Question

Tính:

\(a.\) \(\left(\frac{-3}{4}+\frac{2}{5}\right):\frac{3}{7}+\left(\frac{3}{5}+\frac{-1}{4}\right):\frac{3}{7}\)

\(b.\) \(\frac{2}{8}:\left(\frac{2}{9}-\frac{1}{18}\right)+\frac{7}{8}:\left(\frac{1}{36}-\frac{5}{12}\right)\)

Answer 1

a) \(\left(\frac{-3}{4}+\frac{2}{5}\right):\frac{3}{7}+\left(\frac{3}{5}+\frac{-1}{4}\right):\frac{3}{7}\)

= \(\left(-\frac{3}{4}+\frac{2}{5}+\frac{3}{5}+\frac{-1}{4}\right):\frac{3}{7}\)

= \(0:\frac{3}{7}\)

= \(0\)

Answer 2

b) \(\frac{2}{8}:\left(\frac{2}{9}-\frac{1}{18}\right)+\frac{7}{8}:\left(\frac{1}{36}-\frac{5}{12}\right)\)

= \(\frac{1}{4}:\frac{1}{6}+\frac{7}{8}:\frac{-7}{18}\)

=\(\frac{1}{4}.6+\frac{7}{8}.\frac{-18}{7}\)

= \(\frac{3}{2}-\frac{3}{4}\)

= \(\frac{3}{4}\)

Answer 3

a.\(\left(\frac{-3}{4}+\frac{2}{5}\right):\frac{3}{7}+\left(\frac{3}{5}+\frac{-1}{4}\right)\)\(:\frac{3}{7}\)

=\(\left(\frac{-3}{4}+\frac{2}{5}+\frac{3}{5}+\frac{-1}{4}\right):\frac{3}{7}\)

=\(\left(\frac{-3}{4}+\frac{-1}{4}+\frac{2}{5}+\frac{3}{5}\right):\frac{3}{7}\)

=\(\left(-1+1\right):\frac{3}{7}\)

=0   :\(\frac{3}{7}\)=0

b.\(\frac{2}{8}:\left(\frac{2}{9}-\frac{1}{18}\right)+\frac{7}{8}:\left(\frac{1}{36}-\frac{5}{12}\right)\)

=\(\frac{2}{8}:\left(\frac{4}{18}-\frac{1}{18}\right)+\frac{7}{8}:\left(\frac{1}{36}-\frac{15}{36}\right)\)

=\(\frac{2}{8}:\frac{3}{18}+\frac{7}{8}:\left(\frac{-14}{36}\right)\)

=\(\frac{1}{4}.6+\frac{7}{8}.\left(\frac{-18}{7}\right)\)

=\(\frac{3}{2}+\left(\frac{-9}{4}\right)\)

=\(\frac{6}{4}+\left(\frac{-9}{4}\right)\)

=\(\frac{-3}{4}\)

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