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\(\left(\frac{-2}{5}+\frac{3}{7}\right)-\left(\frac{4}{9}+\frac{12}{20}-\frac{13}{35}\right)+\frac{7}{35}\)
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a) \(74\frac{19}{35}.\frac{7}{90}+15\frac{16}{35}.\frac{7}{90}+2\frac{14}{90}\)
= \(\left(74\frac{19}{35}+15\frac{16}{35}\right).\frac{7}{90}+2\frac{14}{90}\)
= 90 . 7/90 + 194/90
= 630/90 + 194/90
= 824/90 = 412/45
b) (-2/5 + 3/7) - (4/9 + 12/20 - 13/35) + 7/35
= -2/5 + 3/7 - 4/9 - 3/5 + 13/35 + 7/35
= (-2/5 - 3/5) + 3/7 - 4/9 + (13/35 + 7/35)
= -1 + 3/7 - 4/9 + 4/7
= -1 + (3/7 + 4/7) - 4/9
= -1 + 1 - 4/9 = -4/9
\(\left(\frac{-1}{2}\right)\)+ \(\left(\frac{-1}{9}\right)\)\(-\frac{7}{18}\)\(-\left(-\frac{3}{5}\right)\)\(-\left(-\frac{2}{7}\right)\)\(+\frac{4}{35}\)+ \(\frac{1}{71}\)
=\(\frac{-9-2-7}{18}\)\(-\frac{-21-10-4}{35}\)+\(\frac{1}{71}\)
=\(\frac{-18}{18}\)\(-\frac{-35}{35}\)+\(\frac{1}{71}\)
=-1 -(-1)+\(\frac{1}{71}\)
=\(\frac{1}{71}\)
\(\left(-\frac{2}{7}+\frac{1}{5}\right):\frac{9}{35}+\left(\frac{4}{5}-\frac{5}{7}\right):\frac{9}{35}\)
\(=\left(-\frac{2}{7}+\frac{1}{5}+\frac{4}{5}-\frac{5}{7}\right):\frac{9}{35}\)
\(=0:\frac{9}{35}\)
\(=0\)
\(=\frac{-3}{35}\div\frac{9}{35}+\frac{3}{35}\div\frac{9}{35}\)
\(=\left(-\frac{3}{35}+\frac{3}{35}\right)\div\frac{9}{35}\)
\(=0\div\frac{9}{35}\)
\(=0\)
\(-\frac{4}{9}\)