Question

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) \(\left|97\frac{2}{3}-125\frac{3}{5}\right|+97\frac{2}{5}-125\frac{1}{3}\)

Answer 1

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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