Shade the Models and Multiply Fractions — Printable Math Worksheet - Free Printable

To solve the multiplication of fractions, we follow these steps:

1. Multiply the numerators (top numbers) together.
2. Multiply the denominators (bottom numbers) together.
3. Simplify the resulting fraction if needed.

Let's apply this to each problem:

Problem 1: \(\frac{1}{4} \times \frac{2}{3}\)

1. Multiply the numerators: \(1 \times 2 = 2\)
2. Multiply the denominators: \(4 \times 3 = 12\)
3. The result is \(\frac{2}{12}\), which can be simplified to \(\frac{1}{6}\).

Problem 2: \(\frac{1}{3} \times \frac{3}{5}\)

1. Multiply the numerators: \(1 \times 3 = 3\)
2. Multiply the denominators: \(3 \times 5 = 15\)
3. The result is \(\frac{3}{15}\), which can be simplified to \(\frac{1}{5}\).

Problem 3: \(\frac{3}{4} \times \frac{1}{4}\)

1. Multiply the numerators: \(3 \times 1 = 3\)
2. Multiply the denominators: \(4 \times 4 = 16\)
3. The result is \(\frac{3}{16}\), which is already in its simplest form.

Final Answer:
\[
\frac{1}{4} \times \frac{2}{3} = \frac{1}{6}, \quad \frac{1}{3} \times \frac{3}{5} = \frac{1}{5}, \quad \frac{3}{4} \times \frac{1}{4} = \frac{3}{16}
\]