11/4 nhân -5/9 nhân 8/33 cho lời giải chi tiết
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\(\frac{7}{8}\times3,14=\frac{7}{8}\times\frac{157}{50}=\frac{1099}{400}=1099:4:100=274,75:100=2,7475\)
Bài kia của bạn mình làm sai.
\(\frac{7}{8}\)\(.3,14\)
\(=7:8\)\(.3,14\)
\(=0,875.3,14\)
\(=2,7475\)
a, \(\frac{5}{6}\) + \(\frac{7}{8}\) = \(\frac{5x8}{6x8}\) + \(\frac{7x6}{8x6}\) = \(\frac{40}{48}\) + \(\frac{42}{48}\) = \(\frac{82}{48}\) = \(\frac{41}{24}\)
b, \(4\frac{2}{3}\) x \(2\frac{3}{5}\) = \(\frac{4x3+2}{3}\) x \(\frac{2x5+3}{5}\) = \(\frac{14}{3}\) x \(\frac{13}{5}\) = \(\frac{14x13}{3x5}\) = \(\frac{182}{15}\)
c, \(4\frac{3}{4}\) - \(3\frac{2}{3}\) : \(\frac{11}{6}\) = \(\frac{4x4+3}{4}\) - \(\frac{3x3+2}{3}\) : \(\frac{11}{6}\) = \(\frac{19}{4}\) - \(\frac{11}{3}\) : \(\frac{11}{6}\) = \(\frac{19}{4}\) - \(\frac{11x6}{3x11}\) = \(\frac{19}{4}\) - \(\frac{66}{33}\) = \(\frac{19}{4}\) - \(\frac{2}{1}\) = \(\frac{19}{4}\) - \(\frac{2x4}{1x4}\) = \(\frac{19}{4}\) - \(\frac{8}{4}\) = \(\frac{11}{4}\)
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\(\dfrac{2}{1.3}+\dfrac{2}{3.5}+\dfrac{2}{5.7}+\dfrac{2}{7.9}+\dfrac{2}{9.11}\\ =1-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{9}+\dfrac{1}{9}-\dfrac{1}{11}\\ =1-\dfrac{1}{11}=\dfrac{10}{11}\)
\(\dfrac{2}{1\cdot3}+\dfrac{2}{3\cdot5}+\dfrac{2}{5\cdot7}+\dfrac{2}{7\cdot9}+\dfrac{2}{9\cdot11}\\ =1-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{9}+\dfrac{1}{9}-\dfrac{1}{11}\\ =1-\dfrac{1}{11}\\ =\dfrac{10}{11}\)
a)
`7/12+3/4xx2/9`
`=7/12+1/6`
`=7/12+2/12`
`=9/12`
`=3/4`
b)
`8/9-4/15:2/5`
`=8/9-4/15xx5/2`
`=8/9-2/3`
`=8/9-6/9`
`=2/9`
\(\dfrac{11}{4}.\dfrac{-5}{9}.\dfrac{8}{33}\) \(=\dfrac{-55}{36}.\dfrac{8}{33}=\dfrac{-10}{27}\)
= (11/4 x 8/33) x -5/9
= 2/3 x -5/9
= -10/27