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Section 18.2 Worksheets

PDF Version of these Worksheets

Worksheet Worksheet 1
A4US

1.

Find the least common multiple of 12 and 28 by writing out multiples of each number and also by applying the technique from this section.

2.

Find the least common multiple of 18 and 48 by writing out multiples of each number and also by applying the technique from this section.

3.

Calculate \(\frac{3}{5} + \frac{7}{8}\text{.}\)

4.

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

\begin{equation*} \begin{aligned} \frac{4}{5} + \frac{3}{7} \amp = \frac{4}{5} \cdot 7 + \frac{3}{7} \cdot 5 \amp \amp \text{Common denominator} \\ \amp = \frac{28}{35} + \frac{15}{35} \\ \amp = \frac{43}{35} \end{aligned} \end{equation*}

Worksheet Worksheet 2
A4US

1.

Find the least common multiple of 40 and 72.

2.

Find the least common multiple of \(6x^2 y\) and \(9x y^3\text{.}\)

3.

Calculate \(\frac{11}{6} - \frac{7}{20}\text{.}\)

4.

Calculate \(\frac{3}{x} + \frac{7}{y}\text{.}\)

Worksheet Worksheet 3
A4US

1.

Find the least common multiple of 8 and 32.

2.

Find the least common multiple of 8 and \(3p^2 q\text{.}\)

3.

Calculate \(\frac{3a}{4b} + \frac{4b}{3a}\text{.}\)

4.

Calculate \(\frac{11}{6} + \frac{7}{20}\text{.}\)

Worksheet Worksheet 4
A4US

1.

Calculate \(\frac{13}{8} + \frac{17}{20}\text{.}\)

2.

Calculate \(\frac{3x}{8y^2} - \frac{5y}{6x}\text{.}\)

3.

Calculate \(\frac{5x}{6y^2} + \frac{8}{10x^2y^3}\text{.}\)

4.

Calculate \(\frac{x}{y^2} - \frac{y}{x^3}\text{.}\)

Worksheet Worksheet 5
A4US

1.

Calculate \(\frac{7}{8} + \frac{5}{24}\text{.}\)

2.

Calculate \(\frac{22}{15} - \frac{3}{35}\text{.}\)

3.

Calculate \(\frac{a}{b} + \frac{c}{d}\text{.}\)

4.

In the previous problem, you derived a general formula for adding two fractions together. Apply the formula to calculating \(\frac{11}{32} + \frac{23}{48}\) and then explain why it's not a good idea to use the formula in every situation.