1) $$10\frac{2}{3} = \frac{10 \cdot 3 + 2}{3} = \frac{30 + 2}{3} = \frac{32}{3} = 10\frac{2}{3}$$
Ответ: $$10\frac{2}{3}$$
2) $$\frac{32}{3} = 10\frac{2}{3}$$
Ответ: $$10\frac{2}{3}$$
3) $$4\frac{1}{7} \times 3 = \frac{4 \cdot 7 + 1}{7} \times 3 = \frac{28 + 1}{7} \times 3 = \frac{29}{7} \times 3 = \frac{29 \cdot 3}{7} = \frac{87}{7} = 12\frac{3}{7}$$
Ответ: $$12\frac{3}{7}$$
4) $$5\frac{2}{5} \times 3 = \frac{5 \cdot 5 + 2}{5} \times 3 = \frac{25 + 2}{5} \times 3 = \frac{27}{5} \times 3 = \frac{27 \cdot 3}{5} = \frac{81}{5} = 16\frac{1}{5}$$
Ответ: $$16\frac{1}{5}$$
5) $$6\frac{3}{4} : 3 = \frac{6 \cdot 4 + 3}{4} : 3 = \frac{24 + 3}{4} : 3 = \frac{27}{4} : 3 = \frac{27}{4} \times \frac{1}{3} = \frac{27}{4 \cdot 3} = \frac{9}{4} = 2\frac{1}{4}$$
Ответ: $$2\frac{1}{4}$$