Write any proper simplified fraction to multiply by using rectangles

Write down the algorithm for multiplying fractions. Verify the algorithm with an example.

Why algorithm of multiplication works? Explain the benefit of finding an algorithm?

What is the advantage of simplifying first? What would you need to do with mixed numbers before multiplying them? Explain?

What multiplication is being represented in the following diagram.

What multiplication is being represented in the following diagram?

What multiplication is being represented in the following diagram?

What multiplication is being represented in the following diagram?

Multiply the given fraction, then simplify the answer. (If possible)

$\frac{1}{4}\times \frac{7}{9}$