Tính nhanh :3/7 × 5/4 - 5/4 × 5/14 giúp mình với
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a) \(\frac{3}{5}:\left(-\frac{1}{15}-\frac{1}{6}\right)+\frac{3}{5}:\left(-\frac{1}{3}-1\frac{1}{15}\right)\)
\(=\frac{3}{5}:\left(-\frac{1}{15}-\frac{1}{6}-\frac{2}{6}-1+\frac{1}{15}\right)\)
\(=\frac{3}{5}:\left(-\frac{1}{2}-1\right)\)
\(=\frac{3}{5}:\left(-\frac{3}{2}\right)\)
\(=-\frac{2}{5}\)
b) \(\left(-\frac{3}{4}+\frac{5}{13}\right):\frac{2}{7}-\left(2\frac{1}{4}+\frac{8}{13}\right):\frac{2}{7}\)
\(=\left(-\frac{3}{4}+\frac{5}{13}-2+\frac{1}{4}+\frac{8}{13}\right):\frac{2}{7}\)
\(=\left(-\frac{1}{2}+1-2\right):\frac{2}{7}\)
\(=\left(-\frac{1}{2}-1\right):\frac{2}{7}\)
\(=-\frac{3}{2}:\frac{2}{7}\)
\(=-\frac{21}{4}\)
a. \(\dfrac{656565}{272727}=\dfrac{65}{27}\)
b. \(\dfrac{2}{7}\left(\dfrac{3}{4}+\dfrac{9}{4}\right)=\dfrac{6}{7}\)
\(A=\left(-\frac{4}{5}+\frac{4}{3}\right)+\left(-\frac{5}{4}+\frac{14}{5}\right)-\frac{7}{3}\)
\(=-\frac{4}{5}+\frac{4}{3}-\frac{5}{4}+\frac{14}{5}-\frac{7}{3}\)
\(=2-1-\frac{5}{4}=-\frac{1}{4}\)
\(B=\frac{8}{3}\cdot\frac{2}{5}\cdot\frac{3}{8}\cdot10\cdot\frac{19}{92}\)
\(=1\cdot4\cdot\frac{19}{92}\)
\(=437\)
= \(\frac{1}{2}\)- \(\frac{2}{3}\)+ (\(\frac{3}{4}\)- \(\frac{3}{4}\)) + ( -\(\frac{4}{5}\)+ \(\frac{4}{5}\)) + ( \(\frac{5}{6}-\frac{5}{6}\)) - \(\frac{6}{7}\)
= \(\frac{1}{2}-\frac{2}{3}-0-0-0-\frac{6}{7}\)
= \(\frac{1}{2}-\frac{2}{3}-\frac{6}{7}\)
=\(\frac{21}{42}-\frac{28}{42}-\frac{36}{42}\)
= \(\frac{-43}{42}\)
3/7 × 5/4 - 5/4 × 5/14
= 5/4 × (3/7 - 5/14)
= 5/4 × 1/14
= 5/56
=5/4x(3/7-5/14)
=5/4x1/14
=5/66