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1) (1-3/4 + 2/7) - ( 1/4 - 2/5 - 1)
= 1 - 3/4 + 2/7 - 1/4 + 2/5 + 1
= (1 - 3/4 - 1/4) + (2/7 + 2/5 +1)
= 0 + 59/35
= 59/35
2) -3/5 * 7/8 + (-3)/8 * 13/5
= -3*7/5*8 + -3*13/8*5
= -3/8 * 7/5 + -3/8 * 13/5
= -3/8 * (7/5 + 13/5)
= -3/8 * 4
= -3/2
3) -3/4 * 3/7 - 12/7 * 1/4 + 3/4 * (-9)/7
= 3/4 * -3/7 - 3*4/7 * 1/4 + 3/4 * (-9)/7
= 3/4 * -3/7 - 3/4 * 4/7 + 3/4 * -9/7
= 3/4 * (-3/7 - 4/7 - 9/7)
= 3/4 * -16/7
= -12/7
5) 1/3 - 3/4 + 3/5+ 1/57 -1/36 + 1/15 - 2/9
= (1/3 - 3/4 - 1/36 - 2/9) + (3/5 + 1/15) + 1/57
= (12/36 - 27/36 - 1/36 - 8/36) + (9/15 + 1/15) + 1/57
= -2/3 + 2/3 + 1/57
= 0 + 1/57
= 1/57
6) 0,5 + 1/3 - 0,4 - 5/7 + 1/6 + 4/35 + 1/41
= 1/2 + 1/3 - 2/5 - 5/7 + 1/6 + 4/35 + 1/41
= (1/2 + 1/3 + 1/6) + (4/35 - 2/5 - 5/7) + 1/41
= (3/6 + 2/6 + 1/6) + (4/35 - 14/35 - 25/35) + 1/41
= 1 + (-1) + 1/41
= 0 + 1/41
=1/41
Chúc bạn học tốt!
5) 125. (−8). (−25). 9.4.1000 : 3
=[125.(-8)].[(-25).4].(9:3).1000
=-1000.(-100).3.1000
=100000.3.1000
=300000.1000
=300000000
6) (−2)3 . 13.125
=-8.13.125
=(-8.125).13
=-1000.13
=-13000
7) 17. (38 − 5) − 38. (17 − 1)
=17 . 33 - 38 . 16
=561-608
=-47
8) (−41). 135 + 135. (−58) − 135
=(-41).135+135.(-58)+135.(-1)
=135.[-41+(-58)+(-1)]
=135.(-100)
=-13500
\(\dfrac{1}{2}-\dfrac{1}{5}+\dfrac{-5}{7}+\dfrac{1}{6}-\dfrac{3}{35}+\dfrac{1}{3}-\dfrac{-1}{41}\)
\(=\left(\dfrac{1}{2}+\dfrac{1}{3}+\dfrac{1}{6}\right)+\left(-\dfrac{1}{5}-\dfrac{5}{7}-\dfrac{3}{35}\right)+\dfrac{1}{41}\)
\(=\dfrac{3+2+1}{6}+\dfrac{-7-25-3}{35}+\dfrac{1}{41}\)
\(=\dfrac{6}{6}+\dfrac{-35}{35}+\dfrac{1}{41}=\dfrac{1}{41}\)