Chiều rộng hình chữ nhật là :

`60 xx 1/4=15(m)`

Thửa ruộng thu hoạch đc số `kg` thóc là :

`15 : 50 xx 100=30(kg)`

chiều rộng thửa ruộng h.c.n là :

60 x 1/4 = 15 ( m )

diện tích thửa ruộng h.c.n là :

60 x 15 = 900 ( m2 )

số kg thóc thu được là :

900 : 100 x 50 = 450 ( kg thóc )

`15/5 -3/7 -1/7`

`=105/35 - 15/35 - 5/35`

`=(105-15-5)/35`

`=85/35`

`=17/7`

__

`15/5 -3/7-1/7`

`=15/5 - (3/7 + 1/7)`

`= 15/5 - 4/7`

`= 105/35 - 20/35`

`= 85/35`

`=17/7`

cách 1 : 15/5 - 3/7 - 1/7 

= 18/7 - 1/7

= 17/7

cách 2 : 15/5 - 3/7 - 1/7

= 15/5 - ( 3/7 + 1/7 ) 

= 15/5 - 4/7

= 17/7

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

`1/4+2/5+3/4+3/5`

`=(1/4+3/4)+(2/5+3/5)`

`=4/4+5/5`

`=1+1`

`=2`

184 trang nha bạn

184

\(\dfrac{15}{5}-\dfrac{3}{7}-\dfrac{1}{7}\)
\(=\dfrac{15}{5}-\left(\dfrac{3}{7}+\dfrac{1}{7}\right)\)
\(=3-\dfrac{4}{7}\)
\(=\dfrac{21}{7}-\dfrac{4}{7}\)
\(=\dfrac{17}{7}\)

Ai bít ko 

\(\dfrac{21}{17}\times\dfrac{13}{14}\times56\times\dfrac{3}{42}\)
\(=\dfrac{21}{17}\times\dfrac{13}{14}\times56\times\dfrac{1}{14}\)
\(=\dfrac{21\times13\times56}{17\times14\times14}\)
\(=\dfrac{3\times7\times13\times14\times2\times2}{17\times2\times7\times14}\)
\(=\dfrac{3\times13\times2}{17}\)
\(=\dfrac{78}{17}\)

A = 1/1 - 1/2 + 1/3 - 1/3 + 1/4

A = 1/1 - 1/4

A = 3/4

vậy A = 3/4

\(\dfrac{1}{1.2}+\dfrac{1}{2.3}+\dfrac{1}{3.4}\)

\(=1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}\)

\(=1-\dfrac{1}{4}=\dfrac{4-1}{4}=\dfrac{3}{4}\)

\(\dfrac{1}{42}+\dfrac{1}{30}+\dfrac{1}{12}+\dfrac{1}{6}+\dfrac{1}{2}\)
\(=\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{12}+\dfrac{1}{30}+\dfrac{1}{42}\)
\(=\dfrac{1}{1\times2}+\dfrac{1}{2\times3}+\dfrac{1}{3\times4}+\dfrac{1}{5\times6}+\dfrac{1}{6\times7}\)
\(=1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+\dfrac{1}{5}-\dfrac{1}{6}+\dfrac{1}{6}-\dfrac{1}{7}\)
\(=1-\dfrac{1}{4}+\dfrac{1}{5}-\dfrac{1}{7}\)
\(=\dfrac{140}{140}-\dfrac{35}{140}+\dfrac{28}{140}-\dfrac{20}{140}\)
\(=\dfrac{113}{140}\)

\(\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{12}+\dfrac{1}{30}+\dfrac{1}{42}\)

\(=\dfrac{1}{2}+\dfrac{1}{2.3}+\dfrac{1}{3.4}+\dfrac{1}{5.6}+\dfrac{1}{6.7}\)

\(=\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+\dfrac{1}{5}-\dfrac{1}{6}+\dfrac{1}{6}-\dfrac{1}{7}\)

\(=1-\dfrac{1}{4}+\dfrac{1}{5}-\dfrac{1}{7}=\dfrac{140-35+28-20}{140}=\dfrac{113}{140}\)

Mình nghĩ đề bài cần thêm 1/20 mới tính nhanh được

\(\dfrac{5}{3}< x< \dfrac{7}{3}\)
\(\dfrac{5}{3}< \dfrac{x}{3}< \dfrac{7}{3}\)
\(x=\dfrac{6}{3}\)
\(x=2\)

vì 5/3 < x > 7/3 

=> x = 6/3 * hoặc x = 2 *

\(\dfrac{1}{3}=44:\dfrac{x}{66}\)
\(\dfrac{x}{66}=44:\dfrac{1}{3}\)
\(\dfrac{x}{66}=44\times3\)
\(\dfrac{x}{66}=132\)
\(x=132\times66\)
\(x=8712\)