62. Упростите выражение: 1) \(\frac{2}{3}\)a * \(\frac{7}{12}\)b 2) \(\frac{8}{9}\)x * 1 \(\frac{1}{5}\)y 3) 5m * 2 \(\frac{6}{11}\)n * 2 \(\frac{5}{14}\)k

Решение:
1) \(\frac{2}{3}\)a * \(\frac{7}{12}\)b = \(\frac{2 * 7}{3 * 12}\)ab = \(\frac{14}{36}\)ab = \(\frac{7}{18}\)ab
2) \(\frac{8}{9}\)x * 1 \(\frac{1}{5}\)y = \(\frac{8}{9}\)x * \(\frac{6}{5}\)y = \(\frac{8 * 6}{9 * 5}\)xy = \(\frac{48}{45}\)xy = \(\frac{16}{15}\)xy = 1 \(\frac{1}{15}\)xy
3) 5m * 2 \(\frac{6}{11}\)n * 2 \(\frac{5}{14}\)k = 5m * \(\frac{28}{11}\)n * \(\frac{33}{14}\)k = \(\frac{5 * 28 * 33}{11 * 14}\)mnk = \(\frac{4620}{154}\)mnk = 30mnk

Ответ:
1) \(\frac{7}{18}\)ab
2) 1 \(\frac{1}{15}\)xy
3) 30mnk