a) \(\frac{3.6+2.9.5+18.\left(-4\right)}{7.\left(-7\right)+12.\left(-7\right)+7}\)=\(\frac{18+18.5+18.\left(-4\right)}{-7.\left(7+12-1\right)}\)=\(\frac{18.\left(1+5-4\right)}{-7.18}\)=\(\frac{18.2}{18.\left(-7\right)}=\frac{-2}{7}\)

b) \(\frac{2.3.4.5.6-3.4.5.6.7}{2.4.6-4.6.8}=\frac{3.4.5.6.\left(2-7\right)}{4.6.\left(2-8\right)}\)=\(\frac{3.5.\left(-5\right)}{\left(-6\right)}=\frac{-25}{-2}=\frac{25}{2}\)

a)\(\frac{3.6+2.9.5+18.\left(-4\right)}{7.\left(-7\right)+12.\left(-7\right)+7}\)

\(=\frac{18+18.5+18.\left(-4\right)}{7.\left(-7\right)+\left(-12\right).7+7}\)

\(=\frac{18.\left(1+5+-4\right)}{7.\left(-7+-12+1\right)}\)

\(=\frac{15.2}{7.\left(-18\right)}\)

\(=\frac{3.5.2}{7.2.3.-3}\)

\(=\frac{5}{-21}\)

b) \(\frac{2.3.4.5.6-3.4.5.6.7}{2.4.6-4.6.8}\)

\(=\frac{3.4.5.6.\left(2-7\right)}{4.6.\left(2-8\right)}\)

\(=\frac{3.4.5.6.\left(-5\right)}{4.6.\left(-3\right)}\)

\(=\frac{3.5.\left(-5\right)}{\left(-3\right)}\)

\(=\frac{-75}{\left(-3\right)}\)

\(=25\)

1/30;-23/57;1031/9;-79993/100;-124;3/25

ủng hộ nha

to noi that: nguoi ta chi thich giup lam bai kho thoi chu bai nay ai di hoc cung lam dc

tai sao ban phai hoi

a, 26/x + 3 nguyên 

=> 26 ⋮ x + 3

=> x + 3 thuộc Ư(26)

=> x + 3  thuộc {-1; 1; -2; 2; -13; 13; -26; 26}

=> x thuộc {-4; -2; -5; -1; -16; 10; -29; 23}

vậy_

b, x+6/x+1 nguyên

=> x + 6 ⋮ x + 1

=> x + 1 + 5 ⋮ x + 1

=> 5 ⋮ x + 1

=> x + 1 thuộc Ư(5)

=> x + 1 thuộc {-1; 1; -5; 5}

=> x thuộc {-2; 0; -6; 4}

vậy_

c, x-2/x+3 nguyên

=> x - 2 ⋮ x + 3

=> x + 3 - 5 ⋮ x + 3

=> 5 ⋮ x + 3

=> x + 3 thuộc Ư(5)

=> x + 3 thuộc {-1; 1; -5; 5}

=> x thuộc {-4; -2; -8; 2}

vậy_

\(a,\frac{26}{x+3}\in Z\Leftrightarrow26\)\(⋮\)\(x+3\)\(\Rightarrow x+3\inƯ_{26}\)

Mà \(Ư_{26}=\left\{\pm1;\pm2;\pm13;\pm26\right\}\)\(\Rightarrow...\)

\(b,\frac{x+6}{x+1}=\frac{x+1+5}{x+1}=1+\frac{5}{x+1}\)

\(\frac{5}{x+1}\in Z\Leftrightarrow5\)\(⋮\)\(x+1\Rightarrow x+1\inƯ_5\)

MÀ \(Ư_5=\left\{\pm1;\pm5\right\}\)\(\Rightarrow...\)

\(c,\frac{x-2}{x+3}=\frac{x+3-3-2}{x+3}=1-\frac{5}{x+3}\)

\(\frac{5}{x+3}\in Z\Leftrightarrow\)\(5\)\(⋮\)\(x+3\Rightarrow x+3\inƯ_5\)

Mà \(Ư_5=\left\{\pm1;\pm5\right\}\)\(\Rightarrow...\)

b1 7/2³.3.5 để nguyên

9/2².3².10=1/2³.5(rút gọn 9 với 3² , 10 tách ra 2.5)=3/2³.3.5 (nhân cả tử vs mẫu với 3)

thế là được phân số 7/2³.3.5 và 3/2³.3.5

b2 rutgon phân so

-7.3+4.-6/-5.3+2.3=-7.3+(-8).3/-5.3+2.3=3(7+-8)/3(-5+3)=-1/2

ok tk nha hêhh

Câu 1:

A = (4/9 + 5/6) : (7/8 - 7/12)

A = (8/18 + 15/18) :(21/24 - 14/24)

A = 23/18 : 7/24

A = 23/18 x 24/7

A = 92/21

Câu B = 3/4.8/9.15/16...9999/10000

B = \(\frac{1.3}{2.2}\).\(\frac{2.4}{3.3}\)....\(\frac{99.101}{100.100}\)

B = \(\frac{1.2.3\ldots99}{2.3\ldots100}\). \(\frac{3.4.\ldots101}{2.3\ldots100}\)

B = \(\frac{1}{100}\) x \(\frac{101}{2}\)

B = \(\frac{101}{200}\)