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=(1/2-3/4)*(1/5-2/5):5/9-3/2
=-1/4*(-1/5)*9/5-3/2
=1/20*9/5-3/2
=9/100-3/2=9/100-150/100=-141/100
= 28/15 . 3/4 - ( 11/20 + 1/4 ) : 7/3
= 28/15 . 3/4 - 4/5 : 7/3
= 7/5 - 12/35
= 37/35
= \(\dfrac{28}{15}\) . \(\dfrac{3}{4}\) - (\(\dfrac{11}{20}\) + \(\dfrac{1}{4}\)) : \(\dfrac{7}{3}\)
= \(\dfrac{7}{5}\) - (\(\dfrac{11}{20}\) + \(\dfrac{5}{20}\)) : \(\dfrac{7}{3}\)
= \(\dfrac{7}{5}\) - \(\dfrac{16}{20}\) : \(\dfrac{7}{3}\)
= \(\dfrac{7}{5}\) - \(\dfrac{16}{20}\) x \(\dfrac{3}{7}\)
= \(\dfrac{7}{5}\) - \(\dfrac{12}{35}\)
= \(\dfrac{49}{35}\) - \(\dfrac{12}{35}\)
= \(\dfrac{37}{35}\)
(-5/24+0,75+7/12).(-2 1/4)
=(-5/24+3/4+7/12).(-9/4)
=9/8.(-9/4)
=-81/32
= 4/9 : -8 - (-1/4 + 9/20) : 14/5
= 4/9 : -8 - 1/5 : 14/5
= -1/18 - 1/5 : 14/5
= -1/18 - 1/14
= -8/63
\(1\dfrac{13}{15}\cdot0,75\cdot\left(\dfrac{8}{15}+0.25\right)\cdot\dfrac{24}{47}\)
= \(\dfrac{28}{15}\cdot\dfrac{3}{4}\cdot\left(\dfrac{8}{15}+\dfrac{1}{4}\right)\cdot\dfrac{24}{47}\)
= \(\dfrac{7}{5}\cdot\dfrac{47}{60}\cdot\dfrac{24}{47}\)
\(=\dfrac{329}{300}\cdot\dfrac{24}{47}\)
\(=\dfrac{14}{25}\)
a) \(0,6+\dfrac{2}{3}=\dfrac{6}{10}+\dfrac{2}{3}=\dfrac{3}{5}+\dfrac{2}{3}=\dfrac{9}{15}+\dfrac{10}{15}=\dfrac{19}{15}\)
b) \(-\dfrac{5}{12}+0,75=-\dfrac{5}{12}+\dfrac{75}{100}=-\dfrac{5}{12}+\dfrac{3}{4}=-\dfrac{5}{12}+\dfrac{9}{12}=\dfrac{4}{12}=\dfrac{1}{3}\)
c) \(\dfrac{1}{3}-\left(-0,4\right)=\dfrac{1}{3}+\dfrac{4}{10}=\dfrac{1}{3}+\dfrac{2}{5}=\dfrac{5}{15}+\dfrac{6}{15}=\dfrac{11}{15}\)
d) \(1\dfrac{3}{5}+\dfrac{5}{6}=\dfrac{8}{5}+\dfrac{5}{6}=\dfrac{48}{40}+\dfrac{25}{30}=\dfrac{73}{30}\)
\(\dfrac{1}{3}-\dfrac{1}{x}=\dfrac{y}{2}\)
\(\Leftrightarrow\dfrac{x-3}{3x}=\dfrac{y}{2}\)
\(\Leftrightarrow2x-6=3xy\)
\(\Leftrightarrow x\left(2-3y\right)=6\)
\(x,2-3y\) là các ước của \(6\) nên ta có bảng giá trị:
x | -6 | -3 | -2 | -1 | 1 | 2 | 3 | 6 |
2-3y | -1 | -2 | -3 | -6 | 6 | 3 | 2 | 1 |
y | 1 | 4/3(l) | 5/3(l) | 8/3(l) | -4/3(l) | -1/3(l) | 0 | 1/3(l) |
\(\dfrac{1}{2}-\left(40\%-0,75\right)=\dfrac{1}{2}-\left(\dfrac{40}{100}-\dfrac{3}{4}\right)=\dfrac{1}{2}-\dfrac{-7}{20}=\dfrac{1}{2}+\dfrac{7}{20}=\dfrac{17}{20}\)
hi