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phân số thứ nhất =16/11
phân số thứ hai = -5/9
phân số thứ ba = 10/77
![](https://rs.olm.vn/images/avt/0.png?1311)
a: \(\dfrac{4\cdot5+4\cdot11}{8\cdot7+4\cdot3}=\dfrac{4\cdot16}{4\left(2\cdot7+3\right)}=\dfrac{16}{17}=\dfrac{11088}{11781}\)
\(\dfrac{-15\cdot8+10\cdot7}{5\cdot6+20\cdot3}=\dfrac{-120+170}{30+60}=\dfrac{50}{90}=\dfrac{5}{9}=\dfrac{6545}{11781}\)
\(\dfrac{2^4\cdot5^2\cdot7}{2^3\cdot5\cdot7^2\cdot11}=2\cdot5\cdot\dfrac{1}{77}=\dfrac{10}{77}=\dfrac{1530}{11781}\)
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TL:
\(\frac{4.5+4.11}{4.3-8.7}=\frac{20+44}{12-56}=\frac{64}{-44}=-\frac{16}{1}=-16\)
\(\frac{4^6.3^4.9^5}{6^{12}.15}=\frac{2^{12}.3^{14}}{2^{12}.3^{13.5}}=\frac{3}{5}\)
Học tốt
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\(-\frac{20+44}{56-12}=\frac{-64}{44}=\)\(\frac{-16}{11}\)
\(\frac{-120+70}{30+60}\)=\(\frac{-5}{9}\)
Ta có \(\frac{-16}{11}< \frac{-11}{11}=-1\)
\(\frac{-5}{9}>\frac{-9}{9}=-1\)
nên \(\frac{-5}{9}>-1>\frac{-16}{11}\)
Vậy \(\frac{-5}{9}>\frac{-16}{11}\)
tự kết luận nhé
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\text{Ta có :}\)\(-\frac{4.5+4.11}{8.7-4.3}=\frac{-4\left(5+11\right)}{4\left(2.7-3\right)}=\frac{-16}{24}=\frac{-4}{6}\)
\(\frac{-15.8+10.7}{5.6+20.3}=\frac{-5\left(3.8-2.7\right)}{5.\left(6+2.3\right)}=\frac{-10}{12}=\frac{-5}{6}\)
\(\text{Vì:}\)\(-\frac{4}{6}>\frac{-5}{6}\left(-4>-5\right)\)
\(\text{Nên :}\)\(-\frac{4.5+4.11}{8.7-4.3}>\)\(\frac{-15.8+10.7}{5.6+20.3}\)
\(-\frac{4.5+4.11}{8.7-4.3}=-\frac{4.\left(5+11\right)}{4.\left(14-3\right)}=-\frac{4.16}{4.11}=\frac{-16}{11}\)
\(\frac{-15.8+10.7}{5.6+20.3}=\frac{\left(-5\right).3.8+5.2.7}{5.2.3+2.2.5.3}=\frac{5.\left(-3.8+2.7\right)}{5.2.3.\left(1+2\right)}\)
\(=\frac{5.\left(-10\right)}{5.2.3.3}=\frac{-5}{9}\)
\(\frac{-5}{9}>\frac{-16}{11}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
A=\(\dfrac{4.5+4.11}{8.7-4.3}=\dfrac{4.\left(5+11\right)}{56-12}=\dfrac{4.16}{44}\dfrac{1.16}{11}=\dfrac{16}{11}\)
Câu B chỉ cần phân tích số 6 và 20 ở dưới mẫu thành 6=3.2, 20=4.5 rồi bn cứ thế mà tiếp tục!
![](https://rs.olm.vn/images/avt/0.png?1311)
a: \(\dfrac{4\cdot5+4\cdot11}{8\cdot7+4\cdot3}=\dfrac{20+44}{56+12}=\dfrac{64}{68}=\dfrac{16}{17}=\dfrac{11088}{11781}\)
\(\dfrac{-15\cdot8+10\cdot7}{5\cdot6+20\cdot3}=\dfrac{-120+70}{30+60}=\dfrac{-50}{90}=\dfrac{-5}{9}=\dfrac{-6545}{11781}\)
\(\dfrac{2^4\cdot5^2\cdot7}{2^3\cdot5\cdot7^2\cdot11}=\dfrac{2\cdot5}{7\cdot11}=\dfrac{10}{77}=\dfrac{1530}{11781}\)
\(\frac{-16}{11}\)tick na
tick minh nhe