so sánh 1111/1212 và 1515/1616. ghi cả lời giải giúp mình nha
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\(\frac{2323+1313+1414+1515+1616}{4141+2222+2323+2424+2525}\)
=\(\frac{8181}{13635}\)
A = \(\dfrac{1414+1515+1616+1717+1818+1919}{2020+2121+2022+2323+2424+2525}\)
A = \(\dfrac{101\times\left(14+15+16+17+18+19\right)}{101\times\left(20+21+22+23+24+25\right)}\)
A = \(\dfrac{99}{135}\)
A = \(\dfrac{11}{15}\)
\(\frac{12}{15}\) giữ nguyên
\(\frac{1212}{1515}=\frac{12.101}{15.101}=\frac{12}{15}\)
\(\Rightarrow\frac{12}{15}=\frac{1212}{1515}\)
TA CÓ:
\(\frac{1212}{1515}=\frac{12.101}{15.101}=\frac{12}{15}\)
DỄ THẤY 2 BIIỂU THỨC BẰNG NHAU
\(\Rightarrow\frac{12}{15}=\frac{1212}{1515}\)
a. \(\frac{26}{42}< \frac{56}{78}\)
b.\(\frac{58}{89}< \frac{36}{53}\)
c.\(\frac{1530}{1632}>\frac{1414}{1515}\)
d.\(\frac{-373737}{515151}>\frac{-1111}{1212}\)
k cho mk nha!!!!
1212/1515=1212:101/1515:101=12/15
Nên hai phân số bằng nhau
\(\dfrac{1111}{1212}\) và \(\dfrac{1515}{1616}\)
\(\dfrac{1111}{1212}=\dfrac{1111\times1616}{1212\times1616}=\dfrac{1795376}{1958592}\)
\(\dfrac{1515}{1616}=\dfrac{1515\times1212}{1616\times1212}=\dfrac{1836180}{1958592}\)
Vì: 1836180 > 1795376
=> \(\dfrac{1111}{1212}< \dfrac{1515}{1616}\)
\(\dfrac{1111}{1212}\) = \(\dfrac{1111:101}{1212:101}\) = \(\dfrac{11}{12}\)= 1 - \(\dfrac{1}{12}\) ; \(\dfrac{1515}{1616}\) =\(\dfrac{1515:101}{1616:101}\) = \(\dfrac{15}{16}\) = 1 -\(\dfrac{1}{16}\)
Vì \(\dfrac{1}{12}\) > \(\dfrac{1}{16}\) nên \(\dfrac{1111}{1212}\) < \(\dfrac{1515}{1616}\)