1/4+3/7+11/14=?
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\(S=\frac{3}{1\cdot4}+\frac{3}{4\cdot7}+\frac{3}{7\cdot11}+\frac{3}{11\cdot14}+\frac{3}{14\cdot17}\)
\(S=\frac{4-1}{1\cdot4}+\frac{7-4}{4\cdot7}+\frac{11-7}{7\cdot11}+\frac{14-11}{11\cdot14}+\frac{17-14}{14\cdot17}\)
\(S=\frac{4}{1\cdot4}-\frac{1}{1\cdot4}+\frac{7}{7\cdot4}-\frac{4}{4\cdot7}+\frac{11}{7\cdot11}-\frac{7}{7\cdot11}+\frac{14}{11\cdot14}-\frac{11}{11\cdot14}+\frac{17}{14\cdot17}-\frac{14}{14\cdot17}\)
\(S=\frac{1}{1}-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{11}+\frac{1}{11}-\frac{1}{14}+\frac{1}{14}-\frac{1}{17}\)
\(S=\frac{1}{1}-\frac{1}{17}=\frac{17}{17}-\frac{1}{17}=\frac{16}{17}\)
a: \(=3\cdot\dfrac{6+14-9}{42}\cdot\dfrac{14}{11}\)
\(=3\cdot\dfrac{11}{42}\cdot\dfrac{14}{11}=1\)
b: \(=\dfrac{19}{5}\cdot\dfrac{11}{10}+\dfrac{9}{5}\cdot\dfrac{7}{3}\)
\(=\dfrac{209}{50}+\dfrac{63}{15}=4.18+4.2=8,38\)
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
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a) \(\dfrac{1}{3}-\left(-\dfrac{3}{4}\right)-\dfrac{7}{6}\)
\(=\dfrac{1}{3}+\dfrac{3}{4}-\dfrac{7}{6}\)
\(=\dfrac{4}{12}+\dfrac{9}{12}-\dfrac{14}{12}\)
\(=-\dfrac{1}{12}\)
b) \(\dfrac{3}{23}-\dfrac{7}{11}+\dfrac{5}{19}-\dfrac{4}{11}+\dfrac{14}{19}\)
\(=\dfrac{3}{23}+\left(-\dfrac{7}{11}-\dfrac{4}{11}\right)+\left(\dfrac{5}{19}+\dfrac{14}{19}\right)\)
\(=\dfrac{3}{23}-1+1\)
\(=\dfrac{3}{23}\)
c) \(2.\left(4^2-5,31\right)+4,59-\left(-3,17\right)\)
\(=32-10,62+4,59+3,17\)
\(=32-\left(10,62-4,59-3,17\right)\)
\(=32-2,86\)
\(=29,14\)
câu c: 2. (4 ² - 5,31) + 4,59 - (-3,17)
Bạn thiếu 2 rồi
= 41/28
1/4+3/7+11/14
=7/28+12/28+22/28
=19/28+22/28
=41/28