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Section 19.2 Worksheets

PDF Version of these Worksheets

Worksheet Worksheet 1
A4US

1.

Draw a diagram to represent the product \(\frac{1}{4} \cdot \frac{3}{2}\text{.}\)

2.

Draw a diagram to represent the product \(\frac{2}{3} \cdot \frac{3}{4}\text{.}\)

3.

Calculate \(\frac{4}{5} \cdot \frac{8}{3}\text{.}\)

4.

Calculate \(\frac{4}{5} \cdot \frac{8}{3}\text{.}\)

Worksheet Worksheet 2
A4US

1.

Draw a diagram to represent the product \(\frac{3}{4} \cdot \frac{3}{4}\text{.}\)

2.

Calculate \(\frac{10}{9} \cdot \frac{4}{7}\text{.}\)

3.

Calculate \(\frac{12}{5} \cdot \frac{15}{8}\text{.}\)

4.

Calculate \(\frac{3a}{8} \cdot \frac{5}{7b}\text{.}\)

Worksheet Worksheet 3
A4US

1.

Calculate \(\frac{3}{11} \cdot \frac{8}{5}\text{.}\)

2.

Calculate \(\frac{25}{6} \cdot \frac{8}{3}\text{.}\)

3.

Calculate \(\frac{5x}{8y} \cdot \frac{7x^2}{9}\text{.}\)

4.

Calculate \(\frac{15p^2}{7q} \cdot \frac{21 pq }{5}\text{.}\)

Worksheet Worksheet 4
A4US

1.

Check the presentation for errors. If you find one, circle it and describe the mistake in words.

\begin{equation*} \begin{aligned} \frac{3}{4} \cdot \frac{4}{3} \amp = \frac{\cancel{3}}{\cancel{4}} \cdot \frac{\cancel{4}}{\cancel{3}} \amp \eqnspacer \amp \text{Reduce} \\ \amp = 0 \end{aligned} \end{equation*}

2.

Calculate \(\frac{3}{5} \cdot 5x\text{.}\)

3.

Calculate \(\frac{15 x^2 y}{8z} \cdot \frac{10x z^2}{9 y}\text{.}\)

4.

Calculate \(\frac{5 (x+2)^2}{8(x-3)} \cdot \frac{4(x-3)^3}{15 (x+2)^4}\text{.}\)

Worksheet Worksheet 5
A4US

1.

Check the presentation for errors. If you find one, circle it and describe the mistake in words.

\begin{equation*} \begin{aligned} \frac{5}{14} \cdot \frac{7}{15} \amp = \frac{5}{2 \cdot 7} \cdot \frac{7}{3 \cdot 5} \amp \eqnspacer \amp \text{Identify common factors} \\ \amp = \frac{\cancel{5}}{2 \cdot \cancel{7}} \cdot \frac{\cancel{7}}{3 \cdot \cancel{5}} \amp \amp \text{Reduce} \\ \amp = 6 \end{aligned} \end{equation*}

2.

Calculate \(\frac{15p^2}{7q} \cdot \frac{21 pq }{5}\text{.}\)

3.

Calculate \(\frac{x^2 - 1}{x^2 - x - 6} \cdot \frac{x^2 - 5x + 6}{x + 1}\text{.}\)