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\(\frac{7}{3}y+\frac{3}{5}\times2,5=3\)
\(\Leftrightarrow\frac{7}{3}y+\frac{3}{2}=3\)
\(\Leftrightarrow\frac{7}{3}y=3-\frac{3}{2}\)
\(\Leftrightarrow\frac{7}{3}y=\frac{3}{2}\)
\(\Leftrightarrow y=\frac{3}{2}\div\frac{7}{3}\)
\(\Leftrightarrow y=\frac{9}{14}\)
Vậy \(y=\frac{9}{14}\)
a,Đặt \(A=\frac{1}{1\times4}+\frac{1}{4\times7}+...+\frac{1}{97\times100}\)
\(\Rightarrow3A=\frac{3}{1\times4}+\frac{3}{4\times7}+...+\frac{3}{97\times100}\)
\(\Rightarrow3A=\frac{1}{1}-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+...+\frac{1}{97}-\frac{1}{100}\)
\(\Rightarrow3A=1-\frac{1}{100}=\frac{99}{100}\)
\(\Rightarrow A=\frac{99}{300}\)
b, \(\frac{1}{2}\times\frac{2}{3}\times...\times\frac{99}{100}=\frac{1\times2\times...\times99}{2\times3\times...\times1000}=\frac{1}{100}\)
c, \(\frac{3}{4}\times\frac{8}{9}\times...\times\frac{99}{100}=\frac{1.3}{2.2}\times\frac{2.4}{3.3}\times...\times\frac{9.11}{10.10}=\frac{1.2.....9}{2.3.....10}\times\frac{3.4.....11}{2.3.....10}=\frac{1}{10}\times\frac{11}{2}=\frac{11}{20}\) (dấu . là dấu nhân)
Xin lỗi mk nhầm
đề là:
\(1\cdot2\cdot3\cdot4\cdot...\cdot99999999999+\left(\frac{1}{2}+\frac{2}{1}+0,5-1+3-5\right)\)
\(\frac{12}{35}:\frac{35}{25}=\frac{12}{35}.\frac{25}{35}=\frac{12.25}{35.35}=\frac{12.5.5}{7.5.7.5}=\frac{12}{49}\)
\(\frac{9}{22}.\frac{33}{18}=\frac{9.33}{22.18}=\frac{9.3.11}{11.2.9.2}=\frac{3}{4}\)
\(0,9\times6+0,9\times6\times15+3,6=0,9\times\left(6+5\times15\right)+3,6=0,9\times10\)\(=90+3,6=93,6\)
2,5 X ( 12,5 +17,3) X 97,5
= 2,5 +29,8 X 97,5
= 2,5 + 74,5 X 97,5
( tự tính)
\(=12,5\cdot2,5+2,5\cdot17,5+29,8\cdot39\cdot2,5\)
\(=2,5\cdot\left(12,5+17,5+39\right)\)
\(=2,5\cdot69\)
\(=172,5\)