Fractions Multiplication Practice Worksheet

The image you uploaded appears to be a worksheet for practicing fraction multiplication. Below, I will solve each problem step by step and explain the process.

General Rule for Multiplying Fractions:

To multiply two fractions, follow these steps:
1. Multiply the numerators together.
2. Multiply the denominators together.
3. Simplify the resulting fraction (if possible).

Worksheet Problems and Solutions:

#### Row 1:
1. $ \frac{1}{3} \times \frac{6}{6} = \frac{1 \times 6}{3 \times 6} = \frac{6}{18} = \frac{1}{3} $
2. $ \frac{5}{7} \times \frac{8}{8} = \frac{5 \times 8}{7 \times 8} = \frac{40}{56} = \frac{5}{7} $
3. $ \frac{3}{5} \times \frac{5}{5} = \frac{3 \times 5}{5 \times 5} = \frac{15}{25} = \frac{3}{5} $

#### Row 2:
1. $ \frac{1}{2} \times \frac{2}{2} = \frac{1 \times 2}{2 \times 2} = \frac{2}{4} = \frac{1}{2} $
2. $ \frac{2}{3} \times \frac{2}{2} = \frac{2 \times 2}{3 \times 2} = \frac{4}{6} = \frac{2}{3} $
3. $ \frac{3}{4} \times \frac{3}{3} = \frac{3 \times 3}{4 \times 3} = \frac{9}{12} = \frac{3}{4} $

#### Row 3:
1. $ \frac{3}{6} \times \frac{6}{6} = \frac{3 \times 6}{6 \times 6} = \frac{18}{36} = \frac{1}{2} $
2. $ \frac{4}{5} \times \frac{5}{5} = \frac{4 \times 5}{5 \times 5} = \frac{20}{25} = \frac{4}{5} $
3. $ \frac{5}{8} \times \frac{8}{8} = \frac{5 \times 8}{8 \times 8} = \frac{40}{64} = \frac{5}{8} $

#### Row 4:
1. $ \frac{4}{5} \times \frac{5}{5} = \frac{4 \times 5}{5 \times 5} = \frac{20}{25} = \frac{4}{5} $
2. $ \frac{1}{3} \times \frac{3}{3} = \frac{1 \times 3}{3 \times 3} = \frac{3}{9} = \frac{1}{3} $
3. $ \frac{3}{4} \times \frac{4}{4} = \frac{3 \times 4}{4 \times 4} = \frac{12}{16} = \frac{3}{4} $

#### Row 5:
1. $ \frac{2}{3} \times \frac{3}{3} = \frac{2 \times 3}{3 \times 3} = \frac{6}{9} = \frac{2}{3} $
2. $ \frac{3}{5} \times \frac{5}{5} = \frac{3 \times 5}{5 \times 5} = \frac{15}{25} = \frac{3}{5} $
3. $ \frac{4}{7} \times \frac{7}{7} = \frac{4 \times 7}{7 \times 7} = \frac{28}{49} = \frac{4}{7} $

#### Row 6:
1. $ \frac{2}{5} \times \frac{5}{5} = \frac{2 \times 5}{5 \times 5} = \frac{10}{25} = \frac{2}{5} $
2. $ \frac{3}{4} \times \frac{4}{4} = \frac{3 \times 4}{4 \times 4} = \frac{12}{16} = \frac{3}{4} $
3. $ \frac{5}{6} \times \frac{6}{6} = \frac{5 \times 6}{6 \times 6} = \frac{30}{36} = \frac{5}{6} $

Final Answer:

$$
\boxed{
\begin{array}{ccc}
\frac{1}{3} & \frac{5}{7} & \frac{3}{5} \\
\frac{1}{2} & \frac{2}{3} & \frac{3}{4} \\
\frac{1}{2} & \frac{4}{5} & \frac{5}{8} \\
\frac{4}{5} & \frac{1}{3} & \frac{3}{4} \\
\frac{2}{3} & \frac{3}{5} & \frac{4}{7} \\
\frac{2}{5} & \frac{3}{4} & \frac{5}{6} \\
\end{array}
}
$$

Each fraction in the solution is simplified to its lowest terms.