5. Раскройте скобки: a) \(78 \cdot (\frac{1}{3}d - \frac{15}{26}m)\); б) \(\frac{20}{7} \cdot (\frac{11}{20}v + \frac{1}{2}y)\).

5. Раскроем скобки:

a) \(78 \cdot (\frac{1}{3}d - \frac{15}{26}m)\):

$$78 \cdot (\frac{1}{3}d - \frac{15}{26}m) = 78 \cdot \frac{1}{3}d - 78 \cdot \frac{15}{26}m = 26d - 3 \cdot 15m = 26d - 45m$$

Ответ: \(26d - 45m\)

б) \(\frac{20}{7} \cdot (\frac{11}{20}v + \frac{1}{2}y)\):

$$\frac{20}{7} \cdot (\frac{11}{20}v + \frac{1}{2}y) = \frac{20}{7} \cdot \frac{11}{20}v + \frac{20}{7} \cdot \frac{1}{2}y = \frac{11}{7}v + \frac{10}{7}y = \frac{11}{7}v + 1\frac{3}{7}y$$

Ответ: \(\frac{11}{7}v + 1\frac{3}{7}y\)