\(\frac{1}{2}:\frac{3}{2}:\frac{5}{4}:\frac{6}{5}:\frac{7}{6}:\frac{8}{7}\)

\(=\frac{1}{2}\cdot\frac{2}{3}\cdot\frac{4}{5}\cdot\frac{5}{6}\cdot\frac{6}{7}\cdot\frac{7}{8}\)

\(=\frac{1\cdot\left(2\cdot5\cdot6\cdot7\right)}{8\cdot3\cdot\left(2\cdot5\cdot6\cdot7\right)}\)

\(=\frac{1}{24}\)

\(\frac{1}{2}\cdot\frac{2}{3}\cdot\frac{3}{4}\cdot\frac{4}{5}\cdot\frac{5}{6}\cdot\frac{6}{7}\cdot\frac{7}{8}\cdot\frac{8}{9}\cdot\frac{9}{10}\)

\(=\frac{1\cdot\left(2\cdot3\cdot4\cdot5\cdot6\cdot7\cdot8\cdot9\right)}{\left(2\cdot3\cdot4\cdot5\cdot6\cdot7\cdot8\cdot9\right)\cdot10}\)

\(=\frac{1}{10}\)

\(\frac{1}{2}+\frac{1}{2}=\frac{1+1}{2}=\frac{2}{2}=1\)

\(\frac{3}{4}+\frac{1}{4}=\frac{3+1}{4}=\frac{4}{4}=1\)

\(\frac{3}{9}+\frac{6}{9}=\frac{3+6}{9}=\frac{9}{9}=1\)

a, 1/2+1/2=1

b, 3/4+1/4=1

c, 3/9+6/9=1

k nha bn, ok

1) \(\frac{4}{5}.\frac{8}{3}.\frac{x}{7}=\frac{96}{105}\)

\(\frac{32.x}{105}=\frac{96}{105}\)

\(32x=96\)

\(x=3\)

Bài 1: Tìm \(x\)

\(\frac45\times\frac83\times\) \(\frac{x}{7}\) = \(\frac{96}{105}\)

\(\frac{32}{15}\) x \(\frac{x}{7}\) = \(\frac{32}{35}\)

\(\frac{x}{7}\) = \(\frac{32}{35}\) : \(\frac{32}{15}\)

\(\frac{x}{7}\) = \(\frac{32}{35}\) x \(\frac{15}{32}\)

\(\frac{x}{7}\) = \(\frac37\)

\(x=\frac37\times7\)

\(x=3\)

b; \(\frac74\times\frac{3}{x}\times\) \(\frac{11}{5}\) = \(\frac{231}{200}\)

\(\frac74\) x \(\frac{3}{x}\) = \(\frac{231}{200}\) : \(\frac{11}{5}\)

\(\frac74\times\frac{3}{x}\) = \(\frac{231}{200}\) x \(\frac{5}{11}\)

\(\frac74\) x \(\frac{3}{x}\) = \(\frac{21}{40}\)

\(\frac{3}{x}\) = \(\frac{21}{40}\) : \(\frac74\)

\(\frac{3}{x}\) = \(\frac{21}{40}\) x \(\frac47\)

\(\frac{3}{x}\) = \(\frac{3}{10}\)

\(x=3:\frac{3}{10}\)

\(x=3\times\frac{3}{10}\)

\(x=10\)

\(x+\frac{2}{3}=\frac{9}{11}\)

\(x=\frac{9}{11}-\frac{2}{3}\)

\(x=\frac{5}{33}\)

\(x-\frac{3}{10}=\frac{4}{15}\)

\(x=\frac{3}{10}-\frac{4}{15}\)

\(x=\frac{1}{10}\)

\(x\times\frac{1}{7}=\frac{5}{6}\)

\(x=\frac{5}{6}:\frac{1}{7}\)

\(x=\frac{35}{6}\)

\(x:\frac{3}{5}=\frac{1}{6}\)

\(x=\frac{3}{5}.\frac{1}{6}\)

\(x=\frac{1}{10}\)

+, \(x+\frac{2}{3}=\frac{9}{11}\)

\(x=\frac{9}{11}-\frac{2}{3}=\frac{5}{33}\)

+, \(x-\frac{3}{10}=\frac{4}{15}\)

\(x=\frac{4}{15}+\frac{3}{10}=\frac{17}{30}\)

+, \(x\cdot\frac{1}{7}=\frac{5}{6}\)

\(x=\frac{5}{6}:\frac{1}{7}=\frac{5}{6}.\frac{7}{1}=\frac{35}{6}\)

+,\(x:\frac{3}{5}=\frac{1}{6}\)

\(x=\frac{1}{6}\cdot\frac{3}{5}=\frac{3}{30}=\frac{1}{10}\)

(\(\frac{1}{2}\):\(\frac{1}{3}\):\(\frac{1}{6}\)) +\(\frac{1}{5}\)

= 9 +  \(\frac{1}{5}\)

=\(\frac{46}{5}\)

K minh nhe ban

\(\frac{1}{2}:\frac{1}{5}+\frac{1}{3}:\frac{1}{5}+\frac{1}{6}:\frac{1}{5}\)

\(=\left(\frac{1}{2}+\frac{1}{3}+\frac{1}{6}\right):\frac{1}{5}\)

\(=\left(\frac{3}{6}+\frac{2}{6}+\frac{1}{6}\right):\frac{1}{5}\)

\(=1:\frac{1}{5}\)

\(=1\times5\)

\(=5\)

a) Mẫu số chung: 6

\(\frac{1}{2}=\frac{1.3}{2.3}=\frac{3}{6}\) (Dấu . là dấu x nha)

\(\frac{2}{3}=\frac{2.2}{3.2}=\frac{4}{6}\)

Và \(\frac{1}{6}\)

b) Mẫu số chung: 28

\(\frac{4}{7}=\frac{4.4}{7.4}=\frac{16}{28}\)

\(\frac{3}{4}=\frac{3.7}{4.7}=\frac{21}{28}\)

c) Mẫu số chung: 24

\(\frac{5}{4}=\frac{5.6}{4.6}=\frac{30}{24}\)

\(\frac{5}{6}=\frac{5.4}{6.4}=\frac{20}{24}\)

\(\frac{2}{3}+\frac{3}{4}:\frac{6}{7}+\frac{1}{8}x1\frac{1}{3}\)

= \(\frac{2}{3}+\frac{21}{24}+\frac{1}{8}x1\frac{1}{3}\)

= \(\frac{2}{3}+\frac{21}{24}+\frac{1}{8}x\frac{4}{3}\)

= \(\frac{2}{3}+\frac{21}{24}+\frac{1}{6}\)

=\(\frac{37}{24}+\frac{1}{6}\)

= \(\frac{41}{24}\)

nhé !

41/24 là đúng vì mình thì ở  violympic

 rồi

1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6

=1/2-1/6

=2/6=1/3

\(\frac{1}{2}-\frac{1}{6}=\frac{2}{6}=\frac{1}{3}\)

a)    \(\frac{5}{11}+\frac{6}{25}+\frac{66}{121}\)

\(=\left(\frac{5}{11}+\frac{66}{121}\right)+\frac{6}{25}\)

\(=1+\frac{6}{25}\)

\(=\frac{31}{25}\)