Rút gọn các phân số sau:
a ) 9.6 − 9.3 18 ; b ) 17.5 − 17 3 − 20 ; c ) 49 + 7.49 49
d ) 9 13.3 2 − 4.3 2 ; e ) ( − 5 ) .4 + 8. ( − 7 ) ( − 12 ) .5 + 7.4 ; f ) ( − 14 ) .11 + 14.2 11.21 − 7.22
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a) 9.6 − 9.3 18 = 9. 6 − 3 18 = 9.3 2.9 = 3 2
b) 49 + 7.49 49 = 49. 1 + 7 49 = 8
\(\frac{4\cdot7}{9\cdot32}=\frac{4\cdot7}{9\cdot8\cdot4}=\frac{7}{8\cdot9}=\frac{7}{72}\)
\(\frac{2\cdot5\cdot13}{26\cdot35}=\frac{2\cdot5\cdot13}{2\cdot13\cdot7\cdot5}=\frac{1}{7}\)
\(\frac{3\cdot21}{14\cdot15}=\frac{3\cdot3\cdot7}{2\cdot7\cdot3\cdot5}=\frac{3}{2\cdot5}=\frac{3}{10}\)
\(\frac{9\cdot6-9\cdot3}{18}=\frac{9\cdot\left(6-3\right)}{9\cdot2}=\frac{9\cdot3}{9\cdot2}=\frac{3}{2}\)
\(\frac{17\cdot5-17}{3-20}=\frac{17\cdot\left(5-1\right)}{-17}=\frac{17\cdot4}{17\cdot\left(-1\right)}=\frac{4}{-1}=-4\)
\(45dm^2=0,45m^2\)
\(300cm^2=0,03m^2\)
\(57500mm^2=0,0575m^2\)
a ) − 18 − 27 = ( − 18 ) : ( − 9 ) ( − 27 ) : ( − 9 ) = 2 3
b ) 45 − 24 = 45 : ( − 3 ) ( − 24 ) : ( − 3 ) = − 15 8
a) 3 2
b) -4
c) 8
d) 1 9
e) 19 8
f) − 18 11
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