Tính = cák hợp lý:
a) \(139\frac{5}{7}:\frac{2}{3}-138\frac{2}{7}:\sqrt{\frac{4}{9}}\)
b) \(\left(\frac{-5}{11}:\frac{13}{18}-\frac{5}{11}:\frac{13}{5}\right)+\frac{-1}{33}\)
c) \(\left|97\frac{2}{3}-125\frac{3}{5}\right|+97\frac{2}{5}-125\frac{1}{3}\)
a, \(139\frac{5}{7}:\frac{2}{3}−138\frac{2}{7}:\sqrt{\frac{4}{9}} \)
= \(139\frac{5}{7}:\frac{2}{3}−138\frac{2}{7}:\frac{2}{3}\)
= \((139\frac{5}{7}−138\frac{2}{7}):\frac{2}{3}\)
= \(1\frac{3}{7}:\frac{2}{3}\)
= \(2\frac{1}{7}\)
b, \((\frac{-5}{11}:\frac{13}{18}-\frac{5}{11}:\frac{13}{5})+\frac{-1}{33} \)
= \((\frac{5}{11}.\frac{-18}{13}-\frac{5}{11}.\frac{5}{13})+\frac{-1}{33}\)
= \([\frac{5}{11}.(\frac{-18}{13}-\frac{5}{13})]+\frac{-1}{33}\)
= \((\frac{5}{11}.\frac{-23}{13})+\frac{-1}{33}\)
= \(\frac{-155}{143}+\frac{-1}{33}\)
= \(\frac{-358}{429} \)
c, \(∣97\frac{2}{3}-125\frac{3}{5}∣+97\frac{2}{3}-125\frac{3}{5} \)
= \(∣\frac{-419}{15}∣+97\frac{2}{3}-125\frac{3}{5}\)
= \(\frac{419}{15}+97\frac{2}{3}-125\frac{3}{5}\)
= \(0\)
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