№1. Сократите дробь: 1) 5/15; 2) 30/48; 3) 5b/25b; 4) −3zy/(4z²x); 5) 6y²x²/(42yx); 6) 26y²x⁴/(13y³x²).

Сокращаем числитель и знаменатель на общий множитель.

1. \(\dfrac{5}{15}=\dfrac{1}{3}\).
2. \(\dfrac{30}{48}=\dfrac{5}{8}\).
3. \(\dfrac{5b}{25b}=\dfrac{1}{5}\).
4. \(\dfrac{-3zy}{4z^2x}=\dfrac{-3y}{4zx}\).
5. \(\dfrac{6y^2x^2}{42yx}=\dfrac{xy}{7}\).
6. \(\dfrac{26y^2x^4}{13y^3x^2}=\dfrac{2x^2}{y}\).

Ответ: 1) \(\dfrac{1}{3}\); 2) \(\dfrac{5}{8}\); 3) \(\dfrac{1}{5}\); 4) \(-\dfrac{3y}{4zx}\); 5) \(\dfrac{xy}{7}\); 6) \(\dfrac{2x^2}{y}\).