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DT
1
5 tháng 11 2018
x +\(\frac{1}{6}\)=\(\frac{1}{3}\)-\(\frac{1}{4}\)
x +\(\frac{1}{6}\)=\(\frac{1}{12}\)
x =\(\frac{1}{12}\)-\(\frac{1}{6}\)
x =\(-\frac{1}{12}\)
x -\(\frac{5}{12}\)=\(\frac{1}{3}+\frac{1}{4}\)
x -\(\frac{5}{12}\)=\(\frac{7}{12}\)
x =\(\frac{7}{12}\)+\(\frac{5}{12}\)
x = 1
x +\(\frac{1}{2}\)=\(\frac{4}{5}\)
x =\(\frac{4}{5}\)-\(\frac{1}{2}\)
x =\(\frac{3}{10}\)
x -\(\frac{1}{6}\)=\(\frac{1}{2}\)+\(\frac{1}{3}\)
x -\(\frac{1}{6}\)=\(\frac{5}{6}\)
x =\(\frac{5}{6}\)+\(\frac{1}{6}\)
x = 1
x +\(\frac{1}{8}\)=\(\frac{1}{2}\)-\(\frac{1}{3}\)
x +\(\frac{1}{8}\)=\(\frac{1}{6}\)
x =\(\frac{1}{6}\)-\(\frac{1}{8}\)
x =\(\frac{1}{24}\)
Học tốt!!!
FF
23 tháng 8 2016
a) A= 1/2 + 1/4+ 1/8+ 1/16 + 1/32 + 1/64 + 1/128 + 1/256 + 1/512
A = 1 - 1/2 + 1/2- 1/4 + 1/4 - 1/8 + 1/8 - 1/16 + 1/16 - 1/32 + 1/32 - 1/64 + 1/64 - 1/128 + 1/128 - 1/256 - 1/256 - 1/512
A = 1 - 1/512
A = 511/512
b) B = 1/3 + 1/9 + 1/27 + 1/81 + 1/243 + 1/729
3B = 1 + 1/3 + 1/9 + 1/27 + 1/81 + 1/243
3B - B = 1 - 1/729
2B = 728/729
B = 364/729
FF
23 tháng 8 2016
a) A= 1/2 + 1/4+ 1/8+ 1/16 + 1/32 + 1/64 + 1/128 + 1/256 + 1/512
A = 1 - 1/2 + 1/2- 1/4 + 1/4 - 1/8 + 1/8 - 1/16 + 1/16 - 1/32 + 1/32 - 1/64 + 1/64 - 1/128 + 1/128 - 1/256 - 1/256 - 1/512
A = 1 - 1/512
A = 511/512
b) B = 1/3 + 1/9 + 1/27 + 1/81 + 1/243 + 1/729
3B = 1 + 1/3 + 1/9 + 1/27 + 1/81 + 1/243
3B - B = 1 - 1/729
2B = 728/729
B = 364/729
TN
1
7 tháng 6 2016
\(\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right)\left(1-\frac{1}{4}\right)\)= \(\frac{2-1}{2}.\frac{3-1}{3}.\frac{4-1}{4}\)= \(\frac{1}{2}.\frac{2}{3}.\frac{3}{4}\)= \(\frac{1.2.3}{2.3.4}=\frac{1}{4}\)
\(\left(1+\frac{1}{2}\right):\left(1+\frac{1}{3}\right):\left(1+\frac{1}{4}\right)\)= \(\frac{2+1}{2}:\frac{3+1}{3}:\frac{4+1}{4}\)= \(\frac{3}{2}:\frac{4}{3}:\frac{5}{4}=\frac{3}{2}.\frac{3}{4}.\frac{4}{5}=\frac{3.3.4}{2.4.5}=\frac{3.3}{2.5}=\frac{9}{10}\)
\(\frac{6}{5}-\frac{4}{5}.\frac{4}{8}+1=\frac{6}{5}+1-\frac{4.4}{5.8}=\frac{6+5}{5}-\frac{4}{5.2}=\frac{11}{5}-\frac{2}{5}=\frac{9}{5}\)
x < \(\frac{3}{4}+\frac{4}{5}=\frac{15}{20}+\frac{16}{20}=\frac{31}{20}=\frac{20}{20}+\frac{11}{20}=1\frac{11}{20}\)=> x = 0 ; 1
\(\frac{1}{2}+\frac{2}{3}< x< 4-\frac{5}{4}\)<=> \(\frac{3}{6}+\frac{4}{6}< x< \frac{16}{4}-\frac{5}{4}\)<=> \(\frac{7}{6}< x< \frac{11}{4}\)=> \(\frac{14}{12}< \frac{12x}{12}< \frac{33}{12}\)
=> 14 < 12x < 33 => 12x = 24 => x = 24 : 12 = 2
MN
3 tháng 8 2018
1/5 + 1/5 = 2/5
1/4 + 1/4 = 1/2
1/3 + 1/3 = 2/3
1/2 + 1/2 = 1
1/1 + 1/1 = 2
tk mk nha