{16}{9}.$

Solution

The first and third terms are reciprocals, so use the Commutative Property of multiplication to re-order the factors.

So,

$$\begin{gathered} \frac{9}{16}·\frac{5}{49}·\frac{16}{9}=\frac{9}{16}·\frac{16}{9}·\frac{5}{49} \\ \frac{9}{16}·\frac{5}{49}·\frac{16}{9}=1·\frac{5}{49} \\ \frac{9}{16}·\frac{5}{49}·\frac{16}{9}=\frac{5}{49}. \end{gathered}$$

Final Answer

Hence,$\frac{9}{16}·\frac{5}{49}·\frac{16}{9}=\frac{5}{49}.$