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1) \(19=\frac{38}{2}=\frac{76}{4}=\frac{95}{5}\)
2) \(1=\frac{3}{3}=\frac{9}{9}=\frac{1000}{1000}\)
~~ Học tốt ~~
a)\(\frac{7\cdot15:25\cdot102}{7\cdot4\cdot15\cdot3:25\cdot4\cdot102\cdot3}=\frac{1}{4\cdot3:4\cdot3}=\frac{1}{1}=1\)
b)\(\frac{2}{10}+\frac{3}{10}+\frac{4}{10}+\frac{5}{10}+\frac{6}{10}+\frac{7}{10}+\frac{8}{10}=\frac{2+3+4+5+6+7+8}{10}=\frac{44}{10}=\frac{22}{5}\)
x + 7/6=16/25
x = 16/25 - 7/6
x = -79/150.
x - 13/6 = 8/5+3/10
x - 13/5 = 19/10
x = 19/10 +13/5
x = 9/2
x : 9/8 = 14/6
x = 14/6 * 9/8
x = 21/8
x * 11/7 = 3/2
x = 3/2 : 11/7
x = 21/22
\(\frac{1}{2}:\frac{3}{2}:\frac{5}{4}:\frac{6}{5}:\frac{7}{6}:\frac{8}{7}\)
\(=\frac{1}{2}\cdot\frac{2}{3}\cdot\frac{4}{5}\cdot\frac{5}{6}\cdot\frac{6}{7}\cdot\frac{7}{8}\)
\(=\frac{1\cdot\left(2\cdot5\cdot6\cdot7\right)}{8\cdot3\cdot\left(2\cdot5\cdot6\cdot7\right)}\)
\(=\frac{1}{24}\)
\(\frac{1}{2}\cdot\frac{2}{3}\cdot\frac{3}{4}\cdot\frac{4}{5}\cdot\frac{5}{6}\cdot\frac{6}{7}\cdot\frac{7}{8}\cdot\frac{8}{9}\cdot\frac{9}{10}\)
\(=\frac{1\cdot\left(2\cdot3\cdot4\cdot5\cdot6\cdot7\cdot8\cdot9\right)}{\left(2\cdot3\cdot4\cdot5\cdot6\cdot7\cdot8\cdot9\right)\cdot10}\)
\(=\frac{1}{10}\)
a)\(\frac{2}{3}:\frac{4}{9}+\frac{1}{3}:\frac{4}{9}\)
=\(\frac{4}{9}:\left(\frac{2}{3}+\frac{1}{3}\right)\)
=\(\frac{4}{9}:1=\frac{4}{9}\)
b
\(2=\frac{12}{6}=\frac{14}{7}=\frac{126}{63}\)
\(\frac{7}{8}\)x \(\frac{8}{9}\)x \(\frac{9}{10}\)
= \(\frac{7}{9}\)x \(\frac{9}{10}\)
= \(\frac{7}{10}\)
1 x \(\frac{2}{3}\): \(\frac{4}{3}\) : \(\frac{5}{4}\)
= \(\frac{2}{3}\)x \(\frac{3}{4}\)x \(\frac{4}{5}\)
= \(\frac{1}{2}\) x \(\frac{4}{5}\)
= \(\frac{2}{5}\)
\(\frac{7}{8}\times\frac{8}{9}\times\frac{9}{10}\)
\(=\frac{7\times8\times9}{8\times9\times10}\)
\(=\frac{7}{10}\)
\(1\times\frac{2}{3}:\frac{4}{3}:\frac{5}{4}\)
\(=\frac{2}{3}\times\frac{3}{4}\times\frac{4}{5}\)
\(=\frac{2}{5}\)