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ta cos:
119/120=1-1/120
118/119=1-1/119
mà: 119<120
nên: 119/120>118/119
Ta có : \(1-\frac{119}{120}=\frac{1}{120}\)
\(1-\frac{118}{119}=\frac{1}{119}\)
mà 119 < 120
\(\Rightarrow\frac{1}{120}< \frac{1}{119}\)
\(\Rightarrow1-\frac{1}{120}>1-\frac{1}{119}\)
\(\Rightarrow\frac{119}{120}>\frac{118}{119}\)
vậy.....
a)Ta có: \(\frac{1313}{1515}< \frac{1313}{1428}< \frac{1326}{1428}\Rightarrow\frac{1313}{1515}< \frac{1326}{1428}\)
b)Ta có: \(1-\frac{119}{120}=\frac{1}{120}< 1-\frac{118}{119}=\frac{1}{119}\Rightarrow\frac{119}{120}>\frac{118}{119}\)
c)Ta có: \(\frac{222}{555}< \frac{222}{444}< \frac{333}{444}\Rightarrow\frac{222}{555}< \frac{333}{444}\)
Trả lời
\(\frac{57-x}{57}=\frac{14}{25}\)
\(\Leftrightarrow25\times\left(57-x\right)=57\times14\)
\(\Leftrightarrow1425-25x=798\)
\(\Leftrightarrow25x=627\)
\(\Leftrightarrow x=\frac{627}{25}\)
Vậy \(x=\frac{627}{25}\)
Bài làm:
\(\frac{57-x}{57}=\frac{14}{25}\)
\(1-\frac{x}{57}=\frac{14}{25}\)
\(\frac{x}{57}=\frac{11}{25}\)
\(25x=627\)
\(x=\frac{627}{25}\)
\(\frac{48}{96}=\frac{48:48}{96:48}=\frac{1}{2}\)
\(\frac{42}{98}=\frac{42:14}{98:14}=\frac{3}{7}\)
\(\frac{80}{240}=\frac{80:80}{240:80}=\frac{1}{3}\)
\(\frac{75}{100}=\frac{75:25}{100:25}=\frac{3}{4}\)
\(\frac{64}{720}=\frac{64:16}{720:16}=\frac{4}{45}\)
\(\frac{15}{120}=\frac{15:15}{120:15}=\frac{1}{8}\)
48/96=1/2
42/98=3/7
80/240=1/3
75/100=3/4
64/720=4/45
15/120=1/8
\(\dfrac{555}{1110};\dfrac{333}{444};\dfrac{444}{555};\dfrac{118}{119};\dfrac{119}{120}\)
\(\dfrac{444}{555}\) = \(\dfrac{444:111}{555:111}\) = \(\dfrac{4}{5}\) = 1 - \(\dfrac{1}{5}\)
\(\dfrac{333}{444}\) = \(\dfrac{333:111}{444:111}\) = \(\dfrac{3}{4}\) = 1 - \(\dfrac{1}{4}\)
\(\dfrac{118}{119}\) = 1 - \(\dfrac{1}{119}\)
\(\dfrac{119}{120}\) = 1 - \(\dfrac{1}{120}\)
\(\dfrac{555}{1110}\) = \(\dfrac{555:555}{1110:555}\) = \(\dfrac{1}{2}\) = 1 - \(\dfrac{1}{2}\)
Vì : \(\dfrac{1}{2}>\dfrac{1}{3}>\dfrac{1}{4}>\) \(\dfrac{1}{119}\) > \(\dfrac{1}{120}\)
nên \(\dfrac{555}{1110}>\dfrac{333}{444}>\)\(\dfrac{444}{555}\) > \(\dfrac{118}{119}\) > \(\dfrac{119}{120}\)
Vậy Các phân số đã cho được sắp xếp theo thứ tự từ bé đến lớn là:
\(\dfrac{555}{1110}\); \(\dfrac{333}{444}\); \(\dfrac{444}{555}\); \(\dfrac{118}{119}\); \(\dfrac{119}{120}\)
\(\hept{\begin{cases}\frac{21}{23}=1-\frac{2}{23}\\\frac{57}{59}=1-\frac{2}{59}\end{cases}}\)
\(\frac{2}{23}>\frac{2}{59}\Rightarrow\frac{21}{23}< \frac{57}{59}\)(1)
\(\hept{\begin{cases}\frac{12}{37}< \frac{12}{36}=\frac{1}{3}\\\frac{3}{8}>\frac{3}{9}=\frac{1}{3}\end{cases}}\Rightarrow\frac{12}{37}< \frac{3}{8}\) (2)
(1), (2) \(\Rightarrow M< N\)
=-641/120
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