Tính 5/6 + 3/10 + 11/30
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\(a)-\left(\frac{3}{10}-\frac{6}{11}\right)-\left(\frac{21}{30}-\frac{5}{11}\right)\)
\(=-\frac{3}{10}+\frac{6}{11}-\frac{21}{30}+\frac{5}{11}\)
\(=\left(-\frac{3}{10}-\frac{21}{30}\right)+\left(\frac{6}{11}+\frac{5}{11}\right)\)
\(=-1+1\)
\(=0\)
\(b)\left(\frac{13}{5}+\frac{7}{16}\right)-\left(\frac{11}{16}-\frac{12}{10}\right)\)
\(=\frac{13}{5}+\frac{7}{16}-\frac{11}{16}+\frac{12}{10}\)
\(=\left(\frac{13}{5}+\frac{12}{10}\right)+\left(\frac{7}{16}-\frac{11}{16}\right)\)
\(=\frac{19}{5}+\left(-\frac{1}{4}\right)\)
\(=\frac{71}{20}\)
a) \(-\left(\frac{3}{10}-\frac{6}{11}\right)-\left(\frac{21}{30}-\frac{5}{11}\right)\)
\(=\frac{-3}{10}+\frac{6}{11}-\frac{21}{30}+\frac{5}{11}\)
\(=\left(\frac{-3}{10}-\frac{21}{30}\right)+\left(\frac{6}{11}+\frac{5}{11}\right)\)
\(=\left(\frac{-9}{30}-\frac{21}{30}\right)+1\)
\(=-1+1\)
= 0
b) \(\left(\frac{13}{5}+\frac{7}{16}\right)-\left(\frac{11}{16}-\frac{12}{10}\right)\)
\(=\frac{13}{5}+\frac{7}{16}-\frac{11}{16}+\frac{12}{10}\)
\(=\left(\frac{13}{5}+\frac{12}{10}\right)+\left(\frac{7}{16}-\frac{11}{16}\right)\)
\(=\left(\frac{26}{10}+\frac{12}{10}\right)-4\)
= \(\frac{19}{5}-4\)
= \(\frac{-1}{5}\)
(3/10 - 6/11) - (21/30 - 5/11) - (-1/2 +20%)
=3/10 - 6/11-21/30+5/11+1/2-1/5
=3/10 -6/11 - 7/10 +5/11 +5/10 -2/10
=(3/10-7/10+5/10-2/10)-(6/11+5/11)
=-1/10 - 1
=-11/10
=
=(3/2-9/10)+(5/6-17/42)+(7/12-13/4)+11/30-15/56
=3/5+37+(-29/12)+11/30-15/56
=29/30+39/56+29/12
=227/840
NHỚ K MÌNH NHA
\(\frac{3}{2}.\frac{7}{2}+\left(\frac{-5}{6}+\frac{1}{10}\right):\frac{11}{30}\)
\(\frac{3}{2}x\frac{7}{2}+\frac{-11}{15}:\frac{11}{30}\)
\(\frac{3}{2}x\frac{7}{2}+-2\)
\(\frac{21}{4}+\left(-2\right)\)
13/4
3/2 . 7/2 + (-5/6 +1/10 ):11/30
= 21/4 + (-11/15) : 11/30
= 21/4 + (-2)
= 13/4
chúc bn học tốt !~#
\(\dfrac{3}{2}.\dfrac{7}{2}+\left(\dfrac{-5}{6}+\dfrac{1}{10}\right):\dfrac{11}{30}\)
=\(\dfrac{21}{4}\)+(\(\dfrac{-25}{30}+\dfrac{3}{30}\)):\(\dfrac{11}{30}\)
=\(\dfrac{21}{4}\)+\(\dfrac{-11}{15}\):\(\dfrac{11}{30}\)
=\(\dfrac{21}{4}\)+(-2)
=\(\dfrac{21}{4}\)+\(\dfrac{-8}{4}\)=\(\dfrac{13}{4}\)
\(\dfrac{3}{2}.\dfrac{7}{2}+\left(\dfrac{-5}{6}+\dfrac{1}{10}\right):\dfrac{11}{30}\)
\(=\dfrac{21}{4}+\dfrac{-11}{15}:\dfrac{11}{30}\)
\(=\dfrac{21}{4}+\left(-2\right)\)
\(=\dfrac{13}{4}\)
\(\frac{5}{6}+\frac{11}{12}+\frac{19}{20}+...+\frac{89}{90}\)
\(=1-\frac{1}{6}+1-\frac{1}{12}+1-\frac{1}{20}+...+1-\frac{1}{90}\)
\(=8-\left(\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+...+\frac{1}{90}\right)\)
\(=8-\left(\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{9.10}\right)\)
\(=8-\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+....+\frac{1}{9}-\frac{1}{10}\right)\)
\(=8-\left(\frac{1}{2}-\frac{1}{10}\right)\)
\(=\frac{38}{5}\)
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