a) \(\frac{3}{4}\times\frac{5}{6}-\frac{1}{6}\)

\(=\frac{3\times5}{4\times6}-\frac{1}{6}\)

\(=\frac{3\times5}{4\times2\times3}-\frac{1}{6}\)

\(=\frac{5}{8}-\frac{1}{6}\)

\(=\frac{15}{24}-\frac{4}{24}\)

\(=\frac{11}{24}\)

b) \(\frac{1}{2}+\frac{1}{3}\div\frac{1}{4}\)

\(=\frac{1}{2}+\frac{1}{3}\times\frac{4}{1}\)

\(=\frac{1}{2}+\frac{1\times4}{3\times1}\)

\(=\frac{1}{2}+\frac{4}{3}\)

\(=\frac{3}{6}+\frac{8}{6}\)

\(=\frac{11}{6}\)

Theo ý e bảo chỉ làm 3 dòng thôi nên a rút gọn phép tính lại:

a) \(\frac{3}{4}\times\frac{5}{6}-\frac{1}{6}\)

\(=\frac{5}{8}-\frac{1}{6}\)

\(=\frac{15}{24}-\frac{4}{24}\)

\(=\frac{11}{24}\)

b) \(\frac{1}{2}+\frac{1}{3}\div\frac{1}{4}\)

\(=\frac{1}{2}+\frac{4}{3}\)

\(=\frac{3}{6}+\frac{8}{6}\)

\(=\frac{11}{6}\)

bài 4:so sánh

5/2 lớn hơn 3/7

4/3 lớn hơn,3/2 lớn hơn 

bài 6:rút gọn các phân số sau:

3/9=1/3      9/12=3/4          8/18=4/9         60/36=10/6         17/34=1/2              17/51=1/3           35/100=7/20           25/100=1/4                  8/1000=1/125                 24/30=4/5           18/54=1/3           72/42=12/7

đay nhé mk chưa làm hết đc bn viết liền quá mk nhìn khó mà mk hỏi bài 7 là nhân hay cộng vậy?

4 phần 5 trừ 11 phần 5 =

1 + 1 = 2

2 + 2 = 4

3 + 3 = 6

4 + 4 = 8

5 + 5 = 10

x-1=1/2

x   =1/2 + 1

x= 3/2

dấu / là phần nha.

ta có như sau

x-1=\(\dfrac{1}{2}\)

x   =\(\dfrac{1}{2}\) + 1

x= \(\dfrac{3}{2}\)

1,

\(\frac{25}{12}+\left(\frac{-4}{12}\right)=\frac{7}{4}\)

\(\frac{-10}{8}+\frac{15}{4}=\frac{5}{2}\)

\(\frac{3}{8}+\frac{-14}{6}=\frac{-47}{24}\)

\(\frac{350}{150}+\left(\frac{-200}{360}\right)=\frac{16}{9}\)

\([\frac{5}{8}+\left(\frac{-3}{4}\right)]+\frac{15}{6}=\frac{-1}{8}+\frac{15}{6}=\frac{19}{8}\)

\(\frac{7}{3}+[\left(\frac{-5}{6}\right)+\left(\frac{-2}{3}\right)]=\frac{7}{3}+\left(\frac{-3}{2}\right)=\frac{5}{6}\)

4,

\(\frac{X+1}{5}=\frac{3}{7}\)

\(\Rightarrow\left(X-1\right).7=3.5\)

\(\Rightarrow7X-7=15\)

\(\Rightarrow7X=22\)

\(\Rightarrow X=\frac{22}{7}\)

\(\frac{X-3}{4}=\frac{1}{2}\)

\(\Rightarrow\left(X-3\right)2=1.4\)

\(\Rightarrow2X-6=4\)

\(\Rightarrow2X=10\)

\(\Rightarrow X=5\)

Tôi ko bt

\(x-\left(\frac{5}{6}-x\right)=x-\frac{2}{3}\)

\(\Leftrightarrow x-\frac{5}{6}+x=x-\frac{2}{3}\)

\(\Leftrightarrow\left(x-x\right)+\frac{5}{6}=x-\frac{2}{3}\)

\(\Leftrightarrow0+\frac{5}{6}=x-\frac{2}{3}\)

\(\Leftrightarrow x-\frac{2}{3}=\frac{5}{6}\)

\(\Leftrightarrow x=\frac{5}{6}+\frac{2}{3}\)

\(\Leftrightarrow x=\frac{5}{6}+\frac{4}{6}\)

\(\Leftrightarrow x=\frac{3}{2}\)

x−(56 −x)=x−23 

⇔x−56 +x=x−23 

⇔(x−x)+56 =x−23 

⇔0+56 =x−23 

⇔x−23 =56 

⇔x=56 +23 

⇔x=56 +46 

⇔x=32 

a) \(\frac{3}{2}-\frac{5}{6}:x=\frac{5}{15}-\frac{3}{15}\)

\(\Leftrightarrow\frac{3}{2}-\frac{5}{6}:x=\frac{2}{15}\)

\(\Leftrightarrow\frac{5}{6}:x=\frac{3}{2}-\frac{2}{15}\)

\(\Leftrightarrow\frac{5}{6}:x=\frac{41}{30}\)

\(\Leftrightarrow x=\frac{5}{6}:\frac{41}{30}\)

\(\Leftrightarrow x=\frac{25}{41}\)

b) \(x-\frac{6}{7}.\frac{14}{8}=\frac{1}{2}-\frac{2}{5}\)

\(\Leftrightarrow x-\frac{3}{2}=\frac{1}{10}\)

\(\Leftrightarrow x=\frac{1}{10}+\frac{3}{2}\)

\(\Leftrightarrow x=\frac{8}{5}\)

c) \(x:\frac{6}{5}+\frac{2}{3}=\frac{7}{3}\)

\(\Leftrightarrow x:\frac{6}{5}=\frac{7}{3}-\frac{2}{3}\)

\(\Leftrightarrow x:\frac{6}{5}=\frac{5}{3}\)

\(\Leftrightarrow x=\frac{5}{3}.\frac{6}{5}\)

\(\Leftrightarrow x=2\)

huyền ngốc

\(\trac{3}{2}

đơn giản 

......dễ.....