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(1/1*2 + 1/2*3 + 1/3*4 + 1/4*5 + ... + 1/99*100)*10 - x = 10
(1/1 - 1/2 + 1/2 - 1/3 + 1/3 - 1/4 + 1/4 - 1/5 + ... + 1/99 - 1/100)*10 - x = 10
(1 - 1/100) * 10 - x = 10
99/100 * 10 - x = 10
99/10 - x =10
x = 99/10 - 10
x = -1 / 10
a: \(2\dfrac{2}{10}=2,2\)
\(4\dfrac{31}{100}=4,31\)
9/10=0,9
51/10=5,1
75/100=0,75
125/100=1,25
1075/1000=1,075
\(14\dfrac{17}{100}=14,17\)
b: 1/2=0,5
3/4=0,75
4/5=0,8
5/8=0,625
\(2\dfrac{1}{2}=2,5\)
\(3\dfrac{1}{4}=3,25\)
\(1\dfrac{3}{5}=1,6\)
\(4\dfrac{3}{8}=4,375\)
\(\frac{\left(\frac{1}{2}-\frac{1}{4}+\frac{1}{5}\right):\left(\frac{1}{2}+\frac{1}{4}-\frac{1}{5}\right)}{\left(\frac{1}{2}+\frac{1}{5}+\frac{1}{10}\right):\left(\frac{1}{2}+\frac{1}{5}-\frac{1}{10}\right)}=\frac{\frac{9}{20}:\frac{11}{20}}{\frac{4}{5}:\frac{3}{5}}=\frac{\frac{9}{11}}{\frac{4}{3}}=\frac{27}{44}\)
a) \(\dfrac{5}{7}\times\dfrac{5}{9}+\dfrac{4}{9}\times\dfrac{5}{7}\)
\(=\dfrac{5}{7}\times\left(\dfrac{4}{9}+\dfrac{5}{9}\right)\)
\(=\dfrac{5}{7}\times1\)
\(=\dfrac{5}{7}\)
b) \(\dfrac{1}{10}+\dfrac{5}{9}+\dfrac{4}{9}+\dfrac{9}{10}-1\)
\(=\left(\dfrac{5}{9}+\dfrac{4}{9}\right)+\left(\dfrac{1}{10}+\dfrac{9}{10}-1\right)\)
\(=1+0\)
\(=1\)
c) \(\dfrac{5}{7}\times\dfrac{5}{9}+\dfrac{4}{9}\times\dfrac{5}{7}+\dfrac{2}{7}\)
\(=\dfrac{5}{7}\times\left(\dfrac{5}{9}+\dfrac{4}{9}\right)+\dfrac{2}{7}\)
\(=\dfrac{5}{7}+\dfrac{2}{7}\)
\(=1\)
d) \(\dfrac{2}{7}+\dfrac{2}{8}+\dfrac{1}{4}+\dfrac{1}{7}+\dfrac{4}{7}\)
\(=\left(\dfrac{2}{8}+\dfrac{1}{4}\right)+\left(\dfrac{2}{7}+\dfrac{1}{7}+\dfrac{4}{7}\right)\)
\(=\left(\dfrac{1}{4}+\dfrac{1}{4}\right)+1\)
\(=\dfrac{1}{2}+1\)
\(=\dfrac{3}{2}\)
e) \(\dfrac{4}{5}+\dfrac{3}{10}+\dfrac{2}{10}+0,7\)
\(=\dfrac{4}{5}+\dfrac{5}{10}+\dfrac{7}{10}\)
\(=\dfrac{4}{5}+\dfrac{12}{10}\)
\(=\dfrac{4}{5}+\dfrac{6}{5}\)
\(=\dfrac{10}{5}\)
\(=2\)
g) \(362\times728+326\times272\)
\(=326\times\left(728+272\right)\)
\(=326\times1000\)
\(=326000\)
3 x 15 + 21 x 15 + 85 x 5
= 45 + 315 + 425
= 785
15 - 30 + 40
= 25
21 + 19 - 50 + 10
= 0
\(\dfrac{1}{5}-\dfrac{1}{4}+2\)
\(=-\dfrac{1}{20}+2\)
\(=\dfrac{39}{20}\)
\(\left(\dfrac{1}{4}+\dfrac{1}{6}\right)\times\left(\dfrac{1}{2}-\dfrac{1}{4}\right)\)
\(=\dfrac{5}{12}\times\dfrac{1}{4}\)
\(=\dfrac{5}{12}\times\dfrac{3}{12}\)
\(=\dfrac{5}{48}\)
\(\dfrac{1}{10}+\dfrac{1}{5}-\dfrac{3}{4}\)
\(=-\dfrac{9}{20}\)
\(3\times15+21\times15+85\times5\\ =15\times\left(3+21\right)+425\\ =15\times24+425\\ =360+425\\ =785\)
\(15-30+40\\ =\left(15+40\right)-30\\ =55-30\\ =25\)
\(21+19-50+10\\ =\left(21+19\right)-\left(50-10\right)\\ =40-40\\ =0\)
\(\dfrac{1}{5}-\dfrac{1}{4}+2\)
\(=\dfrac{4}{20}-\dfrac{5}{20}+\dfrac{40}{20}\)
\(=\dfrac{\left(4+40\right)}{20}-\dfrac{5}{20}\)
\(=\dfrac{44}{20}-\dfrac{5}{20}\)
\(=\dfrac{39}{20}\)
\(\left(\dfrac{1}{4}+\dfrac{1}{6}\right)\times\left(\dfrac{1}{2}-\dfrac{1}{4}\right)\)
\(=\dfrac{5}{12}\times\dfrac{1}{4}\)
\(=\dfrac{5}{48}\)
\(\dfrac{1}{10}+\dfrac{1}{5}-\dfrac{3}{4}\)
\(=\dfrac{2}{20}+\dfrac{4}{20}-\dfrac{15}{20}\)
\(=\dfrac{6}{20}-\dfrac{15}{20}\)
\(=-\dfrac{9}{20}\)
Câu 1 :
= ( 1/2 x 4 x 6 ) + ( 1/4 x 6 x 8 ) + ( 1/6 x 8 x 10 ) + ( 1/8 x 10 x 12 ) + ( 110 x 12 x 14 )
= 12 + 12 + 12 + 12 + 12 hay 12 x 5
= 60
Câu 2 :
= 1 - 1/90
= 89/90
Câu 3 :
= 1 - 1/48
= 47/48
Câu 4 :
= 1 - 1/1280
= 1279/1280
Câu 2 mk chưa chắc chắn lắm ! với lại mk hết lượt rồi ! thông càm nha bn !
ai lm đc mik sẽ k bn đóa nhák
\(=1-\left(\frac{4}{10}+\frac{5}{10}\right)\)
\(=1-\frac{9}{10}\)
\(=-\frac{9}{10}\)