Cho mik hỏi tí z có gạch ngang ở giữa là j thế

Bài làm:

\(\left(\frac{1}{1.3}+\frac{1}{3.5}+\frac{1}{5.7}+\frac{1}{7.9}+\frac{1}{9.11}\right).y=\frac{2}{3}\)

\(\Leftrightarrow\left(\frac{2}{1.3}+\frac{2}{3.5}+\frac{2}{5.7}+\frac{2}{7.9}+\frac{2}{9.11}\right).y=\frac{4}{3}\)

\(\Leftrightarrow\left(\frac{3-1}{1.3}+\frac{5-3}{3.5}+\frac{7-5}{5.7}+\frac{9-7}{7.9}+\frac{11-9}{9.11}\right).y=\frac{4}{3}\)

\(\Leftrightarrow\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+\frac{1}{9}-\frac{1}{11}\right).y=\frac{4}{3}\)

\(\Leftrightarrow\left(1-\frac{1}{11}\right).y=\frac{4}{3}\)

\(\Leftrightarrow\frac{10}{11}.y=\frac{4}{3}\)

\(\Leftrightarrow y=\frac{4}{3}:\frac{10}{11}=\frac{4}{3}.\frac{11}{10}=\frac{22}{15}\)

Chú ý dấu \(\left(.\right)\)là dấu \(\left(\times\right)\)

Vậy \(y=\frac{22}{15}\)

\(\left(\frac{1}{1.3}+\frac{1}{3.5}+\frac{1}{5.7}+\frac{1}{7.9}+\frac{1}{9.11}\right).y=\frac{2}{3}\)

\(\Leftrightarrow\frac{1}{2}.\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+\frac{1}{9}-\frac{1}{11}\right).y=\frac{2}{3}\)

\(\Leftrightarrow\frac{1}{2}.\left(1-\frac{1}{11}\right).y=\frac{2}{3}\)

\(\Leftrightarrow\frac{1}{2}.\frac{10}{11}.y=\frac{2}{3}\)

\(\Leftrightarrow\frac{5}{11}.y=\frac{2}{3}\)

\(\Rightarrow y=\frac{2}{3}:\frac{5}{11}=\frac{22}{15}\)

LƯU Ý:các dấu chấm(.) là dấu nhân ^^.

(\(\frac{1}{1\cdot3}+\frac{1}{3\cdot5}+\frac{1}{5\cdot7}+\frac{1}{7\cdot9}+\frac{1}{9\cdot11}\)) *y = \(\frac{2}{3}\)

 A=[(-4x-8)+13]/(x+2) 
=-4+13/(x+2) thuộc Z <=> 13/(x+2) thuộc Z <=> 13 chia hết cho (x+2)(do x thuộc Z) 
hay (x+2) thuộc Ư(13)={-1;1;13;-13} 
tìm x 
B=[(x²-1)+6]/(x-1) 
=x+1+6/(x-1) 
làm tiếp như A 
C=[(x²+3x+2)-3]/(x+2) 
=[(x+2)(x+1)-3]/(x+2) 
=x+1-3/(x+2) 
làm tiếp như A 
2/cậu cho đề thiếu đọc lại đề xem A có thuộc Z không 
3,4 cũng vậy

a) x-5/7=3/5x1/2
    x-5/7=3/10
    x.     =3/10+5/7
    x.     =71/70
b) Xx2/3=5/8x3/4
    Xx2/3=15/32
    X       =15/32:2/3
    X       =45/64

a) x - 5/7 = 3/5 × 1/2

x - 5/7 = 3/10

x = 3/10 + 5/7

x = 71/70

b) x × 2/3 = 5/8 × 3/4

x × 2/3 = 15/32

x = 15/32 : 2/3

x = 45/64

\(\frac{5}{7}\).(\(\frac{1}{2}\)-\(\frac{1}{3}\)+\(\frac{4}{7}\)) +(\(\frac{1}{2}\)-\(\frac{1}{3}\)+\(\frac{4}{7}\)):\(\frac{7}{5}\)

= \(\frac{5}{7}\).(\(\frac{1}{2}\)-\(\frac{1}{3}\)+\(\frac{4}{7}\))+(\(\frac{1}{2}\)-\(\frac{1}{3}\)+\(\frac{4}{7}\)).\(\frac{5}{7}\)

=2.\(\frac{5}{7}\).(\(\frac{1}{2}\)-\(\frac{1}{3}\)+\(\frac{4}{7}\))

=\(\frac{10}{7}\).(\(\frac{21}{42}\)-\(\frac{8}{42}\)+\(\frac{24}{42}\))

=\(\frac{10}{7}\).\(\frac{37}{42}\)=\(\frac{185}{147}\)

a) (12/25 + 13/25) + 3/5

= 25/25 + 3/5 

= 25/25 + 15/25

= 40/25 = 8/5

b) 3/2 + ( 2/3 + 4/3)

=  3/2 + 1/3

=  15/6

c) ( 3/5 + 7/5) + 3/4

=  10/5 + 3/4

= 55/20 = 11/4

hok tot

nho k nhe

giải : ( ko chép lại đề ....... tự chép )

a) \(\frac{3}{5}\)+(  \(\frac{12}{25}\) + \(\frac{13}{25}\))

= \(\frac{3}{5}\)+           1

= \(\frac{8}{5}\)

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

=   \(\frac{3}{2}\)+       2

=   \(\frac{7}{2}\)

c) (\(\frac{3}{5}\)+ \(\frac{7}{5}\))+ \(\frac{3}{4}\)

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

= \(\frac{11}{4}\)

hok tốt nha !!!