Processes 7 Identify Structure Complete the steps to show 9. sPractices how \( \frac{4}{5} \times \frac{5}{6} \) Identify Structure also be found using properties and equivalent fractions. \[ \begin{array}{rlr} \frac{4}{5} \times \frac{5}{6} & =\frac{4 \times 5}{5 \times 6} & \begin{array}{l} \text { Multiply numerators. } \\ \text { Multiply denominators. } \end{array} \\ & =\frac{5 \times 4}{5 \times 6} & \\ & =\frac{5}{5} \times 4 & \frac{5}{5}=1 \\ & =\frac{4}{6} & \\ & =\frac{2}{3} & \text { Simplify. } \end{array} \] Write another example that would use the same properties for each step.

Let’s consider the multiplication \( \frac{3}{4} \times \frac{4}{5} \). \[ \begin{array}{rlr} \frac{3}{4} \times \frac{4}{5} & =\frac{3 \times 4}{4 \times 5} & \begin{array}{l} \text { Multiply numerators. } \\ \text { Multiply denominators. } \end{array} \\ & =\frac{4 \times 3}{4 \times 5} & \\ & =\frac{4}{4} \times 3 & \frac{4}{4}=1 \\ & =\frac{3}{5} & \\ & & \text { Final Result. } \end{array} \] This example follows the same structure by multiplying the numerators and denominators, and it conveniently showcases the property of the identity element (where \( \frac{4}{4} = 1 \)). Moreover, this method emphasizes how recognizing equivalent fractions simplifies the process! When you're faced with fractions, remember that canceling common factors can save you time and effort!