54. Представьте в виде дроби: а) m/(2p) − (m − p)/(2p); б) (a + b)/6 − (a − 2b)/6; в) (7y − 13)/(10y) − (2y + 3)/(10y); г) (8c + 25)/(6c) + (5 − 2c)/(6c).

1. \(\dfrac{m}{2p}-\dfrac{m-p}{2p}=\dfrac{m-m+p}{2p}=\dfrac{p}{2p}=\dfrac12\).
2. \(\dfrac{a+b}{6}-\dfrac{a-2b}{6}=\dfrac{a+b-a+2b}{6}=\dfrac{3b}{6}=\dfrac b2\).
3. \(\dfrac{7y-13}{10y}-\dfrac{2y+3}{10y}=\dfrac{7y-13-2y-3}{10y}=\dfrac{5y-16}{10y}\).
4. \(\dfrac{8c+25}{6c}+\dfrac{5-2c}{6c}=\dfrac{8c+25+5-2c}{6c}=\dfrac{6c+30}{6c}=\dfrac{c+5}{c}\).

Ответ: а) \(\dfrac12\); б) \(\dfrac b2\); в) \(\dfrac{5y-16}{10y}\); г) \(\dfrac{c+5}{c}\).