Multiply numerators and denominators:

\( \dfrac{2}{3} \times \dfrac{3}{4} = \dfrac{2 \times 3}{3 \times 4} = \dfrac{6}{12} \).

Simplify \( \dfrac{6}{12} = \dfrac{1}{2} \).

Answer: \( \dfrac{1}{2} \).

\( \dfrac{5}{8} \times \dfrac{2}{3} = \dfrac{5 \times 2}{8 \times 3} = \dfrac{10}{24} \).

Simplify \( \dfrac{10}{24} \) by dividing top and bottom by 2:

\( \dfrac{10}{24} = \dfrac{5}{12} \).

Answer: \( \dfrac{5}{12} \).

\( \dfrac{7}{10} \times \dfrac{3}{5} = \dfrac{7 \times 3}{10 \times 5} = \dfrac{21}{50} \).

\( \dfrac{21}{50} \) is already in simplest form.

Answer: \( \dfrac{21}{50} \).

Write 6 as \( \dfrac{6}{1} \):

\( 6 \times \dfrac{3}{4} = \dfrac{6}{1} \times \dfrac{3}{4} = \dfrac{18}{4} \).

Simplify \( \dfrac{18}{4} \) by dividing by 2: \( \dfrac{9}{2} \).

Answer: \( \dfrac{9}{2} \).

\( \dfrac{2}{5} \times 35 = \dfrac{2 \times 35}{5} = \dfrac{70}{5} = 14 \).

Answer: 14.

Convert the mixed number:

\( 1\dfrac{1}{2} = \dfrac{3}{2} \).

Now multiply:

\( \dfrac{3}{2} \times \dfrac{2}{5} = \dfrac{3 \times 2}{2 \times 5} = \dfrac{6}{10} \).

Simplify \( \dfrac{6}{10} = \dfrac{3}{5} \).

Answer: \( \dfrac{3}{5} \).

Convert the mixed number:

\( 2\dfrac{3}{4} = \dfrac{11}{4} \).

Now multiply:

\( \dfrac{11}{4} \times \dfrac{4}{5} = \dfrac{11 \times 4}{4 \times 5} = \dfrac{44}{20} \).

Simplify \( \dfrac{44}{20} \) by dividing by 4: \( \dfrac{11}{5} \).

Answer: \( \dfrac{11}{5} \).

Convert both mixed numbers:

\( 1\dfrac{1}{4} = \dfrac{5}{4} \), \( 2\dfrac{2}{5} = \dfrac{12}{5} \).

Now multiply:

\( \dfrac{5}{4} \times \dfrac{12}{5} = \dfrac{5 \times 12}{4 \times 5} = \dfrac{60}{20} = 3 \).

Answer: 3.

You need \( \dfrac{2}{3} \) of \( \dfrac{3}{5} \):

\( \dfrac{2}{3} \times \dfrac{3}{5} = \dfrac{6}{15} = \dfrac{2}{5} \).

Answer: \( \dfrac{2}{5} \) metres.

First multiply the fractions:

\( \dfrac{3}{4} \times \dfrac{2}{5} = \dfrac{6}{20} = \dfrac{3}{10} \).

Now multiply by 60:

\( \dfrac{3}{10} \times 60 = \dfrac{3 \times 60}{10} = \dfrac{180}{10} = 18 \).

Answer: 18.