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\(\frac{5}{6}\)+ \(\frac{7}{8}\)= \(\frac{20}{24}\)+\(\frac{21}{24}\)=\(\frac{41}{24}\)
\(\frac{9}{10}\)x\(\frac{5}{6}\)=\(\frac{3x3}{2x5}\)x\(\frac{5}{3x2}\)=\(\frac{3}{4}\)
\(\frac{5}{8}\)-\(\frac{2}{5}\)=\(\frac{25}{40}\)-\(\frac{16}{40}\)=\(\frac{9}{40}\)
\(\frac{6}{5}\)/\(\frac{3}{7}\)=\(\frac{6}{5}\)x\(\frac{7}{3}\)=\(\frac{42}{15}\)
\(\frac{6\div\frac{3}{5}-1\frac{1}{6}\times\frac{6}{7}}{4\frac{1}{5}\times\frac{10}{11}+5\frac{2}{11}}=\frac{6\div\frac{3}{5}-\frac{1\times6+1}{6}\times\frac{6}{7}}{\frac{4\times5+1}{5}\times\frac{10}{11}+\frac{5\times11+2}{11}}\)
\(=\frac{6\div\frac{3}{5}-\frac{7}{6}\times\frac{6}{7}}{\frac{21}{5}\times\frac{10}{11}+\frac{57}{11}}=\frac{\left(6\div\frac{3}{5}\right)-\left(\frac{7}{6}\times\frac{6}{7}\right)}{\left(\frac{21}{5}\times\frac{10}{11}\right)+\frac{57}{11}}\)
\(=\frac{10-1}{\frac{42}{11}+\frac{57}{11}}=\frac{9}{\frac{99}{11}}=\frac{9}{9}=1\)
Bài làm
\(\frac{\left(3+\frac{1}{6}\right)-\frac{2}{5}}{\left(5-\frac{1}{6}\right)+\frac{7}{10}}\)
\(=\frac{\left(\frac{18}{6}+\frac{1}{6}\right)-\frac{2}{5}}{\left(\frac{30}{6}-\frac{1}{6}\right)+\frac{7}{10}}\)
\(=\frac{\frac{19}{6}-\frac{2}{5}}{\frac{29}{6}+\frac{7}{10}}\)
\(=\frac{\frac{95}{30}-\frac{12}{30}}{\frac{145}{30}+\frac{21}{30}}\)
\(=\frac{\frac{83}{30}}{\frac{166}{30}}\)
\(=\frac{83}{30}:\frac{166}{30}\)
\(=\frac{83}{30}x\frac{30}{166}\)
\(=\frac{83}{166}\)
~ Nếu rút gọn đc thì rút, sai thì thôi, thấy nó hơi sai. ~
# Học tốt #
(3+1/6)-2/5
(5-1/6)+7/10
=(18/6+1/6) -2/5
(30/6-1/6)+7/10
=19/6-2/5
29/6+7/10
=95/30-12/30
145/30+21/30
=83/30
166/30
=83/30:166/30
=83/30x30/166
=83/166
~ Học tốt ~
A. = 1/2-1/3+1/3-1/4+1/4-1/5...+1/101-1/102=1/2-1/102=25/51.
B. =1/5-1/10+1/10-1/15+...+1/115-1/120=1/5-1/120=23/120.
C. = 1/5-1/7+1/7-1/9+1/9-1/11+...+1/997-1/999=1/5-1/999=994/4995.
Minh kiem tra bang may tinh roi do.
\(\frac{1}{2\times3}+\frac{1}{3\times4}+\frac{1}{4\times5}+...+\frac{1}{101\times102}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{101}-\frac{1}{102}+\frac{1}{102}\)
\(=1-\frac{1}{102}\)
\(=\frac{101}{102}\)
111
ez
Là 111 nha