1 1/3 x 1 1/4 x 1 1/5 x 1 1/6 x 1 1/7 x 1 1/8 = 4/3 x 5/4 x 6/5 x 7/6 x 8/7 x 9/8 = 4x5x6x7x8x9/3x4x5x6x7x8 = 9/3 = 3

1) 1/3 x 1/2 x 3/7 = 3/42 = 1/14

2) 5/4 x 1/3 +1/7 = 5/12 + 1/7 = 35/84 + 12/84 = 47/84

3) 8 x ( 8/9 - 2/3 ) = 8 x 2/9 = 16/9

4) 5/6 x 48/20 x 1/2 = 240/240 = 1

5) ( 2/5 + 3/4 ) + 8 = 23/20 + 8 = 23//20 + 160/20 = 183/20

6) 10 x ( 1/2 - 1/5 ) = 10 x 3/10 = 10/1 x 3/10 = 30/10 = 3

\(\dfrac{7}{8}\) \(\times\) \(\dfrac{1}{6}\) + \(\dfrac{7}{8}\) \(\times\) \(\dfrac{2}{6}\) + \(\dfrac{7}{8}\) \(\times\) \(\dfrac{1}{2}\)

= \(\dfrac{7}{8}\) \(\times\) ( \(\dfrac{1}{6}\) + \(\dfrac{2}{6}\) + \(\dfrac{1}{2}\) )

= \(\dfrac{7}{8}\) \(\times\) ( \(\dfrac{3}{6}\) + \(\dfrac{1}{2}\))

=  \(\dfrac{7}{8}\) \(\times\) ( \(\dfrac{1}{2}\) + \(\dfrac{1}{2}\))

= \(\dfrac{7}{8}\) \(\times\) 1

= \(\dfrac{7}{8}\)

    25 \(\times\) 5 \(\times\) 4 \(\times\)2  - 176

= (25 \(\times\) 4 ) \(\times\) ( 5 \(\times\) 2) - 176

= 100 \(\times\) 10 - 176

= 1000 - 176

= 824

\(\dfrac{7}{8}\times\dfrac{1}{6}+\dfrac{7}{8}\times\dfrac{2}{6}+\dfrac{7}{8}\times\dfrac{1}{2}\)

\(=\dfrac{7}{8}\times\left(\dfrac{1}{6}+\dfrac{2}{6}+\dfrac{1}{2}\right)\)

\(=\dfrac{7}{8}\times1\)

\(=\dfrac{7}{8}\)

__________________________ 

\(25\times5\times4\times2-176\)

\(=\left(25\times4\right)\times\left(4\times2\right)-176\)

\(=1000-176\)

\(=824\)

Chúc bạn học tốt

7/8x1/6+7/8x2/6+7/8x1/2

= 7/8x1/6+7/8x2/6+7/8x3/6

= 7/8x(1/6+2/6+3/6)

= 7/8x 1

= 7/8

25x5x4x2-176

=(25x4)x(5x2) -176

=100x10-176

=1000-176

=824

x/5=y/6

x/35=y/42(1)

y/7=z/8

y/42=z/48(2)  

từ (1)và(2)=>x/35=y/42=z/48(3)

theo bài ra ta có x+y+z=250(4)

từ (3),(4) và áp dụng tính chất dãy tỉ số bằng nhau ta có

  x/35=y/42=z/48=(x+y+z)/(35+42+48)=250/125=2

vì x/35=2=>x=70

    y/42=2=>y=84

    z/48=>z=96

  vậy x=70

         y=84

          z=96

Sửa lại đề bài đi rồi tôi giải cho

\(\frac{4}{5}x\frac{1}{4}+\frac{1}{2}x\frac{4}{5}\)

\(\frac{4}{5}x\left(\frac{1}{4}+\frac{1}{2}\right)\)

\(\frac{4}{5}x\frac{3}{4}=\frac{3}{5}\)

\(\frac{3}{4}x\frac{4}{5}+\frac{5}{6}x\frac{6}{7}x\frac{7}{8}\)

\(\frac{3}{5}+\frac{5}{8}=\frac{49}{40}\)

A) 4/5 x 1/4 + 1/2 x 4/5

 = 4/5 x (1/4 + 1/2)

 = 4/5 x (1/4 + 2/4)

 = 4/5 x 3/4

 = 3/5

\(\frac{4}{5}x\left(\frac{1}{2}+\frac{1}{4}\right)=\frac{4}{5}x\frac{3}{4}=\frac{3}{5}\)

\(4,7\div0,25+5,3\times4\)

\(=18,8+21,2\)

\(=40\)

\(3\times\left(a-2\right)+150=240\)

\(3\times\left(a-2\right)=90\)

\(a-2=30\)

\(a=32\)

\(\dfrac{1}{9}+a+\dfrac{7}{12}=\dfrac{17}{18}\)

\(\dfrac{1}{9}+a=\dfrac{13}{36}\)

\(a=\dfrac{1}{4}\)

\(\left(\dfrac{1}{2}\times\dfrac{1}{3}+\dfrac{1}{3}\times\dfrac{1}{4}+\dfrac{1}{4}\times\dfrac{1}{5}+\dfrac{1}{5}\times\dfrac{1}{6}+\dfrac{1}{6}\times\dfrac{1}{7}+\dfrac{1}{7}\times\dfrac{1}{8}\right)\times a=\dfrac{9}{16}\)

\(\left(\dfrac{1}{2\times3}+\dfrac{1}{3\times4}+\dfrac{1}{4\times5}+\dfrac{1}{5\times6}+\dfrac{1}{6\times7}+\dfrac{1}{7\times8}\right)\times a=\dfrac{9}{16}\)

\(\left(\dfrac{1}{2}-\dfrac{1}{8}\right)\times a=\dfrac{9}{16}\)

\(\dfrac{3}{8}\times a=\dfrac{9}{16}\)

\(a=\dfrac{3}{2}\)