\(\left(\frac{3}{4}+\frac{2}{11}-\frac{8}{13}\right)+\left(\frac{1}{4}-\frac{5}{13}\right)\)

\(=\frac{3}{4}+\frac{2}{11}-\frac{8}{13}+\frac{1}{4}-\frac{5}{13}\)

\(=\left(\frac{3}{4}+\frac{1}{4}\right)+\frac{2}{11}-\left(\frac{8}{13}+\frac{5}{13}\right)\)

\(=1+\frac{2}{11}-1\)

\(=\frac{2}{11}\)

\(\left(\frac{9}{53}+\frac{21}{31}\right)+\left(\frac{44}{53}-\frac{16}{7}\right)+\frac{10}{31}\)

\(=\frac{9}{53}+\frac{21}{31}+\frac{44}{53}-\frac{16}{7}+\frac{10}{31}\)

\(=\left(\frac{9}{53}+\frac{44}{53}\right)+\left(\frac{21}{31}+\frac{10}{31}\right)-\frac{16}{7}\)

\(=1+1-\frac{16}{7}\)

\(=2-\frac{16}{7}\)

\(=\frac{14}{7}-\frac{16}{7}\)

\(=\frac{-2}{7}\)

Bài 1: Ta chỉ cần bỏ ngoặc rồi cộng hai phân số để ra kết quả là số tự nhiên là xong

Bài 2:

A = \(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+............+\frac{1}{2003.2004}\)

A = \(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-.............-\frac{1}{2003}+\frac{1}{2003}-\frac{1}{2004}\)

A = \(1-\frac{1}{2004}\)

A = \(\frac{2004}{2004}-\frac{1}{2004}=\frac{2003}{2004}\)

Mk làm mẫu 1 bài nha 

Bài 1 :

a, = (1/4+3/4) - (5/13+8/13)+2/11

    = 1 - 1 + 2/11

    = 2/11

Tk mk nha

uhmmm..........Bn tách ra được không?

tách bớt hoặc xuống dòng đi, để v sao thấy dc tr =))

Câu 2:

1:=>1,3x=-1,31

=>x=-131/130

2: =>\(\left(4.5-2x\right)=\dfrac{11}{14}:\dfrac{-11}{7}=\dfrac{-1}{2}=-0.5\)

=>2x=5

=>x=5/2

\(x-31=-53-x\\ \Leftrightarrow x+x=-53+31\\ \Leftrightarrow2x=-22\\ \Leftrightarrow x=-22:2\\ \Leftrightarrow x=-11\\ 2x+39=-21-3x\\ \Leftrightarrow2x+3x=-21-39\\ \Leftrightarrow5x=-60\\ \Leftrightarrow x=-60:5\\ \Leftrightarrow x=-12\)

1) \(x-31=-53-x\)

\(\Leftrightarrow x-31+x=-53\)

\(\Leftrightarrow2x-31=-53\)

\(\Leftrightarrow2x=-53+31\)

\(\Leftrightarrow2x=-22\)

\(\Leftrightarrow x=\left(-22\right):2\)

\(\Leftrightarrow x=-11\)

2) \(2x+39=-21-3x\)

\(\Leftrightarrow2x+39+3x=-21\)

\(\Leftrightarrow5x+39=-21\)

\(\Leftrightarrow5x=-21-39\)

\(\Leftrightarrow5x=-60\)

\(\Leftrightarrow x=\left(-60\right):5\)

\(\Leftrightarrow x=-12\)

Câu 1: Kết quả của phép tính sau: (−5)+(−26)
A) −31 B) 31 C) −21 D) 21

Câu 2: Kết quả của phép tính sau: (−13)+40
A) −53 B)−27 C) 53 D) 27

Câu 3: Kết quả của phép tính sau: (−147)+74
A) −221 B) 73 C) −73 D) 221

Câu 4: Kết quả của phép tính sau: (−24)−26
A) −2 B) −50 C) 50 D) 2

Câu 5: Kết quả của phép tính sau: 35−(−45)
A) 80 B) 10 C) −10 D) −80

1a         2d            3c       4b          5a

a) Có: \(4^{51}+2^{104}+4^{53}\\ =4^{51}+\left(2^2\right)^{52}+4^{53}\\ =4^{51}+4^{52}+4^{53}\\ =4^{51}\left(1+4+4^2\right)\\ =4^{51}\cdot21⋮21\left(đpcm\right)\)

b) Có: \(125^{10}+5^{31}+25^{16}\\ =\left(5^3\right)^{10}+5^{31}+\left(5^2\right)^{16}\\ =5^{30}+5^{31}+5^{32}\\ =5^{30}\left(1+5+5^2\right)\\ =5^{30}\cdot31⋮31\left(đpcm\right)\)

c) Có: \(2^{25}+4^{13}+8^9\\ =2^{25}+\left(2^2\right)^{13}+\left(2^3\right)^9\\ =2^{25}+2^{26}+2^{27}\\ =2^{23}\left(2^2+2^3+2^4\right)\\ =2^{23}\cdot28⋮28\left(đpcm\right)\)

đpcm là gì vậy bạn mình ko hiểu

a: \(=\dfrac{3}{22}\cdot22\cdot\dfrac{3}{11}=3\cdot\dfrac{3}{11}=\dfrac{9}{11}\)

b: \(=\dfrac{5}{6}\cdot\dfrac{2}{5}=\dfrac{1}{3}\)

c: =17/21(3/5+2/5)=17/21

a)×+1/ 53 + ×+2 /52 + ×+3/ 51+3 = 0

\(\Rightarrow\frac{x+1}{53}+1+\frac{x+2}{52}+1+\frac{x+3}{51}+1+\frac{3\left(x+54\right)}{\left(x+54\right)}=0\)

\(\Rightarrow\frac{x+54}{53}+\frac{x+54}{52}+\frac{x+54}{51}+\frac{x+54}{\frac{1}{3}\left(x+54\right)}=0\)

\(\Rightarrow\left(x+54\right)\left(\frac{1}{53}+\frac{1}{52}+\frac{1}{51}+\frac{1}{\frac{1}{3}\left(x+54\right)}\right)=0\)

\(\Rightarrow x+54=0\).Do \(\frac{1}{53}+\frac{1}{52}+\frac{1}{51}+\frac{1}{\frac{1}{3}\left(x+54\right)}\ne0\)

=>x=-54

b)×-2/ 72 + ×-3/ 71 + ×-4/ 70 -3 = 0

\(\Rightarrow\frac{x-2}{72}-1+\frac{x-3}{71}-1+\frac{x-4}{70}-1-\frac{3\left(x-74\right)}{x-74}=0\)

\(\Rightarrow\frac{x-74}{72}+\frac{x-74}{71}+\frac{x-74}{70}-\frac{x-74}{\frac{1}{3}\left(x-74\right)}=0\)

\(\Rightarrow\left(x-74\right)\left(\frac{1}{72}+\frac{1}{71}+\frac{1}{70}-\frac{1}{\frac{1}{3}\left(x-74\right)}\right)=0\)

\(\Rightarrow x-74=0\).Do \(\frac{1}{72}+\frac{1}{71}+\frac{1}{70}-\frac{1}{\frac{1}{3}\left(x-74\right)}\ne0\)

=>x=74

c)×+5/ 81 + ×+4/ 41 + ×-7/ 31 + 6 = 0

\(\Rightarrow\frac{x+5}{81}+1+\frac{x+4}{41}+2+\frac{x-7}{31}+3+\frac{6\left(x+86\right)}{x+86}=0\)

\(\Rightarrow\frac{x+86}{81}+\frac{x+86}{41}+\frac{x+86}{31}+\frac{x+86}{\frac{1}{6}\left(x+86\right)}=0\)

\(\Rightarrow\left(x+86\right)\left(\frac{1}{81}+\frac{1}{41}+\frac{1}{31}+\frac{1}{\frac{1}{6}\left(x+86\right)}\right)=0\)

\(\Rightarrow x+86=0\).Do \(\frac{1}{81}+\frac{1}{41}+\frac{1}{31}+\frac{1}{\frac{1}{6}\left(x+86\right)}\ne0\)

=>x=-86

d)tương tự nhé