Em hãy thực hiện các phép tính sau :
a, \(\text{0.24-15/4}\) b, \(\frac{5}{9}:\left(\frac{1}{11}-\frac{5}{22}\right)+\frac{5}{9}:\left(\frac{1}{15}-\frac{2}{3}\right)\)
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\(\frac{5}{9}:\left(\frac{1}{11}-\frac{5}{22}\right)+\frac{5}{9}:\left(\frac{1}{15}-\frac{2}{3}\right)\)
\(=\frac{5}{9}:\left(\frac{-3}{22}\right)+\frac{5}{9}:\left(\frac{-3}{5}\right)\)
\(=\frac{5}{9}.\left(-\frac{22}{3}\right)+\frac{5}{9}.\left(-\frac{5}{3}\right)\)
\(=\frac{5}{9}.\left[-\frac{22}{3}+\left(-\frac{5}{3}\right)\right]\)
\(=\frac{5}{9}.\left(-9\right)\)
\(=-5\)
\(\frac{5}{9}:\left(\frac{1}{11}-\frac{5}{22}\right)+\frac{5}{9}:\left(\frac{1}{15}-\frac{2}{3}\right)\)
\(=\frac{5}{9}:\left[\left(\frac{1}{11}-\frac{5}{22}\right)+\left(\frac{1}{15}-\frac{2}{3}\right)\right]\)
\(=\frac{5}{9}:\left[-\frac{3}{22}-\frac{3}{5}\right]\)
\(=\frac{5}{9}:\frac{-81}{110}=\frac{5}{9}.\frac{-110}{81}\)
\(=-\frac{550}{729}\)
a) \(\left(2\frac{5}{6}+1\frac{4}{9}\right):\left(10\frac{1}{12}-9\frac{1}{2}\right)\)
\(=\left(\frac{17}{6}+\frac{13}{9}\right):\left(\frac{121}{12}-\frac{19}{2}\right)\)
\(=\frac{77}{18}:\frac{7}{12}\)
\(=\frac{22}{3}\)
b) \(1\frac{5}{18}-\frac{5}{18}.\left(\frac{1}{15}+1\frac{1}{12}\right)\)
\(=\frac{23}{18}-\frac{5}{18}.\left(\frac{1}{15}+\frac{13}{12}\right)\)
\(=\frac{23}{18}-\frac{5}{18}.\frac{23}{20}\)
\(=\frac{23}{18}-\frac{23}{72}\)
\(=\frac{23}{24}\)
c) \(-1\frac{1}{7}.\left(9\frac{1}{2}-8,75\right):\frac{2}{7}+0,625:1\frac{2}{3}\)
\(=\frac{-8}{7}.\left(\frac{19}{2}-\frac{35}{4}\right):\frac{2}{7}+\frac{5}{8}:\frac{5}{3}\)
\(=\frac{-8}{7}.\frac{3}{4}:\frac{2}{7}+\frac{3}{8}\)
\(=\frac{-8}{7}.\frac{3}{4}.\frac{7}{2}+\frac{3}{8}\)
\(=-3+\frac{3}{8}\)
\(=\frac{-21}{8}\)
Chúc bn học tốt !!
Ta có: \(\frac{5}{9}:\left(\frac{1}{11}-\frac{5}{22}\right)+\frac{5}{9}:\left(\frac{1}{15}-\frac{2}{3}\right)\)
\(=\frac{5}{9}:\left(\frac{2}{22}-\frac{5}{22}\right)+\frac{5}{9}:\left(\frac{1}{15}-\frac{10}{15}\right)\)
\(=\frac{5}{9}:\frac{-3}{22}+\frac{5}{9}:\frac{-9}{15}=\frac{5}{9}\cdot\frac{-22}{3}+\frac{5}{9}\cdot\frac{-5}{3}\)
\(=\frac{5}{9}\left(-\frac{22}{3}+\frac{-5}{3}\right)=\frac{5}{9}\cdot-9=-5\)
\(\frac{5}{9}.\left(\frac{1}{11}-\frac{5}{22}\right)+\frac{5}{9}.\left(\frac{1}{15}-\frac{2}{3}\right)\)
= \(\frac{5}{9}.\left(-\frac{3}{22}\right)+\frac{5}{9}.\left(-\frac{3}{5}\right)\)
= \(\frac{5}{9}.\left(-\frac{3}{22}+\frac{-3}{5}\right)\)
= \(\frac{5}{9}.\left(-\frac{81}{110}\right)\)
= \(-\frac{9}{22}\)
BT = \(\frac{5}{9}\left(\frac{2}{22}-\frac{5}{22}\right)+\frac{5}{9}\left(\frac{1}{15}-\frac{10}{15}\right)\)
= \(\frac{5}{9}.\frac{-3}{22}+\frac{5}{9}.\frac{-3}{5}\)
= \(\frac{-5}{3}\left(\frac{1}{22}+\frac{1}{5}\right)\) = \(\frac{-5}{3}\left(\frac{5}{110}+\frac{22}{110}\right)\) = \(\frac{-5}{3}.\frac{27}{110}=\frac{-9}{22}\)
Simplify 0.24*(-15)/4
Simplify 5/9/(1/11-5/22)+5/9/(1/15-2/3)