\(121:\left(2\times x-1\right)=121\\ 2\times x-1=121:121\\ 2\times x-1=1\\ 2\times x=1+1\\ 2\times x=2\\ x=2:2\\ x=1\)

Độn dài đường chéo lớn :

\(2\dfrac{3}{5}x2=\dfrac{13}{5}x2=\dfrac{26}{5}\left(dm\right)\)

Diện tích tờ giấy :

\(\dfrac{1}{2}x\dfrac{13}{5}x\dfrac{26}{5}=\dfrac{169}{25}\left(dm^2\right)\)

Bài giải

Đổi: \(2\dfrac{3}{5}dm=\dfrac{13}{5}dm\) 

Độ dài đường chéo lớn là:

\(\dfrac{13}{5}\times2=\dfrac{26}{5}\left(dm\right)\)

Diện tích tờ giấy là:

\(\dfrac{13}{5}\times\dfrac{26}{5}:2=\dfrac{169}{25}\left(dm^2\right)\)

Đ/s: \(\dfrac{169}{25}dm^2\)

\(\left(x-12\right)\times4=18\\ x-12=18:4\\ x-12=4,5\\ x=4,5+12\\ x=16,5\)

=>x-12=18:4=9/2

=>x=9/2+12=33/2

\(...\dfrac{9}{x}+\dfrac{3}{x}=6\Rightarrow\dfrac{1}{x}\left(9+3\right)=6\Rightarrow\dfrac{12}{x}=6\Rightarrow x=12:6=2\)

\(9:x+3:x=6\\ 9\times\dfrac{1}{x}+3\times\dfrac{1}{x}=6\\ \left(9+3\right)\times\dfrac{1}{x}=6\\ 12\times\dfrac{1}{x}=6\\ \dfrac{1}{x}=6:12\\ \dfrac{1}{x}=\dfrac{1}{2}\\ x=2\)

Bài 7: Tính

a) \(4\dfrac{2}{5}\times8\dfrac{3}{4}-2\dfrac{3}{4}\)

\(=\dfrac{22}{5}\times\dfrac{35}{4}-\dfrac{11}{4}\)

\(=\dfrac{77}{2}-\dfrac{11}{4}\)

\(=\dfrac{143}{4}\)

b) \(2\dfrac{2}{3}+1\dfrac{2}{5}-\dfrac{2}{15}\)

\(=\dfrac{8}{3}+\dfrac{7}{5}-\dfrac{2}{15}\)

\(=\dfrac{47}{15}-\dfrac{2}{15}\)

\(=\dfrac{45}{15}=3\)

c) \(3\dfrac{1}{3}-2\dfrac{2}{3}+1\dfrac{5}{6}\)

\(=\dfrac{10}{3}-\dfrac{8}{3}+\dfrac{11}{6}\)

\(=\dfrac{2}{3}+\dfrac{11}{6}\)

\(=\dfrac{15}{6}\)

` a/` 

` 3 1/5 : 2 1/3 : y = 12/7 `

` 48/35 : y = 12/7 `

` y = 48/35 : 12/7 `

` y = 48/35 xx 7/12 `

` y = 4/5`

Vậy ` y = 4/5` 

`b/`

` 3 : y xx 3 1/2 = 2/3 xx 3/4 `

` 3 : y xx 7/2 =  1/2`

` 3 : y = 1/2 : 7/2 `

` 3 : y = 1/2 xx 2/7 `

` 3 : y = 1/7 `

`      y = 3 : 1/7 `

`      y = 3 xx 7`

`      y = 21 `

 Vậy ` y = 21 `

`c/` 

` 3 2/3 - y + 1 3/4 = 2`

` 11/3 - y + 7/4 = 2 `

`   11/3 -y  = 2 - 7/4`

`    11/3 - y = 1/4 `

`        y = 11/3 - 1/4 `

`        y = 41/12  `

Vậy ` y = 41/12`

\(\dfrac{3}{25}=\dfrac{3\times4}{25\times4}=\dfrac{12}{100}\\ \dfrac{7}{8}=\dfrac{7\times125}{8\times125}=\dfrac{875}{1000}\\ \dfrac{9}{45}=\dfrac{9:9}{45:9}=\dfrac{1}{5}=\dfrac{1\times2}{5\times2}=\dfrac{2}{10}\)

a) 12/100

b) 875/1000

c) 18/100

a,A,C,D

b,C

a) Câu A;D

b) Câu C