so sánh phân số 9/24 và 6/16
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`2+1/[2+1/[2+1/[2+1/2]]]`
`=2+1/[2+1/[2+1/[4/2+1/2]]]`
`=2+1/[2+1/[2+1/[5/2]]]`
`=2+1/[2+1/[2+2/5]]`
`=2+1/[2+1/[10/5+2/5]]`
`=2+1/[2+1/[12/5]]`
`=2+1/[2+5/12]`
`=2+1/[24/12+5/12]`
`=2+1/[29/12]`
`=2+12/29`
`=58/29+12/29=70/29`
\(2+\dfrac{1}{2+\dfrac{1}{2+\dfrac{1}{2+\dfrac{1}{2}}}}=2+\dfrac{1}{2+\dfrac{1}{2+\dfrac{1}{\dfrac{5}{2}}}}=2+\dfrac{1}{2+\dfrac{1}{2+\dfrac{2}{5}}}=2+\dfrac{1}{2+\dfrac{1}{\dfrac{12}{5}}}=2+\dfrac{1}{2+\dfrac{5}{12}}=2+\dfrac{1}{\dfrac{29}{12}}=2+\dfrac{12}{29}=\dfrac{70}{29}\)
\(\dfrac{2}{8.9}+\dfrac{2}{9.10}+...+\dfrac{2}{63.64}\)
\(=2.\left(\dfrac{1}{8.9}+\dfrac{1}{9.10}+...+\dfrac{1}{63.64}\right)\)
\(=2.\left(\dfrac{1}{8}-\dfrac{1}{9}+\dfrac{1}{9}-....-\dfrac{1}{63}+\dfrac{1}{63}-\dfrac{1}{64}\right)\)
\(=2.\left(\dfrac{1}{8}-\dfrac{1}{64}\right)\)
\(=\dfrac{7}{32}\)
\(-\left(x+11\right)=\left(3x+22\right)-\left(6+x\right)\)
\(\Rightarrow-x-11=3x+22-6-x\)
\(\Rightarrow-x-11=2x+16\)
\(\Rightarrow-x-2x=11+16\)
\(\Rightarrow-3x=27\)
\(\Rightarrow x=-9\)
\(-\left(-x+11-134\right)=199-\left(x-24\right)\)
\(\Rightarrow x-111+134=199-x+24\)
\(\Rightarrow x+23=233-x\)
\(\Rightarrow2x=200\)
\(\Rightarrow x=100\)
\(\left(x+3\right).2+x=\left(200-9x\right)-350\)
\(\Rightarrow2x+6+x=200-9x-350\)
\(\Rightarrow12x=-156\)
\(\Rightarrow x=-13\)
9/24 = 3/8 = 6/16
`9/24 = 3/8`
`6/16 = 3/8`
`=> 9/24 = 6/16`