Умножение:

Решение:

1. \( 2 \frac{3}{7} \times 4 = \frac{2 \times 7 + 3}{7} \times 4 = \frac{17}{7} \times 4 = \frac{68}{7} \)
2. \( 5 \frac{1}{3} \times 5 = \frac{5 \times 3 + 1}{3} \times 5 = \frac{16}{3} \times 5 = \frac{80}{3} \)
3. \( 6 \times 3 = 18 \)
4. \( 2 \frac{3}{4} \times 3 \frac{1}{5} = \frac{2 \times 4 + 3}{4} \times \frac{3 \times 5 + 1}{5} = \frac{11}{4} \times \frac{16}{5} = \frac{11 \times 16}{4 \times 5} = \frac{11 \times 4}{1 \times 5} = \frac{44}{5} \)
5. \( 4 \frac{5}{7} \times \frac{5}{14} = \frac{4 \times 7 + 5}{7} \times \frac{5}{14} = \frac{33}{7} \times \frac{5}{14} = \frac{33 \times 5}{7 \times 14} = \frac{165}{98} \)
6. \( 5 \frac{2}{7} \times 3 \frac{1}{2} = \frac{5 \times 7 + 2}{7} \times \frac{3 \times 2 + 1}{2} = \frac{37}{7} \times \frac{7}{2} = \frac{37 \times 7}{7 \times 2} = \frac{37}{2} \)

Ответ:
\( \frac{68}{7} \)
\( \frac{80}{3} \)
18
\( \frac{44}{5} \)
\( \frac{165}{98} \)
\( \frac{37}{2} \)