\(\frac{15}{2}y-\frac{1}{3}\cdot\left(\frac{1}{4}y\right)=\frac{290}{3}\)

=> \(\frac{15y}{2}-\frac{1}{3}\cdot\frac{y}{4}=\frac{290}{3}\)

=> \(\frac{15y}{2}-\frac{y}{12}=\frac{290}{3}\)

=> \(\frac{90y}{12}-\frac{y}{12}=\frac{1160}{12}\)

=> \(90y-y=1160\)

=> \(89y=1160\)

=> \(y=\frac{1160}{89}\)

bó tay luôn

\(a,\)\(71+65\times4=\frac{x+140}{x}+260\)

\(\Rightarrow71+260=\frac{x-140}{x}+260\)

\(\Rightarrow71=\frac{x-140}{x}\)

\(\Rightarrow71x=x-140\)

\(\Rightarrow71x-x=-140\)

\(\Rightarrow70x=-140\)

\(\Rightarrow x=-2\)

\(b,\)\(y\times\frac{15}{2}-\frac{1}{3}\times\left(\frac{1}{4}+y\right)=90\frac{2}{3}\)

\(\Rightarrow\frac{15y}{2}-\frac{1}{12}-\frac{y}{3}=\frac{272}{3}\)

\(\Rightarrow\frac{90y}{12}-\frac{1}{12}-\frac{4y}{12}=\frac{1088}{12}\)

\(\Rightarrow90y-1-4y=1088\)

\(\Rightarrow86y=1089\)

\(\Rightarrow y=\frac{1089}{86}\)

Bài 1:

a. 

$\frac{2}{3}\times \frac{x}{y}=\frac{8}{15}$

$\frac{x}{y}=\frac{8}{15}: \frac{2}{3}=\frac{4}{5}$

b.

$\frac{x}{y}: \frac{3}{4}=\frac{2}{5}$

$\frac{x}{y}=\frac{3}{4}\times \frac{2}{5}=\frac{3}{10}$

c.

$\frac{3}{5}: \frac{x}{y}=\frac{4}{7}$

$\frac{x}{y}=\frac{3}{5}: \frac{4}{7}=\frac{21}{20}$

Bài 2:

Chiều dài hình chữ nhật là:

$\frac{3}{5}: \frac{3}{4}=\frac{4}{5}$ (m)

Chu vi hình chữ nhật:

$2\times (\frac{3}{4}+\frac{4}{5})=\frac{31}{10}$ (m)

a) x + 1/15 = 1/3 - 1/4 = 4/12 - 3/12 = 1/12.

=> x = 1/12 - 1/15 = 5/60 - 4/60 = 1/60.

b) x - 5/12 = 1/3 + 1/4 = 4/12 + 3/12 = 7/12.

=> x = 7/12 + 5/12 = 1

c) x x 2/7 = 3/4 x 4/15 = 1/5

=> x = 1/5 : 2/7 = 1/5 x 7/2 = 7/10

d) x : 3/8 = 4/3 : 3/6 = 4/3 x 2 = 8/3

=> x = 8/3 x 3/8 = 1

1)\(\frac{252}{x}=\frac{84}{97}\Rightarrow\)\(\frac{84}{97}=\frac{252}{291}\Rightarrow x=291\)

6) \(\frac{y}{15}=\frac{2}{5}\Rightarrow\frac{2}{5}=\frac{6}{15}\Rightarrow x=6\)

3 x 15 + 21 x 15 + 85 x 5

= 45 + 315 + 425

= 785

15 - 30 + 40 

= 25

21 + 19 - 50 + 10

= 0

\(\dfrac{1}{5}-\dfrac{1}{4}+2\)

\(=-\dfrac{1}{20}+2\)

\(=\dfrac{39}{20}\)

\(\left(\dfrac{1}{4}+\dfrac{1}{6}\right)\times\left(\dfrac{1}{2}-\dfrac{1}{4}\right)\)

\(=\dfrac{5}{12}\times\dfrac{1}{4}\)

\(=\dfrac{5}{12}\times\dfrac{3}{12}\)

\(=\dfrac{5}{48}\)

\(\dfrac{1}{10}+\dfrac{1}{5}-\dfrac{3}{4}\)

\(=-\dfrac{9}{20}\)

\(3\times15+21\times15+85\times5\\ =15\times\left(3+21\right)+425\\ =15\times24+425\\ =360+425\\ =785\)

\(15-30+40\\ =\left(15+40\right)-30\\ =55-30\\ =25\)

\(21+19-50+10\\ =\left(21+19\right)-\left(50-10\right)\\ =40-40\\ =0\)

\(\dfrac{1}{5}-\dfrac{1}{4}+2\)

\(=\dfrac{4}{20}-\dfrac{5}{20}+\dfrac{40}{20}\)

\(=\dfrac{\left(4+40\right)}{20}-\dfrac{5}{20}\)

\(=\dfrac{44}{20}-\dfrac{5}{20}\)

\(=\dfrac{39}{20}\)

\(\left(\dfrac{1}{4}+\dfrac{1}{6}\right)\times\left(\dfrac{1}{2}-\dfrac{1}{4}\right)\)

\(=\dfrac{5}{12}\times\dfrac{1}{4}\)

\(=\dfrac{5}{48}\)

\(\dfrac{1}{10}+\dfrac{1}{5}-\dfrac{3}{4}\)

\(=\dfrac{2}{20}+\dfrac{4}{20}-\dfrac{15}{20}\)

\(=\dfrac{6}{20}-\dfrac{15}{20}\)

\(=-\dfrac{9}{20}\)

\(1,x+4\cdot25=1000\)

\(\Rightarrow x+100=1000\)

\(\Rightarrow x=900\)

\(2,y\cdot17+y\cdot15+y\cdot1-y\cdot3=1860\)

\(\Rightarrow y\cdot\left(17+15+1-3\right)=1860\)

\(\Rightarrow30y=1860\)

\(\Rightarrow y=62\)

\(3,y\cdot33-y\cdot3=1860\)

\(\Rightarrow y\left(33-3\right)=1860\)

\(\Rightarrow30y=1860\)

\(\Rightarrow y=62\)

\(4,142-\frac{x}{2}=43\)

=?\(\frac{x}{2}=99\)

=>\(x=198\)

Chứng minh P>3 nha!!! 

Chứng minh P>3 nha!!!