\(\frac{199.......9}{999.......5}=\frac{199.......9:199.......9}{999.......5:199........9}=\frac{1}{5}\)

\(\frac{121212}{424242}=\frac{121212:10101}{424242:10101}=\frac{12}{42}\)

\(\frac{187187187}{221221221}=\frac{187187187:1001001}{221221221:1001001}=\frac{187}{221}\)

\(\frac{20082008}{20112011}=\frac{20082008:10001}{20112011:10001}=\frac{2008}{2011}\)

\(\frac{199...9}{99...95}\)=\(\frac{199...9:199...9}{99...95:199...9}\)\(\frac{\left(20so9\right)}{\left(20so9\right)}\)

=\(\frac{1}{5}\)

\(\frac{\left(-11\right)^5.13^7}{11^5.13^8}=\frac{\left(-11\right)^5.13^7}{11^5.13^7}.\frac{1}{13}=-1.\frac{1}{13}=-\frac{1}{13}\)

(-11)⁵x13⁷/11⁵.13⁸=-1/13⁸

Chúc bạn học giỏi nha!!!

\(B=\frac{2929-101}{2.1919+404}\)

\(B=\frac{29.101-101}{38.101+4.101}\)

\(B=\frac{101.\left(29-1\right)}{101.\left(38+4\right)}\)

\(B=\frac{2}{3}\)

bài này dễ mà bạn

\(\frac{15.8+15.4}{12.3}=\frac{15.\left(8+4\right)}{12.3}=\frac{15.12}{12.3}=\frac{5}{1}=5\)

\(\frac{15.8+15.4}{12.3}=\frac{15.\left(8+4\right)}{12.3}=\frac{5.12}{4.3}=\frac{5}{1}=5\)

\(B=\frac{1}{2}.\frac{2}{3}.\frac{3}{4}....\frac{19}{20}=\frac{1}{20}\)

\(B=\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right)\left(1-\frac{1}{4}\right)...\left(1-\frac{1}{20}\right)\)

\(B=\frac{1}{2}.\frac{2}{3}.\frac{3}{4}...\frac{19}{20}\)

\(B=\frac{1}{20}\)

Để phân số sau rút gọn được thì n - 1 phải chia hết cho n + 8 

2n + 16 chia hết cho n - 1 

=> 2n - 2 + 18 chia hết cho n -1

=> 2(n-1) + 18 chia hết cho n - 1 

Vì 2(n-1) chia hết cho n - 1 nên 18 chia hết cho n-1 

Hay n - 1 \(\in\)Ư(18)

Ư(18) = { 1,2,3,6,18,-1,-2,-3,-6,-18}

Lập bảng ra

Tờ làm luôn, ko ghi đề nữa nhé

\(A=\frac{\frac{24}{12}-\frac{4}{12}+\frac{3}{12}}{\frac{24}{12}+\frac{2}{12}-\frac{3}{12}}\)

\(A=\frac{\frac{23}{12}}{\frac{23}{12}}=1\)

Vậy A=1

\(A=\frac{2-\frac{1}{3}+\frac{1}{4}}{2+\frac{1}{6}-\frac{1}{4}}\)\(=\frac{2-\frac{2}{6}+\frac{2}{8}}{2+\frac{2}{12}-\frac{2}{8}}\)\(=\frac{2\left(1-\frac{1}{6}+\frac{1}{8}\right)}{-2\left(1-\frac{1}{12}+\frac{1}{8}\right)}\)\(=-1\)