ghi đáp án thôi nhé \(\frac{-5}{9}\)

phân số thứ nhất =16/11

phân số thứ hai = -5/9

phân số thứ ba = 10/77

a: \(\dfrac{4\cdot5+4\cdot11}{8\cdot7+4\cdot3}=\dfrac{4\cdot16}{4\left(2\cdot7+3\right)}=\dfrac{16}{17}=\dfrac{11088}{11781}\)

\(\dfrac{-15\cdot8+10\cdot7}{5\cdot6+20\cdot3}=\dfrac{-120+170}{30+60}=\dfrac{50}{90}=\dfrac{5}{9}=\dfrac{6545}{11781}\)

\(\dfrac{2^4\cdot5^2\cdot7}{2^3\cdot5\cdot7^2\cdot11}=2\cdot5\cdot\dfrac{1}{77}=\dfrac{10}{77}=\dfrac{1530}{11781}\)

2^8.6^2.3^4/2^12.3^8

= 2^8.2^2.3^2.3^4/2^12.3^8

= 2^10.3^6/2^12.3^8

= 1/2^2.3^2

= 1/36

Tk mk nha

\(\text{Ta có :}\)\(-\frac{4.5+4.11}{8.7-4.3}=\frac{-4\left(5+11\right)}{4\left(2.7-3\right)}=\frac{-16}{24}=\frac{-4}{6}\)

\(\frac{-15.8+10.7}{5.6+20.3}=\frac{-5\left(3.8-2.7\right)}{5.\left(6+2.3\right)}=\frac{-10}{12}=\frac{-5}{6}\)

\(\text{Vì:}\)\(-\frac{4}{6}>\frac{-5}{6}\left(-4>-5\right)\)

\(\text{Nên :}\)\(-\frac{4.5+4.11}{8.7-4.3}>\)\(\frac{-15.8+10.7}{5.6+20.3}\)

\(-\frac{4.5+4.11}{8.7-4.3}=-\frac{4.\left(5+11\right)}{4.\left(14-3\right)}=-\frac{4.16}{4.11}=\frac{-16}{11}\)

\(\frac{-15.8+10.7}{5.6+20.3}=\frac{\left(-5\right).3.8+5.2.7}{5.2.3+2.2.5.3}=\frac{5.\left(-3.8+2.7\right)}{5.2.3.\left(1+2\right)}\)

\(=\frac{5.\left(-10\right)}{5.2.3.3}=\frac{-5}{9}\)

\(\frac{-5}{9}>\frac{-16}{11}\)

b)\(\frac{-15.8+10.7}{5.6+20.3}=\frac{-15.8+10.7}{5.2.3+5.4.3}=\frac{-90+70}{5.3.\left(2+4\right)}=\frac{-20}{90}=-\frac{2}{9}\)

\(\frac{2^4.5^2.7}{2^3.5.7^2.11}=\frac{2.5.1}{1.1.7.11}=\frac{10}{77}\)

MSC:77.9=693

\(\frac{-2}{9}=\frac{-2.693}{9.693}=\frac{-1386}{6237}\)

\(\frac{10}{77}=\frac{10.693}{77.693}=\frac{6930}{53361}\)

a) \(\frac{4.5+4.11}{8.7+4.3}=\frac{4.\left(5+11\right)}{56+12}=\frac{4.16}{68}=\frac{64}{68}=\frac{16}{17}.\)

Mình chỉ làm câu a) thôi nhé.

Chúc bạn học tốt!

\(-\frac{20+44}{56-12}=\frac{-64}{44}=\)\(\frac{-16}{11}\)

\(\frac{-120+70}{30+60}\)=\(\frac{-5}{9}\)

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