We are going to work with one interpretation of fraction division that uses common denominators. The fraction can be interpreted as having \(a\) wedges of size \(b\text{.}\) This means that the division calculation \(\frac{16}{3} \div \frac{4}{3}\) can be understood as having 16 wedges of size \(\frac{1}{3}\) and creating groups of 4 wedges of size \(\frac{1}{3}\text{.}\) With this framework in mind, draw a diagram of 16 wedges of size \(\frac{1}{3}\) and divide it into groups of 4 wedges each. Use this to determine the result of the calculation.
2.
Using algebraic methods, verify that \(\frac{a}{c} \div \frac{b}{c} = \frac{a}{b}\text{.}\)
3.
Calculate \(\frac{12}{5} \div \frac{4}{3}\) using a common denominator.
