Thực hiện phép tính (Tính hợp lý nếu có thể).
a) $\dfrac{11}{24}-\dfrac{5}{41}+\dfrac{13}{24}+0,5-\dfrac{36}{41}$.
b) $\dfrac{1}{2} \cdot \dfrac{3}{4}+\dfrac{1}{2} \cdot \dfrac{1}{4}+\dfrac{1}{2}$.
c) $\Big(\dfrac{-3}{4}\Big)^2:\Big(\dfrac{-1}{4}\Big)^2+9 \cdot\Big(\dfrac{-1}{9}\Big)+\Big( \dfrac{-3}{2} \Big)$.
d) $\sqrt{0,25} \cdot(-3)^3-\sqrt{\dfrac{1}{81}}:\Big(\dfrac{-1}{3}\Big)^3$.
a) 11/24 - 5/41 + 13/24 + 0,5 - 36/41
= (11/24 + 13/24) - (5/41 + 36/41) + 0,5
= 1 - 1 + 0,5
= 0,5
b) 1/2 . 3/4 + 1/2 . 1/4 + 1/2
= 1/2 . (3/4 + 1/4) + 1/2
= 1/2 . 1 + 1/2
= 1/2 + 1/2
= 1
c) (-3/4)² : (-1/4)² + 9 . (-1/9) + (-3/2)
= 9/16 : 1/16 - 1 - 3/2
= 9 - 1 - 3/2
= 8 - 3/2
= 13/2
d) √0,25 . (-3)³ - √(1/81) : (-1/3)³
= 1/2 . (-27) - 1/9 : (-1/27)
= -27/2 + 3
= -21/2