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\(=\left(1+\frac{1}{2}\right)+\left(1+\frac{1}{4}\right)+\left(1+\frac{1}{8}\right)+\left(1+\frac{1}{16}\right)+...+1+\frac{1}{1024}\)
\(=\left(1+1+1+...+1\right)+\left(1+\frac{1}{2}+\frac{1}{4}+....+\frac{1}{1024}\right)\)
\(=9+\frac{1}{512}=\frac{4609}{512}\)
=11/9+7/6*5/3
=11/9+7/6
=139/54
tự rút gọn nếu muốn nhé
k mình
Ta có: \(1\frac{4}{5}+2\frac{5}{7}+3\frac{4}{5}+4\frac{5}{7}\)
\(=\left(1\frac{4}{5}+3\frac{4}{5}\right)+\left(2\frac{5}{7}+4\frac{5}{7}\right)\)
\(=\left(\frac{9}{5}+\frac{19}{5}\right)+\left(\frac{19}{7}+\frac{33}{7}\right)\)
\(=\frac{28}{5}+\frac{52}{7}=13\frac{1}{35}\)
= ( \(1\frac{4}{5}\)+ \(3\frac{4}{5}\)) + ( \(2\frac{5}{7}\)+ \(4\frac{5}{7}\))
= \(4\frac{4}{5}\) + \(6\frac{5}{7}\)
= \(\frac{24}{5}\) + \(\frac{47}{7}\)
= ...... ( tính nốt nhé )
\(\frac{3}{2}+\frac{3}{8}+\frac{3}{32}+\frac{3}{128}+\frac{3}{512}\)
=\(\frac{3}{1.2}+\frac{3}{2.4}+\frac{3}{4.8}+\frac{3}{8.16}+\frac{3}{16.32}\)
=\(\frac{3}{1}-\frac{3}{2}+\frac{3}{2}-\frac{3}{4}+\frac{3}{4}-\frac{3}{8}+\frac{3}{8}-\frac{3}{16}+\frac{3}{16}-\frac{3}{36}\)
=\(\frac{3}{1}-\frac{3}{36}\)=\(\frac{35}{12}\)
\(\frac{2}{3}\) + \(\frac{5}{4}\)
= \(\frac{2.4}{3.4}\) + \(\frac{5.3}{4.3}\)
= \(\frac{8}{12}\) + \(\frac{15}{12}\)
= \(\frac{23}{12}\)
Đáp số : \(\frac{23}{12}\)
a) \(4\frac{3}{5}-\left(\frac{5}{2}-2\right)+\frac{5}{4}\)
\(=\frac{23}{5}-\frac{5}{2}+2+\frac{5}{4}\)
\(=\frac{107}{20}\)
b) \(47,31-18,27-8,27+4,6\)
\(=25,37\)
\(\frac{4}{5}+\frac{2}{3}:9\)
\(=\frac{4}{5}+\frac{2}{27}\)
\(=\frac{118}{135}\)
\(\frac{4}{5}+\frac{2}{3}\div9=\frac{4}{5}+\frac{2}{27}=\frac{118}{135}\)