bài 1:
a: \(\dfrac{-7}{27}+\dfrac{-8}{27}=\dfrac{\left(-7\right)+\left(-8\right)}{27}=-\dfrac{15}{27}=-\dfrac{5}{9}\)
b: \(\dfrac{1}{2}+\dfrac{13}{19}-\dfrac{4}{9}+\dfrac{6}{19}+\dfrac{5}{18}\)
\(=\left(\dfrac{1}{2}-\dfrac{4}{9}+\dfrac{5}{18}\right)+\left(\dfrac{13}{19}+\dfrac{6}{19}\right)\)
\(=\dfrac{9}{18}-\dfrac{8}{18}+\dfrac{5}{18}+1=1+\dfrac{1}{3}=\dfrac{4}{3}\)
c: \(\left(\dfrac{23}{41}-\dfrac{15}{82}\right):\dfrac{15}{41}\)
\(=\dfrac{23\cdot2-15}{82}\cdot\dfrac{41}{15}\)
\(=\dfrac{31}{2}\cdot\dfrac{1}{15}=\dfrac{31}{30}\)
bài 2:
a: \(4\dfrac{1}{3}=\dfrac{13}{3}\)
\(-\dfrac{13}{3}=-\dfrac{39}{9}< -\dfrac{8}{9}\)
mà \(-\dfrac{8}{9}< 0< \dfrac{13}{3}=4\dfrac{1}{3}\)
nên \(4\dfrac{1}{3}>0>-\dfrac{8}{9}>-\dfrac{13}{3}\)
b: -3,39<0
0<1,82<4,77<5,83
Do đó: -3,39<1,82<4,77<5,83
=>5,83>4,77>1,82>-3,39