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= ( 2380 + 9 x 480) : 25 - 3500 : 25
= ( 2380 + 4320 - 3500 ) : 25
= 3200 : 25
= 128
Cách 1:
\(\frac{5}{25}\times\frac{5}{12}\times24=\frac{5}{25}\times\left(\frac{5}{12}\times24\right)=\frac{1}{5}\times10=2\)
Cách 2:
\(\frac{5}{25}\times\frac{5}{12}\times24=\left(\frac{5}{25}\times\frac{5}{12}\right)\times24=\left(\frac{1}{5}\times\frac{5}{12}\right)\times24=\frac{1}{12}\times24=2\)
HOK TOT
a: \(=\dfrac{48-45}{54}\cdot\dfrac{9}{4}=\dfrac{3}{54}\cdot\dfrac{9}{4}=\dfrac{27}{216}=\dfrac{1}{8}\)
b: \(=\dfrac{6}{5}+1=\dfrac{11}{5}\)
c: \(=\dfrac{7\cdot28\cdot15}{9\cdot25\cdot14}=\dfrac{1}{2}\cdot\dfrac{28}{25}\cdot\dfrac{5}{3}=\dfrac{140}{150}=\dfrac{14}{15}\)
\(\frac{5}{11}.\frac{7}{25}+\frac{15}{11}.\frac{1}{5}\)
\(=\frac{5}{11}.\frac{7}{25}+\frac{5}{11}.3.\frac{1}{5}\)
\(=\frac{5}{11}.\frac{7}{25}+\frac{5}{11}.\frac{3}{5}\)
\(=\frac{5}{11}\left(\frac{7}{25}+\frac{3}{5}\right)\)
\(=\frac{5}{11}\left(\frac{7}{25}+\frac{15}{25}\right)\)
\(=\frac{5}{11}.\frac{22}{25}=\frac{2}{5}\)
#)Giải :
\(\left(1-\frac{2}{5}\right)\left(1-\frac{2}{7}\right)\left(1-\frac{2}{9}\right)...\left(1-\frac{2}{97}\right)\left(1-\frac{2}{99}\right)\)
\(=\frac{3}{5}\times\frac{5}{7}\times\frac{7}{9}\times...\times\frac{95}{97}\times\frac{97}{99}\)
\(=\frac{3}{99}=\frac{1}{33}\)( loại các cặp số giống nhau ở tử và mẫu của các phân số )
\(\left[1-\frac{2}{5}\right]\times\left[1-\frac{2}{7}\right]\times\left[1-\frac{2}{9}\right]\times\left[1-\frac{2}{11}\right]\times...\times\left[1-\frac{2}{97}\right]\times\left[1-\frac{2}{99}\right]\)
\(=\frac{3}{5}\times\frac{5}{7}\times\frac{7}{9}\times\frac{9}{11}\times...\times\frac{95}{97}\times\frac{97}{99}\)
\(=\frac{3\times5\times7\times9\times...\times97}{5\times7\times9\times11\times...\times97\times99}=\frac{3}{99}=\frac{1}{33}\)
\(=\dfrac{3}{7}\cdot\left(\dfrac{4}{9}+\dfrac{5}{9}+1\right)=\dfrac{3}{7}\cdot2=\dfrac{6}{7}\)
\(=\dfrac{3}{7}\times\dfrac{4}{9}\times\dfrac{5}{9}\times\dfrac{3}{7}+\dfrac{3}{7}=\dfrac{3}{7}\times\left(\dfrac{4}{9}+\dfrac{5}{9}+1\right)=\dfrac{3}{7}\times2=\dfrac{6}{7}\)
a) \(\dfrac{7}{9}\times\dfrac{13}{25}\times\dfrac{9}{7}=\left(\dfrac{7}{9}\times\dfrac{9}{7}\right)\times\dfrac{13}{25}=1\times\dfrac{13}{25}=\dfrac{13}{25}\)
b) \(\dfrac{5}{9}\times\dfrac{21}{25}+\dfrac{21}{25}\times\dfrac{4}{9}\)
\(=\dfrac{21}{25}\times\left(\dfrac{5}{9}+\dfrac{4}{9}\right)\)
\(=\dfrac{21}{25}\times1=\dfrac{21}{25}\)
c) \(\dfrac{19}{5}\times\dfrac{11}{16}-\dfrac{9}{5}\times\dfrac{11}{16}\)
\(=\dfrac{11}{16}\times\left(\dfrac{19}{5}-\dfrac{9}{5}\right)\)
\(=\dfrac{11}{16}\times2=\dfrac{22}{16}=\dfrac{11}{8}\)
Cách 1:
(25x9):5
=225:5
=45
Cách 2:
(25x9):5
=(25:5)x9
=5x9
=45