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\(\frac{1}{2}:\frac{3}{2}:\frac{5}{4}:\frac{6}{5}:\frac{7}{6}:\frac{8}{7}\)
\(=\frac{1}{2}\cdot\frac{2}{3}\cdot\frac{4}{5}\cdot\frac{5}{6}\cdot\frac{6}{7}\cdot\frac{7}{8}\)
\(=\frac{1\cdot\left(2\cdot5\cdot6\cdot7\right)}{8\cdot3\cdot\left(2\cdot5\cdot6\cdot7\right)}\)
\(=\frac{1}{24}\)
\(\frac{1}{2}\cdot\frac{2}{3}\cdot\frac{3}{4}\cdot\frac{4}{5}\cdot\frac{5}{6}\cdot\frac{6}{7}\cdot\frac{7}{8}\cdot\frac{8}{9}\cdot\frac{9}{10}\)
\(=\frac{1\cdot\left(2\cdot3\cdot4\cdot5\cdot6\cdot7\cdot8\cdot9\right)}{\left(2\cdot3\cdot4\cdot5\cdot6\cdot7\cdot8\cdot9\right)\cdot10}\)
\(=\frac{1}{10}\)

1. \(\frac{7}{8}\) và \(\frac{8}{7}\)
- \(7 \times 7 = 49\)
- \(8 \times 8 = 64\)
⇒ \(\frac{7}{8} < \frac{8}{7}\).
2. \(\frac{5}{6}\) và \(\frac{6}{5}\)
- \(5 \times 5 = 25\)
- \(6 \times 6 = 36\)
⇒ \(\frac{5}{6} < \frac{6}{5}\).
3. \(\frac{5}{9}\) và \(\frac{6}{9}\)
- Mẫu giống nhau, so tử: \(5 < 6\).
⇒ \(\frac{5}{9} < \frac{6}{9}\).
(Chú ý: bạn ghi “\(\frac{9}{5}\)” và “\(\frac{9}{6}\)” thì khác nhé, nhưng theo mình đọc thì là \(\frac{5}{9}\) và \(\frac{6}{9}\)). Bạn xác nhận lại?
4. \(\frac{7}{2}\) và \(\frac{5}{2}\)
- Mẫu giống nhau, so tử: \(7 > 5\).
⇒ \(\frac{7}{2} > \frac{5}{2}\).
5. \(\frac{8}{5}\) và \(\frac{8}{9}\)
- Cùng tử 8, so mẫu: \(5 < 9\) ⇒ phân số có mẫu nhỏ hơn thì lớn hơn.
⇒ \(\frac{8}{5} > \frac{8}{9}\).
6. \(\frac{12}{34}\) và \(\frac{12}{45}\)
- Cùng tử 12, so mẫu: \(34 < 45\) ⇒ phân số có mẫu nhỏ hơn thì lớn hơn.
⇒ \(\frac{12}{34} > \frac{12}{45}\).
✅ Kết quả:
\(\frac{7}{8} < \frac{8}{7} , \frac{5}{6} < \frac{6}{5} , \frac{5}{9} < \frac{6}{9} , \frac{7}{2} > \frac{5}{2} , \frac{8}{5} > \frac{8}{9} , \frac{12}{34} > \frac{12}{45} .\)

\(3+\frac{2}{5}-\frac{3}{4}\times\frac{4}{5}\)
\(=3+\frac{2}{5}-\frac{3}{4}\)
\(=\frac{3\times20+2\times4-3\times5}{20}\)
\(=\frac{60+8-15}{20}\)
\(=\frac{68-15}{20}\)
\(=\frac{53}{20}\)
\(5-\frac{7}{9}+\frac{2}{3}-\frac{5}{6}:\frac{4}{9}\)
\(=5-\frac{7}{9}+\frac{2}{3}-\frac{45}{24}\)
\(=\frac{5\times72-7\times8+2\times24-45\times3}{72}\)
\(=\frac{360-56+48-135}{72}\)
\(=\frac{217}{72}\)

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 \(\frac47\)
\(\frac{3}{x}\) = \(\frac{3}{10}\)
\(x=3:\frac{3}{10}\)
\(x=3\times\frac{3}{10}\)
\(x=10\)

\(\frac{3}{4}+\frac{2}{3}=\frac{9}{12}+\frac{8}{12}=\frac{17}{12}\)
\(\frac{9}{2}-4=\frac{9}{2}-\frac{8}{2}=\frac{1}{2}\)
\(\frac{4}{5}\times\frac{3}{2}=\frac{4\times3}{5\times2}=\frac{12}{10}=\frac{6}{5}\)
\(\frac{5}{6}:\frac{6}{5}=\frac{5}{6}\times\frac{5}{6}=\frac{25}{36}\)

12/14 + 15/20 + 6/7 + 3/4
= ( 12/14 + 6/7 ) + ( 15/20 + 3/4 )
= ( 6/7 + 6/7 ) + ( 3/4 + 3/4 )
= 12/7 + 6/4
= 48/28 + 42/28
= 90/28
= 45/14
Tham khảo nha !!!

\(x+\frac{2}{3}=\frac{9}{11}\)
\(x=\frac{9}{11}-\frac{2}{3}\)
\(x=\frac{5}{33}\)
\(x-\frac{3}{10}=\frac{4}{15}\)
\(x=\frac{3}{10}-\frac{4}{15}\)
\(x=\frac{1}{10}\)
\(x\times\frac{1}{7}=\frac{5}{6}\)
\(x=\frac{5}{6}:\frac{1}{7}\)
\(x=\frac{35}{6}\)
\(x:\frac{3}{5}=\frac{1}{6}\)
\(x=\frac{3}{5}.\frac{1}{6}\)
\(x=\frac{1}{10}\)
+, \(x+\frac{2}{3}=\frac{9}{11}\)
\(x=\frac{9}{11}-\frac{2}{3}=\frac{5}{33}\)
+, \(x-\frac{3}{10}=\frac{4}{15}\)
\(x=\frac{4}{15}+\frac{3}{10}=\frac{17}{30}\)
+, \(x\cdot\frac{1}{7}=\frac{5}{6}\)
\(x=\frac{5}{6}:\frac{1}{7}=\frac{5}{6}.\frac{7}{1}=\frac{35}{6}\)
+,\(x:\frac{3}{5}=\frac{1}{6}\)
\(x=\frac{1}{6}\cdot\frac{3}{5}=\frac{3}{30}=\frac{1}{10}\)

\(a,\frac{4}{5}\times\frac{a}{b}=\frac{7}{10}\)
\(\frac{a}{b}=\frac{7}{10}:\frac{4}{5}\)
\(\frac{a}{b}=\frac{7}{10}\times\frac{5}{4}\)
\(\frac{a}{b}=\frac{7}{8}\)
\(b,\frac{1}{3}:\frac{a}{b}=\frac{2}{3}:\frac{4}{3}\)
\(\frac{1}{3}:\frac{a}{b}=\frac{2}{3}\times\frac{3}{4}\)
\(\frac{1}{3}:\frac{a}{b}=\frac{1}{2}\)
\(\frac{a}{b}=\frac{1}{3}:\frac{1}{2}\)
\(\frac{a}{b}=\frac{1}{3}\times2\)
\(\frac{a}{b}=2\)
\(c,\frac{a}{b}+\frac{3}{8}=\frac{5}{6}\)
\(\frac{a}{b}=\frac{5}{6}-\frac{3}{8}\)
\(\frac{a}{b}=\frac{11}{24}\)

\(1,\frac{3}{5}+\frac{7}{2}-\frac{4}{7}=\frac{42}{70}+\frac{245}{70}-\frac{40}{70}=\frac{247}{70}\)
\(2,\frac{4}{5}-\frac{1}{3}+\frac{3}{4}=\frac{48}{60}-\frac{20}{60}+\frac{45}{60}=\frac{73}{60}\)
\(3,\frac{1}{3}\times\frac{5}{7}:\frac{7}{2}=\frac{5}{21}:\frac{7}{2}=\frac{10}{147}\)
\(4,\frac{1}{2}:\frac{2}{7}\times\frac{4}{7}=\frac{7}{4}\times\frac{4}{7}=1\)
\(5,\frac{19}{15}\times\frac{3}{7}:\frac{4}{9}=\frac{19}{35}:\frac{4}{9}=\frac{171}{140}\)
\(6,\frac{11}{3}:\frac{9}{16}:\frac{3}{8}=\frac{176}{27}:\frac{3}{8}=\frac{1408}{81}\)
_Chúc bạn học tốt _
39=19683
26=64
52=25
75=16807
What???