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a) \(\frac{5}{6}< \frac{6}{7}\)
b) \(\frac{5}{8}=\frac{50}{80}\)
c) \(\frac{3}{4}>\frac{5}{7}\)
d) \(\frac{9}{7}< \frac{8}{5}\)
\(\frac{9}{5}\): \(\frac{7}{6}\)+ \(\frac{3}{2}\): \(\frac{7}{6}\)- \(\frac{8}{5}\)x \(\frac{6}{7}\)

\(\frac{9}{5}\div\frac{7}{6}+\frac{3}{2}\div\frac{7}{6}-\frac{8}{5}\times\frac{6}{7}\)
\(=\frac{9}{5}\times\frac{6}{7}+\frac{3}{2}\times\frac{6}{7}-\frac{8}{5}\times\frac{6}{7}\)
\(=\frac{6}{7}\times\left(\frac{9}{5}+\frac{3}{2}-\frac{8}{5}\right)\)
\(=\frac{6}{7}\times\frac{17}{10}\)
\(=\frac{102}{70}\)
\(=\frac{51}{35}\)
\(\frac{9}{5}:\frac{7}{6}+\frac{3}{2}:\frac{7}{6}-\frac{8}{5}x\frac{6}{7}\)
\(=\frac{9}{5}x\frac{6}{7}+\frac{3}{2}x\frac{6}{7}-\frac{8}{5}x\frac{6}{7}\)
\(=\frac{7}{6}x\left(\frac{9}{5}+\frac{3}{2}-\frac{8}{5}\right)\)
\(=\frac{7}{6}x\frac{17}{10}\)
\(=\frac{119}{60}\)
\(x\)là dấu nhân

Câu 1\(\frac{9}{8}.\frac{9}{3}=\frac{81}{24}\)
Câu 2 \(\frac{19}{5}+\frac{9}{5}=\frac{28}{5}\)
Câu 3 \(\frac{31}{7}:\frac{22}{5}=\frac{31.5}{7.22}=\frac{155}{154}\)
Câu 4 \(\frac{12}{1}-\frac{31}{5}=\frac{60}{5}-\frac{31}{5}=\frac{29}{5}\)

\(\frac{6}{8}+\frac{4}{8}=\frac{6+4}{8}=\frac{10}{8}=\frac{5}{4}\)
\(\frac{5}{7}-\frac{1}{7}=\frac{5-1}{7}=\frac{4}{7}\)
\(\frac{9}{6}+\frac{4}{8}=\frac{9\times3}{6\times3}+\frac{4\times2}{8\times2}=\frac{27}{19}+\frac{8}{19}=\frac{35}{19}\)
\(\frac{5}{7}-\frac{4}{6}=\frac{5\times6}{7\times6}-\frac{4\times7}{6\times7}=\frac{30}{42}-\frac{28}{42}=\frac{2}{42}=\frac{1}{21}\)
\(\frac{6}{8}+\frac{4}{8}=\frac{6+4}{8}=\frac{10}{8}=\frac{5}{4}\)

\(\frac{23}{12}\)
\(\frac{314}{105}\)
\(\frac{59}{60}\)
\(\frac{199}{90}\)
\(\frac{1}{18}\)
\(\frac{13}{36}\)
\(\frac{4}{221}\)
\(\frac{4}{85}\)

1/4 + 2/5 + 6/8 + 9/15 + 6/7 = ( 1/4 + 6/8 ) + ( 2/5 + 9/15 ) + 6/7
= 1 + 1 + 6/7
= 2 + 6/7
= 20/7
\(\frac{1}{4}+\frac{2}{5}+\frac{6}{8}+\frac{9}{15}+\frac{6}{7}\)
= \(\left(\frac{1}{4}+\frac{6}{8}\right)+\left(\frac{2}{5}+\frac{9}{15}\right)+\frac{6}{7}\)
= \(1+1+\frac{6}{7}\)
= 2 + \(\frac{6}{7}\)
= \(\frac{14}{7}+\frac{6}{7}=\frac{20}{7}\)
\(6\frac{8}{5}+5\frac{9}{6}\)
\(=\frac{38}{5}+\frac{39}{6}\)
\(=\frac{228}{30}+\frac{195}{30}\)
\(=\frac{423}{30}\)