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.