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a, \(\frac{3}{5}+\frac{-1}{3}\)
=\(\frac{9}{15}+\frac{-5}{15}\)
=\(\frac{4}{15}\)
b,\(\frac{-2}{13}+\frac{-11}{26}\)
=\(\frac{-4}{26}+\frac{-11}{26}\)
=\(\frac{-15}{26}\)
c, \(-2+\frac{-5}{8}\)
=\(\frac{-16}{8}+\frac{-5}{8}\)
=\(\frac{-21}{8}\)
d,\(\frac{13}{30}-\frac{1}{5}\)
=\(\frac{13}{30}-\frac{6}{30}\)
=\(\frac{7}{30}\)
e,\(\frac{2}{21}-\frac{-1}{28}\)
=\(\frac{56}{588}-\frac{-21}{588}\)
=\(\frac{77}{588}=\frac{11}{84}\)
bài dễ mà <3
a) |3x-2| + 5x = 4x - 10
<=> |3x-2| = -x - 10
Ta có |3x-2| = 3x-2 nếu x>=2/3 ; = -3x + 2 nếu x<2/3
+TH1: 3x-2 = -x - 10
<=> x = -2 (loại vì x < 2/3)
+TH2: -3x + 2 = -x - 10
<=> x = 6 (loại vì x > 2/3)
Vậy không có x thoả mãn
b) 3 + |2x+5| > 13
<=> |2x+5| > 10
Gợi ý: Xét 2TH: 2x + 5 > 10 và 2x + 5< -10 rồi tìm ra x
\(\frac{13}{20}\cdot\left(-7\frac{1}{2}\right)-\frac{13}{20}\cdot12\frac{1}{2}=\frac{13}{20}\left(-7\frac{1}{2}-12\frac{1}{2}\right)=\frac{13}{20}\cdot\left(-20\right)=-13\)
\(\frac{13}{20}\) . ( -7 \(\frac{1}{2}\)) - \(\frac{13}{20}\). 12\(\frac{1}{2}\)
=\(\frac{13}{20}\). ( -7 \(\frac{1}{2}\)-12\(\frac{1}{2}\))
=\(\frac{13}{20}\).\(\frac{-19}{2}\)
=\(\frac{-247}{40}\)
A = \(\left(\frac{1}{15}-\frac{1}{15}\right)\)\(+\left(\frac{3}{7}-\frac{3}{7}\right)\)\(+\left(\frac{5}{9}-\frac{5}{9}\right)\)\(+\left(\frac{2}{11}-\frac{2}{11}\right)\)\(+\left(\frac{7}{13}-\frac{7}{13}\right)\)\(-\frac{9}{16}\)
A = 0 + 0 + 0 + 0 + 0 - \(\frac{9}{16}\)
A = \(-\frac{9}{16}\)
\(A=\frac{1}{5}-\frac{3}{7}+\frac{5}{9}-\frac{2}{11}+\frac{7}{13}-\frac{9}{16}-\frac{7}{13}+\frac{2}{11}-\frac{5}{9}+\frac{3}{7}-\frac{1}{5}\)
\(=\left(\frac{1}{5}-\frac{1}{5}\right)-\left(\frac{3}{7}-\frac{3}{7}\right)+\left(\frac{5}{9}-\frac{5}{9}\right)-\left(\frac{2}{11}-\frac{2}{11}\right)+\left(\frac{7}{13}-\frac{7}{13}\right)-\frac{9}{16}\)
\(=0-0+0-0+0-\frac{9}{16}\)
\(=-\frac{9}{16}\)
Lời giải:
a) $2^3.3^2=8.9=72$
b) $1\frac{4}{5}+\frac{6}{29}-\frac{4}{5}+\frac{23}{29}$
$=1+\frac{4}{5}+\frac{6}{29}-\frac{4}{5}+\frac{23}{29}$
$=1+(\frac{4}{5}-\frac{4}{5})+(\frac{6}{29}+\frac{23}{29})$
$=1+0+\frac{29}{29}=1+0+1=2$
c)
$\frac{-4}{13}.\frac{5}{17}+\frac{-12}{13}.\frac{4}{17}+\frac{4}{13}$
$=\frac{-4}{13}.\frac{5}{17}+\frac{-4}{13}.\frac{12}{17}+\frac{-4}{13}.(-1)$
$=\frac{-4}{13}(\frac{5}{17}+\frac{12}{17}-1)$
$=\frac{-4}{13}.(\frac{17}{17}-1)=\frac{-4}{13}.0=0$
\(\text{a,}\frac{2}{13}.\frac{-5}{3}+\frac{11}{13}.\frac{-5}{3}=-\frac{5}{3}\left(\frac{2}{13}+\frac{11}{13}\right)\)
\(=\frac{-5}{3}.\frac{13}{13}\)
\(=-\frac{5}{3}\)
\(\text{b,}\left(-\frac{1}{3}\right)^2+\left(-\frac{1}{3}\right)^3.27+\left(\frac{-2017}{2018}\right)^0=\frac{1}{9}-\frac{1}{27}.27+1\)
\(=\frac{1}{9}-1+1\)
\(=\frac{1}{9}\)
\(\text{c,}1,2-\sqrt{\frac{1}{4}}:1\frac{1}{20}+\left|\frac{3}{4}-1,25\right|-\left(\frac{-3}{2}\right)^2=\frac{6}{5}-\frac{1}{2}:\frac{21}{20}+\left|\frac{3}{4}-\frac{5}{4}\right|-\frac{9}{4}\)
\(=\frac{6}{5}-\frac{10}{21}+\frac{1}{2}-\frac{9}{4}\)
\(=\frac{-431}{420}\)