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\(\left(13\frac{4}{9}+2\frac{1}{9}\right)-3\frac{4}{9}\)
\(=\left(\frac{121}{9}+\frac{19}{9}\right)-\frac{31}{9}\)
\(=\frac{140}{9}-\frac{31}{9}\)
\(=\frac{109}{9}\)
\(1,25\div\frac{15}{20}+\left(25\%-\frac{5}{6}\right)\div4\frac{2}{3}\)
\(=1,25\div\frac{3}{4}+\left(\frac{25}{100}-\frac{5}{6}\right)\div\frac{14}{3}\)
\(=1,25\times\frac{4}{3}+\left(\frac{6}{24}-\frac{20}{24}\right)\div\frac{14}{3}\)
\(=\frac{5}{3}+\frac{-14}{24}\times\frac{14}{3}\)
\(=\frac{60}{36}+\frac{-98}{36}\)
\(=\frac{-38}{36}=\frac{-19}{18}\)
a: \(=\dfrac{2}{3}-\dfrac{2}{5}=\dfrac{10-6}{15}=\dfrac{4}{15}\)
b: \(=\dfrac{9}{12}-\dfrac{10}{12}+\dfrac{11}{12}=\dfrac{10}{12}=\dfrac{5}{6}\)
c: \(=\dfrac{1}{4}-\dfrac{3}{2}+\dfrac{1}{2}\cdot\dfrac{12}{5}+\dfrac{1}{20}=\dfrac{-5}{4}+\dfrac{6}{5}+\dfrac{1}{20}=0\)
d: \(=\dfrac{1}{25}\cdot\dfrac{20}{15}+\left(\dfrac{1}{4}-\dfrac{5}{6}\right):\dfrac{14}{3}=-\dfrac{43}{600}\)
a; - \(\dfrac{10}{13}\) + \(\dfrac{5}{17}\) - \(\dfrac{3}{13}\) + \(\dfrac{12}{17}\) - \(\dfrac{11}{20}\)
= - (\(\dfrac{10}{13}\) + \(\dfrac{3}{13}\)) + (\(\dfrac{5}{17}\) + \(\dfrac{12}{17}\)) - \(\dfrac{11}{20}\)
= - 1 + 1 - \(\dfrac{11}{20}\)
= 0 - \(\dfrac{11}{20}\)
= - \(\dfrac{11}{20}\)
b; \(\dfrac{3}{4}\) + \(\dfrac{-5}{6}\) - \(\dfrac{11}{-12}\)
= \(\dfrac{9}{12}\) - \(\dfrac{10}{12}\) + \(\dfrac{11}{12}\)
= \(\dfrac{10}{12}\)
= \(\dfrac{5}{6}\)
c; [13.\(\dfrac{4}{9}\) + 2.\(\dfrac{1}{9}\)] - 3.\(\dfrac{4}{9}\)
= [\(\dfrac{52}{9}\) + \(\dfrac{2}{9}\)] - \(\dfrac{4}{3}\)
= \(\dfrac{54}{9}\) - \(\dfrac{4}{3}\)
= \(\dfrac{14}{3}\)
\(a.\frac{8}{7}+\frac{4}{7}\times\left(-\frac{6}{11}\right)-\frac{4}{7}\times\frac{5}{11}\)
\(=\frac{8}{7}+\frac{4}{7}\left(-\frac{6}{11}-\frac{5}{11}\right)\)
\(=\frac{8}{7}+\frac{4}{7}.\left(-1\right)\)
\(=\frac{8}{7}-\frac{4}{7}\)
\(=\frac{4}{7}\)
-17.25=-425
2.
5(-8).2(-3)=10.24=240
3(-5)2+2(-5)-20=15.5+(-2)5-4.5=(15-2-4).5=9.5=45
34.(15-10)-15(34-10)=34.15-34.10-15.34+15.10=0+(-34+15).10=-19.10=-190
a ) 5 ^30 : ( 5^25 . 6 + 5^25 . 9 )
= 5^30 : [ 5^25 ( 6 + 9 ) ]
= 5^30 : [ 5^25 . 15 ]
= 5^30 : [ 5^25 . 5 . 3 ]
= 5^30 : [ 5^26 . 3 ]
= 5^30 : 5^26 : 3
= 5^4 : 3
b ) ( 20 . 2^4 + 12 . 2^4 - 48 . 2^2 ) : 8^2
= ( 20 . 2^4 + 12.2^4 - 12 . 2^2 . 2^2 ) : 8^2
= ( 20 . 2^4 + 12.2^4 - 12.2^4 ) : 8^2
= 20 . 2^4 : 8^2
= 5 . 2^2 . 2^4 : ( 2^3 )^2
= 5 . 2^6 : 2^6
= 5
= 625 : 3
= 625/3
#)Giải :
1,25 : 15/20 + 25% - 5/6
= 5/4 : 3/4 + 1/4 - 5/6
= 5/3 + 1/4 - 5/6
= 23/12 - 5/6
= 13/12
#~Will~be~Pens~#
1,25 : \(\frac{15}{20}\)+ 25% - \(\frac{5}{6}\)
= \(\frac{5}{4}\): \(\frac{3}{4}\)+\(\frac{1}{4}\)- \(\frac{5}{6}\)
= \(\frac{5}{4}\)x\(\frac{4}{3}\)+\(\frac{1}{4}\)-\(\frac{5}{6}\)
= \(\frac{5}{3}\)+\(\frac{1}{4}\)-\(\frac{5}{6}\)
= \(\frac{20+3}{12}\)-\(\frac{5}{6}\)
= \(\frac{23}{12}\)-\(\frac{5}{6}\)
= \(\frac{23-10}{12}\)
= \(\frac{13}{12}\)