6:(-27)=(\(-6\dfrac{1}{2}\))\(:29\dfrac{1}{4}\)

\(\Leftrightarrow\)6:(-27)=\(\left(-\dfrac{13}{2}\right):\dfrac{117}{4}\)

\(\Rightarrow\)\(\left(-\dfrac{13}{2}\right):\dfrac{117}{4}\)=\(\left(-\dfrac{13}{2}\right):\dfrac{4}{117}\)=\(-\dfrac{2}{9}\)

Ta có:\(\dfrac{6}{-27}=\dfrac{-2}{9}\)

hay\(\dfrac{6}{-2}=\dfrac{-27}{9}\);\(\dfrac{6}{-2}=\dfrac{27}{-9}\);\(\dfrac{2}{-9}=\dfrac{6}{-27}\)

\(\dfrac{6}{-6,5}=\dfrac{29,25}{-27};\dfrac{6,5}{6}=\dfrac{-27}{29,25}\)

Bài 1: Lập tỉ lệ thức

a) 6.63 = 9.42

+ 6:9 = 42:63

+ 6:42 = 9:63

+ 63:9 = 42:6

+ 63:42 = 9:6

b) -15.11,9 = -35.5,1

+ -15:(-35) = 5,1:11,9

+ -15:5,1 = -35:11,9

+ 11,9:(-35) = 5,1:(-15)

+ 11,9:5,1 = -35:(-15)

c) 7.(-28) = -49.4

+ 7:(-49) = 4:(-28)

+ 7:4 = (-49):(-28)

+ -28:(-49) = 4:7

+ -28:4 = (-49):7

d) 5.(-27) = -9.15

+ 5:(-9) = 15:(-27)

+ 5:15 = (-9):(-27)

+ -27:(-9) = 15:5

+ -27:15 = (-9):5

\(6:\left(-27\right)=\left(-6\frac{1}{2}\right):29\frac{1}{4}\)

các tỉ lệ thức là:

\(\frac{6}{-27}=\frac{-6\frac{1}{2}}{29\frac{1}{4}};\frac{-27}{6}=\frac{29\frac{1}{4}}{-6\frac{1}{2}};\frac{6}{-6\frac{1}{2}}=\frac{-27}{29\frac{1}{4}};\frac{-6\frac{1}{2}}{6}=\frac{29\frac{1}{4}}{-27}\)

Bài 2: a) Từ đẳng thức trên lập được các tỉ lệ thức là:

7/4=(-49)/(-28)=49/28

-49/7=(-28/4)

7/(-49)=4/(-28)

4/7=(-28)/(-49)

\(\dfrac{6}{-6\dfrac{1}{2}}=\dfrac{29\dfrac{1}{4}}{-27};\dfrac{6}{29\dfrac{1}{4}}=\dfrac{-6\dfrac{1}{2}}{-27};\dfrac{-6\dfrac{1}{2}}{6}=\dfrac{-27}{29\dfrac{1}{4}};\dfrac{29\dfrac{1}{4}}{6}=\dfrac{-27}{-6\dfrac{1}{2}}\)