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![](https://rs.olm.vn/images/avt/0.png?1311)
\(a,3\frac{3}{4}+15\frac{1}{2}=\frac{15}{4}+\frac{31}{2}=\frac{15}{4}+\frac{62}{4}=\frac{77}{4}\)
\(b,80\frac{1}{4}-72=8\frac{1}{4}=\frac{33}{4}\)
\(c,2\frac{1}{6}.7\frac{6}{5}=\frac{13}{6}.\frac{41}{5}=\frac{533}{30}\)
\(d,30\frac{1}{2}:\frac{1}{25}=\frac{61}{2}:\frac{1}{25}=\frac{61.25}{2}=\frac{1525}{2}\)
a,\(3\frac{3}{4}+15\frac{1}{2}=3,75+15,05=18,8\)
b,\(80\frac{1}{4}-72=80,25-72=8,25\)
c,\(2\frac{1}{6}\times7\frac{6}{5}=\frac{13}{6}\times\frac{41}{5}=\frac{533}{30}\)
d,\(30\frac{1}{2}:\frac{1}{25}=\frac{61}{2}\times25=\frac{1525}{2}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) \(\frac{13}{7}-\frac{1}{2}\times\frac{13}{7}+\frac{3}{2}\times\frac{13}{7}\)
\(=\frac{13}{7}\times\left(1-\frac{1}{2}+\frac{3}{2}\right)\)
\(=\frac{13}{7}\times2\)
\(=\frac{26}{7}\)
b) \(\frac{1}{15}\times\left(\frac{3}{7}+\frac{5}{19}\right)+\frac{3}{7}\times\left(\frac{5}{19}-\frac{1}{15}\right)\)
\(=\frac{1}{15}\times\frac{3}{7}+\frac{1}{15}\times\frac{5}{19}+\frac{3}{7}\times\frac{5}{19}-\frac{3}{7}\times\frac{1}{15}\)
\(=\frac{5}{19}\times\left(\frac{1}{15}+\frac{3}{7}\right)\)
\(=\frac{5}{19}\times\frac{52}{105}\)
\(=\frac{52}{399}\)
c) \(\frac{5}{6}+\frac{5}{12}+\frac{5}{20}+\frac{5}{30}+...+\frac{5}{9900}\)
\(=5\times\left(\frac{1}{2\times3}+\frac{1}{3\times4}+\frac{1}{4\times5}+\frac{1}{5\times6}+...+\frac{1}{99\times100}\right)\)
\(=5\times\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+...+\frac{1}{99}-\frac{1}{100}\right)\)
\(=5\times\left(\frac{1}{2}-\frac{1}{100}\right)\)
\(=5\times\frac{49}{100}\)
\(=\frac{49}{20}\)
Lần sau nên đăng ít thôi
![](https://rs.olm.vn/images/avt/0.png?1311)
a, \(1\frac{2}{7}+6\frac{5}{6}=\frac{9}{7}+\frac{41}{6}=\frac{54}{42}+\frac{287}{42}=\frac{341}{42}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(9\frac{1}{4}+6\frac{2}{7}+7\frac{3}{5}+8\frac{2}{3}+\frac{2}{5}+\frac{1}{3}+\frac{5}{7}+\frac{3}{4}\)
\(=\left(9\frac{1}{4}+\frac{3}{4}\right)+\left(6\frac{2}{7}+\frac{5}{7}\right)+\left(7\frac{3}{5}+\frac{2}{5}\right)+\left(8\frac{2}{3}+\frac{1}{3}\right)\)
\(=\left(\frac{37}{4}+\frac{3}{4}\right)+\left(\frac{44}{7}+\frac{5}{7}\right)+\left(\frac{38}{5}+\frac{2}{5}\right)+\left(\frac{26}{3}+\frac{1}{3}\right)\)
\(=\frac{40}{4}+\frac{49}{7}+\frac{40}{5}+\frac{40}{5}+\frac{27}{3}\)
\(=10+7+8+8+9\)
\(=42\)
**** nha Bùi Xuân Lê
có cờ him