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170*144/12*85*8*4=24480/32640
=8160/10880=816/1088=408/544=204/272=102/136=51/68=3/4
Kết Quả là 3/4
a, \(\frac{3.4.7}{12.8.9}\)= \(\frac{3.4.7}{3.4.8.9}\)= \(\frac{7}{72}\)
b, \(\frac{4.5.6}{12.10.8}\)= \(\frac{4.5.6}{3.4.2.5.8}\)= \(\frac{1}{8}\)
c, \(\frac{5.6.7}{12.14.15}\)= \(\frac{5.6.7}{2.6.2.7.3.5}\)= \(\frac{1}{12}\)
a.\(\frac{3\cdot4\cdot7}{12\cdot8\cdot9}\)= \(\frac{3\cdot4\cdot7}{3\cdot4\cdot8\cdot9}\)= \(\frac{7}{72}\)
b. \(\frac{4\cdot5\cdot6}{12\cdot10\cdot8}\)= \(\frac{4\cdot5\cdot2\cdot3}{3\cdot4\cdot5\cdot2\cdot8}\)= \(\frac{1}{8}\)
c.\(\frac{5\cdot6\cdot7}{12\cdot14\cdot15}\)= \(\frac{5\cdot6\cdot7}{2\cdot6\cdot2\cdot7\cdot3\cdot5}\)= \(\frac{1}{12}\)
tach may số đó ra rui gạch lấy kết quả cuối cùng là một phân số tối giản !
\(A=\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+\frac{1}{4\cdot5}+\frac{1}{5\cdot6}+\frac{1}{6\cdot7}+\frac{1}{7\cdot8}\)
\(A=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}\)
\(A=\frac{1}{2}-\frac{1}{8}=\frac{3}{8}\)
\(A=\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}+\frac{1}{6.7}+\frac{1}{7.8}\\ \)
\(=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{7}-\frac{1}{8}\)
\(=\frac{1}{2}-\frac{1}{8}\)
\(=\frac{4}{8}-\frac{1}{8}\\ =\frac{3}{8}\)
Chúc bn học thiệt giỏi nhé!
\(\frac{\text{30.25.7.8}}{\text{75.8.12.14}}=\frac{\left(30:6\right).\left(25:25\right).\left(7:7\right).\left(8:8\right)}{\left(75:25\right).\left(8:8\right).\left(12:6\right).\left(14:7\right)}=\frac{5..1.1.1}{3.1.2.2}=\frac{5}{12}\)
\(\frac{170\times144}{12\times85\times8\times4}\)
\(=\frac{85\times2\times12\times3\times4}{12\times85\times2\times4\times4}\)
\(=\frac{3}{4}\)
Đáp số : \(\frac{3}{4}\)
\(\frac{170\cdot144}{12\cdot85\cdot8\cdot4}\)
=\(\frac{85\cdot2\cdot12\cdot4\cdot3}{12\cdot85\cdot2\cdot4\cdot4}\)
=\(\frac{3}{4}\).