So sánh phân số sau bằng cách nhanh nhất :
1313/3737 và 1717/4141
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\(\dfrac{1313}{1717}=\dfrac{101x13}{101x17}=\dfrac{13}{17}\)
\(\dfrac{131313}{171717}=\dfrac{10101x13}{10101x17}=\dfrac{13}{17}\)
Vậy \(\dfrac{1313}{1717}=\dfrac{131317}{171717}\)
\(\dfrac{1313}{1717}và\dfrac{131313}{171717}\\ \dfrac{1313}{1717}=\dfrac{13}{17}\\ \dfrac{131313}{171717}=\dfrac{13}{17}\\ \Rightarrow\dfrac{1313}{1717}=\dfrac{131313}{171717}\)
Ta có : \(\frac{1717}{808}\)= \(\frac{17}{8}\)= \(\frac{119}{56}\)và \(\frac{1313}{707}\)=\(\frac{13}{7}\)=\(\frac{104}{56}\)
Vậy \(\frac{1717}{808}\)=\(\frac{1313}{707}\)
\(\dfrac{121212}{131313}=\dfrac{121212:10101}{131313:10101}=\dfrac{12}{13}=1-\dfrac{1}{13}\)
\(\dfrac{1313}{1414}=\dfrac{1313:101}{1414:101}=\dfrac{13}{14}=1-\dfrac{1}{14}\)
Vì \(\dfrac{1}{13}>\dfrac{1}{14}\) nên \(\dfrac{12}{13}< \dfrac{13}{14}\) hay \(\dfrac{1212}{1313}< \dfrac{1313}{1414}\)
b) \(\dfrac{1717}{2525}=\dfrac{1717:101}{2525:101}=\dfrac{17}{25}=\dfrac{51}{75}\)
\(\dfrac{515151}{727272}=\dfrac{515151:10101}{727272:10101}=\dfrac{51}{72}\)
Vì \(\dfrac{51}{75}< \dfrac{51}{72}\) nên \(\dfrac{17}{25}< \dfrac{51}{72}\) hay \(\dfrac{1717}{2525}< \dfrac{515151}{727272}\)
a) \(\dfrac{1212}{1313}=\dfrac{101x12}{101x13}=\dfrac{12}{13}< \dfrac{12+1}{13+1}=\dfrac{13}{14}\)
\(\dfrac{1313}{1414}=\dfrac{101x13}{101x14}=\dfrac{13}{14}\)
Vậy \(\dfrac{1212}{1313}< \dfrac{1313}{1414}\)
Làm tương tự câu b
a)\(\frac{1313}{1515}=\frac{13\times101}{15\times101}=\frac{13}{15}\)
\(\frac{1326}{1428}=\frac{1326:102}{1428:102}=\frac{13}{14}\)
DO \(\frac{13}{14}>\frac{13.}{15}\) nên \(\frac{1326}{1428}>\frac{1313}{1515}\)
\(b\))\(\frac{222}{555}\) và \(\frac{333}{444}\)
\(\frac{222}{555}=\frac{2\times111}{5\times111}=\frac{2}{5}\)
\(\frac{333}{444}=\frac{3\times111}{4\times111}=\frac{3}{4}\)
DO \(\frac{2}{5}< \frac{3}{4}\) nên \(\frac{222}{555}< \frac{333}{444}\)
A)1212/1313<1313/1414.B)1717/2525<515151/727272.23/28,7/9,5/7,11/18
Ta có 1212/1313= 12/13
=> 1212/1313 =12/13
25/53=25*101/53*101=2525/5353
25/53=25*1001/53*10101=252525/535353
=)25/53=2525/5353=252525/535353
y b) tuong tu nhe
duyet nha
1313/3737 rút gọn thành 13/37
13/37=0,(351)
1717/4141 rút gọn thành 17/41
17/41=0,(41463)
vì 0,(351)<0,(41463) suy ra 13/37<17/41