a] không quy đồng phân, so sánh hai phân số 6/5 và 99/100
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![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài 10:
A. Ta có:
\(\dfrac{99}{100}< 1\) ; \(\dfrac{9}{8}>1\)
Nên \(\dfrac{99}{100}< \dfrac{9}{8}\)
B. \(\dfrac{7}{12}< \dfrac{7}{8}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài 1
\(\left(1-\dfrac{1}{99}\right)\times\left(1-\dfrac{1}{100}\right)\times...\times\left(1-\dfrac{1}{2006}\right)\)
\(=\dfrac{98}{99}\times\dfrac{99}{100}\times...\times\dfrac{2005}{2006}\)
\(=\dfrac{98}{2006}\)
\(=\dfrac{49}{1003}\)
Bài 2
\(\dfrac{111}{333}=\dfrac{111:111}{333:111}=\dfrac{1}{3}\)
\(\dfrac{2222}{4444}=\dfrac{2222:2222}{4444:2222}=\dfrac{1}{2}\)
Do \(3>2\Rightarrow\dfrac{1}{3}< \dfrac{1}{2}\)
Vậy \(\dfrac{111}{333}< \dfrac{2222}{4444}\)
Bài 1.
\(\left(1-\dfrac{1}{99}\right)\times\left(1-\dfrac{1}{100}\right)\times...\times\left(1-\dfrac{1}{2006}\right)\)
\(=\dfrac{98}{99}\times\dfrac{99}{100}\times...\times\dfrac{2005}{2006}\)
\(=\dfrac{98\times99\times...\times2005}{99\times100\times...2006}\)
\(=\dfrac{98}{2006}\)
\(=\dfrac{49}{1003}\)
Bài 2.
Có: \(\dfrac{111}{333}=\dfrac{111}{3\times111}=\dfrac{1}{3}\)
\(\dfrac{2222}{4444}=\dfrac{2222}{2\times2222}=\dfrac{1}{2}\)
Vì \(\dfrac{1}{3}< \dfrac{1}{2}\) nên \(\dfrac{111}{333}< \dfrac{2222}{4444}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Tham khảo
a, 5<6 => 5/7 < 6/7
b, 17/13 > 1 45/52< 1 => 45/52 < 17/13
c, 8/7 > 1 7/8< 1 => 7/8 >< 8/7
d, 9/5 > 1 5/8 < 1 => 9/5 > 5/8
![](https://rs.olm.vn/images/avt/0.png?1311)
+)
\(\frac{2}{3}=0,\left(6\right)\)
\(\frac{3}{4}=0,75\)
vi \(0,\left(6\right)< 0,75\) nen \(\frac{2}{3}< \frac{3}{4}\)
+) \(\frac{5}{6}=0,8\left(3\right)\)
\(\frac{6}{7}=0,85714\)
vi \(0,8\left(3\right)< 0,85714\) nen \(\frac{5}{6}< \frac{6}{7}\)
a ) \(\frac{2}{3}\)và \(\frac{3}{4}\)
Ta có : \(1-\frac{2}{3}=\frac{1}{3}\)và \(1-\frac{3}{4}=\frac{1}{4}\)
Vì : \(\frac{1}{3}>\frac{1}{4}\)
Nên : \(\frac{2}{3}< \frac{3}{4}\)
b ) \(\frac{5}{6}\)và \(\frac{6}{7}\)
Ta có : \(1-\frac{5}{6}=\frac{1}{6}\)và \(1-\frac{6}{7}=\frac{1}{7}\)
Vì : \(\frac{1}{6}>\frac{1}{7}\)
Nên : \(\frac{5}{6}< \frac{6}{7}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
ta có 2/6=8/24
5/8=15/24
vậy ta có 15/24>8/24 nên 5/8>2/6
\(\frac{2}{6}=\frac{2.8}{6.8}=\frac{16}{48}\)
\(\frac{5}{8}=\frac{5.6}{8.6}=\frac{30}{48}\)
Vì \(\frac{16}{48}< \frac{30}{48}\) nên \(\frac{2}{6}< \frac{5}{8}\)
Tk cho mk nha
![](https://rs.olm.vn/images/avt/0.png?1311)
97/100=1-3/100
119/122=1-3/122
mà 3/100>3/122
nên 97/100<119/122
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có :
`1-12/13 = 1/13`
`1-13/14=1/14`
`-> 1 xx 14 > 1xx 13`
`-> 1/13 > 1/14`
Vậy `12/13 > 13/14`
![](https://rs.olm.vn/images/avt/0.png?1311)
3/4 va 4/5
Quy dong len mau 20
15/20 va 16/20
15<16
Suy ra 15/20<16/20
3/4<4/5
b)5/8 va 4/9
Quy ddong len 72
40/72 va 32/72
40>32
40/72>32/72
Suy ra :5/8>4/9
vì 6/5>1 còn 99/100<1 nên 6/5>99/100
6/5 > 1
99/100 < 1
6/5 > 99/100
nhớ tick nha