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<1/25+1/25+...+1/25+1/40+1/40+1/40+...+1/40
=1/25.15+1/40.15=15/25+15/40=3/5+3/8=39/40
đặt vế trái là A ta có A<1/25.16+1/45.14=214/225=1-11/225 39/40=1-1/40 ta có 1.225<11.40=>1/40<11/225=>1-1/40>1-11/225=>214/225<39/40 mà A<214/225=>A<39/40(đpcm nhớ k cho mk nha
\(a.17+26:2\\ =17+13\\ =30\\ b.300:\left[130-6\left(45-40\right)\right]\\ =300:\left[130-6.5\right]\\ =300:\left[130-30\right]\\ =300:100\\ =3\\ c.\left(-15\right).\left(-2\right)\\ =15.2\\ =30\\ d.\left(-27\right).36+54.\left(-27\right)\\ =\left(-27\right)\left(36+54\right)\\ =\left(-27\right).90\\ =-2430\)
a) 17+14=31
b) 300:[130-6.5)
300:[130-30]
300:100
3
c)30
d)(36+54).(-27)
=90.(-27)
=-2430
Bài 1 :
a) \(\dfrac{42}{43}=1-\dfrac{1}{43}\)
\(\dfrac{58}{59}=1-\dfrac{1}{59}\)
Mà \(\dfrac{1}{43}>\dfrac{1}{59}\Leftrightarrow\dfrac{42}{43}< \dfrac{58}{59}\)
b) \(\dfrac{18}{31}>\dfrac{15}{31}>\dfrac{15}{37}\)
\(\Leftrightarrow\dfrac{18}{31}>\dfrac{15}{37}\)
c) \(\dfrac{53}{57}=1-\dfrac{4}{57}\)
\(\dfrac{531}{517}=1-\dfrac{40}{517}\)
Mà \(\dfrac{4}{57}=\dfrac{40}{570}>\dfrac{40}{517}\)
\(\Leftrightarrow\dfrac{53}{57}< \dfrac{531}{517}\)
Ta có : 1/25 + 1/26 + 1/27 +.....+1/39 < 1/25 + 1/25 + .....+1/25 = 15/25 = 3/5
1/40+1/41 +.....+1/54 < 1/40 + 1/40 +....+1/40 = 15/40 = 3/8
=> A = 1/25 + 1/26 + 1/27 +.......+1/54 < 3/5 + 3/8 = 39/40
=> A < 39/40 (đpcm)