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C1) 17/25.13/19+17/25.6/19 C2) 17/25.13/19+17/25.6/19
=17/25.(13/19+6/19) =221/475+102/475
=17/25.1=17/25 =17/25
Học tốt nha
\(C1:\)
\(\frac{17}{25}x\frac{13}{19}+\frac{17}{25}x\frac{6}{19}\)
\(=\frac{17}{25}x\left(\frac{13}{19}+\frac{6}{19}\right)\)
\(=\frac{17}{25}x1\)
\(=\frac{17}{25}\)
\(C2:\)
\(\frac{17}{25}x\frac{13}{19}+\frac{17}{25}x\frac{6}{19}\)
\(=\frac{221}{475}+\frac{102}{475}\)
\(=\frac{323}{475}=\frac{17}{25}\)
Ta có:
\(A=\frac{\frac{1}{2001}+\frac{1}{2002}+...+\frac{1}{4000}}{\frac{1}{1.2}+\frac{1}{3.4}+...+\frac{1}{3999.4000}}\)
\(=\frac{\frac{1}{2001}+\frac{1}{2002}+...+\frac{1}{4000}}{\frac{1}{1}-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{3999}-\frac{1}{4000}}\)
\(=\frac{\frac{1}{2001}+\frac{1}{2002}+...+\frac{1}{4000}}{\left(1+\frac{1}{3}+...+\frac{1}{3999}\right)-\left(\frac{1}{2}+\frac{1}{4}+...+\frac{1}{4000}\right)}\)
\(=\frac{\frac{1}{2001}+\frac{1}{2002}+...+\frac{1}{4000}}{\left(1+\frac{1}{2}+\frac{1}{3}+...+\frac{1}{3999}+\frac{1}{4000}\right)-2.\left(\frac{1}{2}+\frac{1}{4}+...+\frac{1}{4000}\right)}\)
\(=\frac{\frac{1}{2001}+\frac{1}{2002}+...+\frac{1}{4000}}{\left(1+\frac{1}{2}+\frac{1}{3}+...+\frac{1}{3999}+\frac{1}{4000}\right)-\left(1+\frac{1}{2}+...+\frac{1}{2000}\right)}\)
\(=\frac{\frac{1}{2001}+\frac{1}{2002}+...+\frac{1}{4000}}{\frac{1}{2001}+\frac{1}{2002}+...+\frac{1}{4000}}=1\)
Ta lại có:
\(B=\frac{\left(17+1\right)\left(\frac{17}{2}+1\right)...\left(\frac{17}{19}+1\right)}{\left(1+\frac{19}{17}\right)\left(1+\frac{19}{16}\right)...\left(1+19\right)}\)
\(=\frac{\frac{18}{1}.\frac{19}{2}.\frac{20}{3}...\frac{36}{19}}{\frac{36}{17}.\frac{35}{16}.\frac{34}{15}...\frac{20}{1}}\)
\(=\frac{1.2.3...36}{1.2.3...36}=1\)
Từ đây ta suy ra được
\(A-B=1-1=0\)
\(y.\frac{52}{26}=\frac{17}{13}\)
\(y=\frac{17}{13}:\frac{52}{26}\)
\(y=\frac{17}{26}\)
\(4\frac{1}{2}:y=\frac{2}{7}\)
\(\frac{9}{2}:y=\frac{2}{7}\)
\(y=\frac{9}{2}:\frac{2}{7}\)
\(y=\frac{63}{4}\)
= [ 10 + 20 ] + [ 11 + 19 ] + [ 13 + 17 ] + 15
= 30 + 30 + 30 + 15
=105
10 + 11 + 13 + 15 + 17 + 19 + 20
= (10 + 20) + (11 + 19) + (13 + 17) + 15
= 30 + 30 + 30 + 15
= 105
\(1\frac{2}{3}+x=2\)
\(x=2-1\frac{2}{3}\)
\(x=\frac{1}{3}\)
\(\left(\frac{2}{5}+\frac{4}{7}\right):x=\frac{17}{5}\)
\(\frac{34}{35}:x=\frac{17}{5}\)
\(x=\frac{34}{35}:\frac{17}{5}\)
\(x=\frac{2}{7}\)
\(\left(\frac{2}{5}+\frac{4}{7}\right):x=\frac{17}{5}\)
\(\frac{34}{35}:x=\frac{17}{5}\)
\(x=\frac{17}{5}\times\frac{34}{35}\)
\(x=\frac{578}{175}\)
x+\(\frac{1}{2}\)=\(\frac{1}{4}\)+\(\frac{2}{4}\)
x+\(\frac{1}{2}\)=\(\frac{3}{4}\)
x=\(\frac{3}{4}\)-\(\frac{1}{2}\)
x=\(\frac{1}{4}\)
x+\(\frac{1}{2}\)=\(\frac{1}{4}\)+\(\frac{2}{4}\)
x+\(\frac{1}{2}\)=\(\frac{3}{4}\)
x=\(\frac{3}{4}\)-\(\frac{1}{2}\)
x=\(\frac{1}{4}\)k mk mk k lại !!!!! @ ^_^ @