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\(-\frac{1}{7}+\frac{5}{3}+\frac{5}{4}+\frac{1}{3}-\frac{3}{2}\)
\(=\left(-\frac{1}{7}+\frac{5}{3}-\frac{3}{2}\right)+\left(\frac{5}{3}+\frac{1}{3}\right)\)
\(=\frac{-6}{42}+\frac{70}{42}-\frac{63}{42}+\frac{6}{3}\)
\(=\frac{-6+70-63}{42}+2\)
\(=\frac{1}{42}+\frac{84}{42}\)
\(=\frac{85}{42}\)
a) \(\frac{5}{6}+\left(-\frac{1}{2}\right)+\frac{3}{4}=\frac{10}{12}+\left(-\frac{6}{12}\right)+\frac{9}{12}=\frac{4}{12}+\frac{9}{12}=\frac{13}{12}\)
b) \(\left(0,75-\frac{1}{3}\right):\frac{7}{15}=\left(\frac{3}{4}-\frac{1}{3}\right).\frac{15}{7}=\left(\frac{9}{12}-\frac{4}{12}\right).\frac{15}{7}=\frac{5}{12}.\frac{15}{7}=\frac{25}{28}\)
c) \(\frac{7}{12}-\frac{3}{4}.\frac{5}{6}=\frac{7}{12}-\frac{5}{8}=-\frac{1}{24}\)
d) \(\left(2\frac{1}{3}+1\frac{3}{4}\right).\frac{12}{13}=\left(\frac{7}{3}+\frac{7}{4}\right).\frac{12}{13}=\left(\frac{28}{12}+\frac{21}{12}\right).\frac{12}{13}=\frac{49}{12}.\frac{12}{13}=\frac{49}{13}\)
P/s: Mình cũng chỉ học khá sương sương thôi, thôi thì kết bạn để tiện trao đổi kiến thức nhé =)))
a/ 5/6 + (-1/2) + 3/4
=10/12 +(-6/12) + 9/12
=13/12
b/(0,75-1/3):7/15
= (3/4-1/3):7/15
= 5/12:7/15
=25/28
c/ 7/12 - 3/4 . 5/6
=7/12 - 5/8
=(-1)/24
d/ (hai1/3 + một3/4) . 12/13
=49/12 . 12/13
=49/13
9/13 x 7/12 + 9/13 x 5/12 - 9/13
= 9/13 x (7/12 + 5/12 - 1)
= 9/13 x 0
= 0
4/13 x 5/12 + 4/13 x 7/12 - 4/3
= 4/13 x (5/12 + 7/12) - 4/3
= 4/13 x 1 - 4/3
= 4/13 - 4/3
= -40/39
a) 32.x+2=1342176728
32.x=134217728-2
32.x=134217726
x=134217726:32
x=4194303,938
(-10/3)^5 . (-6/5)^4
= (-10/3)^4.(-10/3).(-6/5)^4
= [(-10/3).(-6/5)]^4.(-10/3)
= 4^4 . (-10/3)
= 256.(-10/3)
= -2560/3
(3/7)^21:(9/49)^6
=(3/7)^21:[(3/7)^2]^6
=(3/7)^21:(3/7)^12
=(3/7)^21-12
=(3/7)^9
\(\frac{3}{5}-\frac{1}{7}+\frac{2}{5}-\frac{6}{7}-\frac{1}{4}\)
\(=\left(\frac{3}{5}+\frac{2}{5}\right)-\left(\frac{1}{7}+\frac{6}{7}\right)-\frac{1}{4}\)
\(=\frac{5}{5}-\frac{7}{7}-\frac{1}{4}\)
\(=1-1-\frac{1}{4}\)
\(=0-\frac{1}{4}\)
\(=-\frac{1}{4}\)
\(\frac{3}{5}-\frac{1}{7}+\frac{2}{5}-\frac{6}{7}-\frac{1}{4}\)
\(=\left(\frac{3}{5}+\frac{2}{5}\right)-\left(\frac{1}{7}+\frac{6}{7}\right)-\frac{1}{4}\)
\(=1-1-\frac{1}{4}\)
\(=-\frac{1}{4}\)