Tính nhanh:
a).31/17+5/13+8/13-14/17 ; b).5/7x22/11+5/7x9/11+5/7
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a: =-3/24-40/24
=-43/24
b: \(=\dfrac{6}{54}\cdot\dfrac{49}{35}=\dfrac{1}{9}\cdot\dfrac{7}{5}=\dfrac{7}{45}\)
c: \(=\dfrac{6}{5}+\dfrac{4}{3}=\dfrac{18+20}{15}=\dfrac{38}{15}\)
d: \(=\dfrac{31}{17}-\dfrac{14}{17}-\dfrac{5}{13}-\dfrac{8}{13}=1-1=0\)
a: =35/17-18/17-9/5+4/5
=1-1=0
b: =-7/19(3/17+8/11-1)
=7/19*18/187=126/3553
c: =26/15-11/15-17/3-6/13
=1-6/13-17/3
=7/13-17/3=-200/39
\(\dfrac{2}{3}+\dfrac{5}{7}+\left(\dfrac{-2}{3}\right)\)
=\(\left[\dfrac{2}{3}+\left(\dfrac{-2}{3}\right)\right]+\dfrac{5}{7}\)
=\(0+\dfrac{5}{7}=\dfrac{5}{7}\)
\(\dfrac{31}{17}+\left(\dfrac{-5}{13}\right)+\left(\dfrac{-8}{13}\right)-\dfrac{14}{17}\)
=\(\left(\dfrac{31}{17}-\dfrac{14}{17}\right)+\left[\left(\dfrac{-5}{13}\right)+\left(\dfrac{-8}{13}\right)\right]\)
=\(1+\left(-1\right)\)
=\(0\)
\(\dfrac{2}{3}+\dfrac{5}{7}+\left(-\dfrac{2}{3}\right)=\dfrac{5}{7}\)
\(\dfrac{31}{17}+\left(-\dfrac{5}{13}\right)+\left(-\dfrac{8}{13}\right)-\dfrac{14}{17}=1-1=0\)
31/17+(-5/13)+(-8/13)-14/17
=(31/17-14/17)+[-5/13+(-8/13)]
=1+(-1)
=0
\(\frac{31}{17}+\frac{-5}{13}+\frac{-8}{13}-\frac{14}{17}\)
\(=\left[\frac{31}{17}-\frac{14}{17}\right]+\left[\frac{-5}{13}+\frac{-8}{13}\right]\)
\(=1+(-1)=0\)
a,\(\frac{31}{17}+\frac{5}{13}+\frac{8}{13}-\frac{14}{17}=\left(\frac{31}{17}-\frac{14}{17}\right)+\left(\frac{5}{13}+\frac{8}{13}\right)=1+1=2\) b,\(\frac{5}{7}.\frac{22}{11}+\frac{5}{7}.\frac{9}{11}+\frac{5}{7}=\frac{5}{7}.\left(\frac{22}{11}+\frac{9}{11}+1\right)=\frac{5}{7}.4=\frac{20}{7}\)
thank