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a ) \(5\frac{3}{4}:3+2\frac{1}{4}.\frac{1}{3}-\frac{3}{8}=\frac{23}{4}:\frac{3}{1}+\frac{9}{4}.\frac{1}{3}=\frac{23}{12}+\frac{3}{4}=\frac{8}{3}\)
b ) \(\frac{3}{5}:\frac{5}{6}:\frac{6}{7}:\frac{7}{8}+\frac{7}{8}+\frac{2}{5}+\frac{23}{35}=\frac{3.6.7.8}{5.5.6.7}+\frac{7}{8}+\frac{2}{5}+\frac{23}{35}=\frac{24}{25}+\frac{7}{8}+\frac{2}{5}+\frac{23}{35}=\frac{4049}{1400}\)
1/3xD=1/(2x4)+1/(4x6)+...+1/(98x100)
2/3xD=2/(2x4)+2/(4x6)+...+1/(98x100)
2/3xD= 1/2-1/4+1/4-1/6+...+1/98-1/100
2/3xD=1/2-1/100
2/3xD=49/100
D=147/200
\(\frac{6}{7}:\frac{1}{2}.\frac{3}{4}-\frac{5}{8}\)
\(=\frac{6}{7}.2.\frac{3}{4}-\frac{5}{8}\)
\(=\frac{6.2.3}{7.4}-\frac{5}{8}\)
\(=\frac{3.2.2.3}{7.4}-\frac{5}{8}\)
\(=\frac{3.̸4.3}{7.̸4}-\frac{5}{8}\)
\(=\frac{9}{7}-\frac{5}{8}\)
\(=\frac{72}{56}-\frac{35}{56}\)
\(=\frac{37}{56}\)
Rất vui vì giúp đc bạn <3
\(4\frac{2}{5}+5\frac{6}{9}+2\frac{3}{4}+\frac{3}{5}+\frac{1}{3}+\frac{1}{4}\)
\(=4+\frac{2}{5}+5+\frac{6}{9}+2+\frac{3}{4}+\frac{3}{5}+\frac{1}{3}+\frac{1}{4}\)
\(=4+\frac{2}{5}+5+\frac{2}{3}+2+\frac{3}{4}+\frac{3}{5}+\frac{1}{3}+\frac{1}{4}\)
\(=\left(\frac{2}{5}+\frac{3}{5}\right)+\left(\frac{2}{3}+\frac{1}{3}\right)+\left(\frac{3}{4}+\frac{1}{4}\right)+\left(4+5+2\right)\)
\(=1+1+1+11\)
\(=14\)
=22/5+51/9+11/4+3/5+1/3+1/4
=(22/5+3/5)+(11/4+1/4)+(51/9+1/3)
=5+3+6
=14
\(\frac{1}{2}+\frac{2}{4}+\frac{3}{6}+\frac{4}{8}\)
\(=\frac{1}{2}+\frac{1}{2}+\frac{1}{2}+\frac{2}{2}\)
\(=\frac{1}{2}\times4\)
\(=2\)
\(\frac{1}{2}+\frac{2}{4}+\frac{3}{6}+\frac{4}{8}\)
= \(\frac{1}{2}+\frac{1}{2}+\frac{1}{2}+\frac{1}{2}\)
= \(\frac{1}{2}.4\)
= 2