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a; \(\dfrac{17}{76}\) < 1
\(\dfrac{84}{83}\) > 1
\(\dfrac{17}{76}\) < 1 < \(\dfrac{84}{83}\)
Vậy \(\dfrac{17}{76}\) < \(\dfrac{84}{83}\)
b; \(\dfrac{12}{47}\) > \(\dfrac{12}{48}\) = \(\dfrac{1}{4}\)
\(\dfrac{19}{77}\) < \(\dfrac{19}{76}\) = \(\dfrac{1}{4}\)
\(\dfrac{12}{47}\) > \(\dfrac{1}{4}\) > \(\dfrac{19}{77}\)
Vậy \(\dfrac{12}{47}\) > \(\dfrac{19}{77}\)
a) \(\dfrac{43}{47}=\dfrac{47-4}{47}=\dfrac{47}{47}-\dfrac{4}{47}=1-\dfrac{4}{47}\)
\(\dfrac{53}{57}=\dfrac{57-4}{57}=\dfrac{57}{57}-\dfrac{4}{57}=1-\dfrac{4}{57}\)
Vì \(\dfrac{4}{47}>\dfrac{4}{57}\)=>\(1-\dfrac{4}{47}< 1-\dfrac{4}{57}\)
=>\(\dfrac{43}{47}< \dfrac{53}{57}\)
b) Ta chọn phân số trung gian là: \(\dfrac{64}{81}\)
Vì \(\dfrac{64}{81}>\dfrac{64}{85}\)
Mà \(\dfrac{64}{81}< \dfrac{73}{81}\)
=> \(\dfrac{64}{85}< \dfrac{64}{81}< \dfrac{73}{81}\)
Vậy \(\dfrac{64}{85}< \dfrac{73}{81}\)
c) Ta chọn phân số trung gian là: \(\dfrac{18}{37}\)
Vì \(\dfrac{18}{37}>\dfrac{15}{37}\)
Mà \(\dfrac{18}{37}< \dfrac{18}{31}\)
=> \(\dfrac{15}{37}< \dfrac{18}{37}< \dfrac{18}{31}\)
Vậy \(\dfrac{18}{31}>\dfrac{15}{37}\)
92 + 71 + 108 = (92 + 108) + 71 = 200 + 71 = 271
32 x 47 + 53 x 47 + 47 x 15 = 47(32 + 53 + 15)
= 47.100
= 4700
90 x 143 - 43 x 90 = 90.(143 - 43) = 90.100 = 9000
(1200 + 60) : 12 = 1800 : 12 = 150
2 x 18 x 24 + 3 x 50 x 16 + 12 x 32 x 4 = 18.(2.24) + 50.(3.16) + 32.(12.4) = 18.48 + 50.48 + 32.48 = 48(18 + 50 + 32) = 48.100 = 4800
A)ta thấy:
1-\(\dfrac{47}{57}\)=\(\dfrac{10}{57}\)
1-\(\dfrac{66}{76}\)=\(\dfrac{10}{76}\)
vì \(\dfrac{10}{57}\)>\(\dfrac{10}{76}\) nên \(\dfrac{47}{57}\)<\(\dfrac{66}{76}\)