1/9 . 2/145 - 4 1/3 . 2/145 + 2/145
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\(\frac{1}{9}.\frac{2}{145}-\frac{13}{3}:\frac{1}{145}+\frac{2}{145}=\frac{2}{145}\left(\frac{1}{9}+1\right)-\frac{13}{3}:\frac{1}{145}=\frac{2}{145}.\frac{10}{9}-\frac{1885}{3}=\frac{4}{216}-\frac{1885}{3}\)
\(=-\frac{33929}{54}\)
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a,\(\frac{3}{2}\cdot\frac{7}{3}+\frac{4}{3}\cdot\frac{1}{2}\)=\(\frac{7}{2}+\frac{2}{3}\)=\(\frac{25}{6}\)
b,\(\frac{2}{145}\cdot\left(\frac{1}{9}-\frac{13}{3}+1\right)\)=\(\frac{2}{145}.-\frac{29}{9}=-\frac{2}{45}\)
c.\(\frac{15}{7}:\left(-\frac{31}{12}-\frac{1}{18}-\frac{20}{9}\right)\)=\(\frac{15}{7}:\left(-\frac{175}{36}\right)=-\frac{108}{245}\)
\(1\frac{1}{2}.2\frac{1}{3}+1\frac{1}{3}.\frac{1}{2}\)
\(=\frac{3}{2}.\frac{7}{3}+\frac{4}{3}.\frac{1}{2}\)
\(=\frac{7}{2}+\frac{2}{3}\)
\(=\frac{25}{6}\)
\(\frac{1}{9}.\frac{2}{145}-4\frac{1}{3}.\frac{2}{145}+\frac{2}{145}\)
\(=\frac{2}{1305}-\frac{13}{3}.\frac{2}{145}+\frac{2}{145}\)
\(=\frac{2}{1305}-\frac{26}{435}+\frac{2}{145}\)
\(=\frac{-2}{45}\)
\(\left(-2\frac{7}{12}\right):2\frac{1}{7}-\frac{1}{18}:2\frac{1}{7}+2\frac{2}{9}:2\frac{1}{7}\)
\(=\frac{-17}{12}:\frac{15}{7}-\frac{1}{18}:\frac{15}{7}+\frac{20}{9}:\frac{15}{7}\)
\(=\left(\frac{-17}{2}-\frac{1}{18}+\frac{20}{9}\right):\frac{15}{7}\)
\(=\frac{-19}{3}.\frac{7}{15}\)
\(=\frac{-133}{45}\)
học tốt
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xin lỗi nha
\(=\frac{2}{145}\left(\frac{1}{9}+1\right)-\frac{13}{3}.\frac{1}{145}\)
\(=\frac{2}{145}.\frac{10}{9}-\frac{13}{3}.\frac{1}{145}\)
\(=\frac{1}{145}+\frac{1}{145}.\frac{10}{9}-\frac{13}{3}.\frac{1}{145}\)
\(=\frac{1}{145}\left(\frac{10}{9}-\frac{13}{3}+1\right)\)
\(=\frac{1}{145}.-\frac{20}{9}\)
\(=-\frac{4}{261}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) \(\frac{3}{2}.\frac{7}{2}+\frac{5}{3}.\frac{1}{2}=\frac{21}{2}+\frac{5}{6}=\frac{63}{6}+\frac{5}{6}=\frac{68}{6}=\frac{34}{3}\)
b) \(\frac{1}{9}.\frac{2}{145}-\frac{13}{3}.\frac{2}{145}+\frac{2}{145}=\frac{2}{145}\left(\frac{1}{9}-\frac{39}{9}+\frac{9}{9}\right)=\frac{2}{145}\left(-29\right)=-0.4\)
c) \(\left(-\frac{91}{12}\right):\frac{15}{7}-\frac{1}{18}:\frac{15}{7}+\frac{20}{9}:\frac{15}{7}=\frac{7}{15}\left(-\frac{91}{12}-\frac{1}{18}+\frac{20}{9}\right)=\frac{7}{15}\left(-\frac{65}{12}\right)=-\frac{91}{36}\)
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a) \(\dfrac{-5}{9}.\dfrac{3}{11}+\dfrac{-13}{18}.\dfrac{3}{11}\)
\(=\dfrac{3}{11}.\left(\dfrac{-5}{9}+\dfrac{-13}{9}\right)\)
\(=\dfrac{3}{11}.\left(-2\right)\)
\(=\dfrac{-6}{11}\)
b) \(\dfrac{11}{2}.2\dfrac{1}{3}-1\dfrac{1}{5}.1\dfrac{1}{2}\)
\(=\dfrac{11}{3}.\dfrac{7}{3}-\dfrac{6}{5}.\dfrac{3}{2}\)
\(=\dfrac{77}{9}-\dfrac{9}{5}\)
\(=\dfrac{385}{45}-\dfrac{81}{45}\)
\(=\dfrac{304}{45}\)
c) \(1\dfrac{1}{9}.\dfrac{2}{145}-4\dfrac{1}{3}-\dfrac{2}{145}+\dfrac{2}{145}\)
\(=\dfrac{10}{9}.\dfrac{2}{145}-\dfrac{8}{3}\)
\(=\dfrac{4}{261}-\dfrac{8}{3}\)
\(=\dfrac{4}{261}-\dfrac{696}{261}\)
\(=-\dfrac{692}{261}\)
d) \(1-\dfrac{1}{2}+2-\dfrac{2}{3}+3-\dfrac{3}{4}+4-\dfrac{1}{4}-3-\dfrac{1}{3}-2-\dfrac{1}{2}-1\)
\(=\left(1-1\right)+\left(2-2\right)+\left(3-3\right)+4-\left(\dfrac{1}{2}+\dfrac{1}{2}\right)-\left(\dfrac{2}{3}+\dfrac{1}{3}\right)-\left(\dfrac{3}{4}+\dfrac{1}{4}\right)\)
\(=0+0+0+4-1-1-1\)
\(=4-3\)
\(=1\)
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1/ -2020 + (1543 + 2020)
\(=-2020+1543+2020\)
\(=-2020+2020+1543\)
\(=0+1543\)
\(=1543\)
2/ (245 – 97) – 245
\(=245-97-245\)
\(=245-245-97\)
\(=0-97\)
\(=-97\)
3/ (-145) – (118 – 145)
\(=-145-118+145\)
\(=-145+145-118\)
\(=0-118\)
\(=-118\)
4/ (-36 + 89) - (145 + 89 – 36)
\(=-36+89-145-89+36\)
\(=\left(-36+36\right)+\left(89-89\right)-145\)
\(=0+0-145\)
\(=-145\)
học tốt
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1; - 7264 + (1543 + 7264)
= - 7264 + 1543 + 7264
= (-7264 + 7264) + 1543
= 0 + 1543
= 1543
2; (14497) - 144
= 14497 - 144
= 14353
3; (-145).(18145)
= -145.18145
= -2631025
4; 111 + (-11 + 27)
= 111 + 16
= 127
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Giải:
a) \(1\dfrac{1}{2}.2\dfrac{1}{3}+1\dfrac{1}{3}.\dfrac{1}{2}\)
\(=\dfrac{3}{2}.\dfrac{7}{3}+\dfrac{4}{3}.\dfrac{1}{2}\)
\(=\dfrac{21}{6}+\dfrac{4}{6}\)
\(=\dfrac{1}{6}\left(21+4\right)\)
\(=\dfrac{25}{6}\)
b) \(\dfrac{1}{9}.\dfrac{2}{145}-4\dfrac{1}{3}.2\dfrac{2}{145}+\dfrac{2}{145}\)
\(=\dfrac{1}{9}.\dfrac{2}{145}-\dfrac{13}{3}.\dfrac{292}{145}+\dfrac{2}{145}\)
\(=\dfrac{2}{145}\left(\dfrac{1}{9}-\dfrac{13}{3}.146+1\right)\)
\(=\dfrac{2}{145}\left(-\dfrac{5684}{9}\right)\)
\(=-\dfrac{392}{45}\)
Vậy ...
![](https://rs.olm.vn/images/avt/0.png?1311)
Giải:
a) \(1\dfrac{1}{2}.2\dfrac{1}{3}+1\dfrac{1}{3}.\dfrac{1}{2}\)
\(=\dfrac{3}{2}.\dfrac{7}{3}+\dfrac{4}{3}.\dfrac{1}{2}\)
\(=\dfrac{21}{6}+\dfrac{4}{6}\)
\(=\dfrac{1}{6}\left(21+4\right)\)
\(=\dfrac{1}{6}.25=\dfrac{25}{6}\)
b) \(\dfrac{1}{9}.\dfrac{2}{145}-4\dfrac{1}{3}.\dfrac{2}{145}+\dfrac{2}{145}\)
\(=\dfrac{1}{9}.\dfrac{2}{145}-\dfrac{13}{3}.\dfrac{2}{145}+\dfrac{2}{145}\)
\(=\dfrac{2}{145}\left(\dfrac{1}{9}-\dfrac{13}{3}+1\right)\)
\(=\dfrac{2}{145}\left(-\dfrac{29}{9}\right)\)
\(=-\dfrac{2}{45}\)
Vậy ...
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