so sánh: \(\dfrac{13}{38}và\dfrac{-12}{-37}\)
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c) \(\dfrac{27}{26}\)và\(\dfrac{38}{37}\)
Ta có: \(\dfrac{27}{26}=1+\dfrac{1}{26}\); \(\dfrac{38}{37}=1+\dfrac{1}{37}\)
Vì \(\dfrac{1}{26}>\dfrac{1}{37}\) nên \(\dfrac{27}{26}>\dfrac{38}{37}\)
c: \(\dfrac{27}{26}-1=\dfrac{1}{26}\)
\(\dfrac{38}{37}-1=\dfrac{1}{37}\)
mà \(\dfrac{1}{26}>\dfrac{1}{37}\)
nên \(\dfrac{27}{26}>\dfrac{38}{37}\)
Bài 1:
\(\dfrac{-13}{38}\) và \(\dfrac{29}{-88}\)
\(\dfrac{-13}{38}=\dfrac{-13.29}{38.29}=\dfrac{-377}{1102}\)
\(\dfrac{29}{-88}=\dfrac{-29}{88}=\dfrac{-29.13}{88.13}=\dfrac{-377}{1144}\)
Vì \(\dfrac{-377}{1102}< \dfrac{-377}{1144}\) nên \(\dfrac{-13}{38}< \dfrac{29}{-88}\)
\(\dfrac{-18}{31}\) và \(\dfrac{-1818}{3131}\)
\(\dfrac{-18}{31}\)
\(\dfrac{-1818}{3131}=\dfrac{-1818:101}{3131:101}=\dfrac{-18}{31}\)
Vì \(\dfrac{-18}{31}=\dfrac{-18}{31}\) nên \(\dfrac{-18}{31}=\dfrac{-1818}{3131}\)
Bài 2:
a) \(\dfrac{-1}{39}+\dfrac{-1}{52}=\dfrac{-4}{156}+\dfrac{-3}{156}=\dfrac{-4+-3}{156}=\dfrac{-7}{156}\)
b) \(\dfrac{-6}{9}+\dfrac{-12}{16}=\dfrac{-2}{3}+\dfrac{-3}{4}=\dfrac{-8}{12}+\dfrac{-9}{12}=\dfrac{-17}{12}\)
Dùng phương pháp tính phần bù:
Ta có:
\(1-\frac{13}{38}=\frac{25}{38}\)
\(1-\frac{12}{37}=\frac{25}{37}\)
\(\frac{25}{38}< \frac{25}{37}\Rightarrow\frac{13}{38}>\frac{12}{37}\)
12/37 và 13/38
cs: 12/37=37-25/ 37=1-25/37
13/38=38-25/ 38=1-25/38
Mà 25/37>25/38
=>1-25/38< 1-25/38
=> -12/-37 < 13/38
-12/-37 và 13/38 MSC:1406
\(\frac{-12}{-37}=\frac{12}{37}=\frac{12.38}{37.38}=\frac{456}{1406};\frac{13}{38}=\frac{13.37}{38.37}=\frac{481}{1406}\)
Vì \(\frac{456}{1406}< \frac{481}{1406}\)
=> \(\frac{-12}{-37}< \frac{13}{38}\)
Chúc bạn học tốt!
\(\frac{12}{37}=0,3243...,\frac{13}{38}=0,3421...\)
=> \(\frac{12}{37}<\frac{13}{38}\)
ta có: \(\dfrac{13}{38}\)=\(\dfrac{481}{1406}\)
\(^{\dfrac{-12}{-37}}\)=\(\dfrac{12}{37}\)=\(\dfrac{456}{1406}\)
vì \(\dfrac{481}{1406}\)>\(\dfrac{456}{1406}\)
\(\Rightarrow\dfrac{13}{38}>\dfrac{-12}{-37}\)
\(\dfrac{-12}{-37}=\dfrac{12}{37}\)
\(\left\{{}\begin{matrix}1-\dfrac{13}{38}=\dfrac{25}{38}\\1-\dfrac{12}{37}=\dfrac{25}{37}\end{matrix}\right.\)
Vì \(\dfrac{25}{38}< \dfrac{25}{37}\Rightarrow\dfrac{13}{38}>\dfrac{12}{37}\)
\(\Leftrightarrow\dfrac{13}{38}>\dfrac{-12}{-37}\)