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a= (\(\frac{2}{5}\)+\(\frac{2}{9}\)+\(\frac{2}{11}\)\(\times\)\(\frac{5}{7}\)\(+\frac{7}{9}\)\(+\frac{7}{11}\)\()\)
\(\frac{38}{11}+\left(\frac{13}{16}+\frac{6}{11}\right)\)
\(=\left(\frac{38}{11}+\frac{6}{11}\right)+\frac{13}{16}\)
\(=4+\frac{13}{16}\)
\(=\frac{77}{16}\)
---------HOK TỐT---------
Trả lời :
\(\frac{38}{11}+\left(\frac{13}{16}+\frac{6}{11}\right)\)
\(=\frac{38}{11}+\frac{13}{16}+\frac{6}{11}\)
\(=\left(\frac{38}{11}+\frac{6}{11}\right)+\frac{13}{16}\)
\(=4+\frac{13}{16}\)
\(4\frac{13}{16}\)
Câu b:
\(\frac{21}{8}:\frac{5}{6}+\frac{1}{2}:\frac{5}{6}\)
= \(\frac{63}{20}+\frac{3}{5}\)
= \(\frac{15}{4}\)
\(\left(\frac{21}{8}+\frac{1}{2}\right):\frac{5}{6}\)
\(\frac{25}{8}:\frac{5}{6}\)
\(\frac{25}{8}.\frac{6}{5}\)
\(\frac{30}{8}\)
a)(33,76+6,24)+19,52
=40+19,52
=59,52
b) (\(\frac{38}{11}\)+\(\frac{6}{11}\)) +\(\frac{13}{16}\)
=4+\(\frac{13}{16}\)
=\(\frac{77}{16}\)
\(\frac{38}{11}+\left(\frac{13}{16}+\frac{6}{11}\right)\)
\(=\left(\frac{38}{11}+\frac{6}{11}\right)+\frac{13}{16}\)
\(=\frac{44}{11}+\frac{13}{16}\)
\(=4+\frac{13}{16}\)
\(=\frac{64}{16}+\frac{13}{16}\)
\(=\frac{77}{16}\)
Ta có: \(\frac{38}{11}+\left(\frac{13}{16}+\frac{6}{11}\right)\)
\(=\left(\frac{38}{11}+\frac{6}{11}\right)+\frac{13}{16}\)
\(=4+\frac{13}{16}=\frac{77}{16}\)
1/5x8 + 1/8x11 + 1/11x14 + ... + 1/xx(x+3) = 101/1540
1/3 x (3/5x8 + 3/8x11 + 3/11x14 + ... + 3/xx(x+3) = 101/1540
1/3 x (1/5 - 1/8 + 1/8 - 1/11 + 1/11 - 1/14 + ... + 1/x - 1/x+3) = 101/1540
1/3 x (1/5 - 1/x+3) = 101/1540
1/5 - 1/x+3 = 101/1540 : 1/3
1/5 - 1/x+3 = 303/1540
1/x+3 = 1/5 - 303/1540
1/x+3 = 1/308
=> x+3=308
=> x=308-3=305
vậy x=305
1/5x8 + 1/8x11 + 1/11x14 + ... + 1/xx(x+3) = 101/1540
1/3 x (3/5x8 + 3/8x11 + 3/11x14 + ... + 3/xx(x+3) = 101/1540
1/3 x (1/5 - 1/8 + 1/8 - 1/11 + 1/11 - 1/14 + ... + 1/x - 1/x+3) = 101/1540
1/3 x (1/5 - 1/x+3) = 101/1540
1/5 - 1/x+3 = 101/1540 : 1/3
1/5 - 1/x+3 = 303/1540
1/x+3 = 1/5 - 303/1540
1/x+3 = 1/308
=> x+3=308
=> x=308-3=305
vậy x=305
\(x\times\left(\frac{2015}{8\times9}+\frac{1925}{9\times10}+\frac{1795}{10\times11}+\frac{1629}{11\times12}+6\right)=\frac{1}{24}\)
=> \(x\times\left(\frac{2015}{72}+\frac{1925}{90}+\frac{1795}{110}+\frac{1629}{132}+6\right)=\frac{1}{24}\)
=> \(x\times84\frac{3}{88}=\frac{1}{24}\Rightarrow x=\frac{1}{24}:\frac{7395}{88}=\frac{1}{24}\times\frac{88}{7395}=\frac{88}{177480}=\frac{11}{22185}\)