((2000 – 5)/((2000+2005)/2)) / ((90-100)/((90+100)/2))

asked by guest
on Nov 17, 2024 at 12:44 am



You asked:

Evaluate the expression: 2000−52000+2005290−10090+1002\frac{\frac{2000 - 5}{\frac{2000 + 2005}{2}}}{\frac{90 - 100}{\frac{90 + 100}{2}}}

MathBot Answer:

2000−52000+2005290−10090+1002=−2527267=−9.46441947565543071161048689138576779026217228‾\frac{\frac{2000 - 5}{\frac{2000 + 2005}{2}}}{\frac{90 - 100}{\frac{90 + 100}{2}}} = - \frac{2527}{267} = -9.\overline{46441947565543071161048689138576779026217228}

2000−52000+2005290−10090+1002=19952000+2005290−10090+1002=19954005290−10090+1002=26626790−10090+1002=266267−1090+1002=266267−101902=266267−1095=266267−219=−2527267\begin{aligned}\frac{\frac{2000 - 5}{\frac{2000 + 2005}{2}}}{\frac{90 - 100}{\frac{90 + 100}{2}}}&=\frac{\frac{1995}{\frac{2000 + 2005}{2}}}{\frac{90 - 100}{\frac{90 + 100}{2}}}\\&=\frac{\frac{1995}{\frac{4005}{2}}}{\frac{90 - 100}{\frac{90 + 100}{2}}}\\&=\frac{\frac{266}{267}}{\frac{90 - 100}{\frac{90 + 100}{2}}}\\&=\frac{\frac{266}{267}}{\frac{-10}{\frac{90 + 100}{2}}}\\&=\frac{\frac{266}{267}}{\frac{-10}{\frac{190}{2}}}\\&=\frac{\frac{266}{267}}{\frac{-10}{95}}\\&=\frac{\frac{266}{267}}{\frac{-2}{19}}\\&=\frac{-2527}{267}\end{aligned}

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