14 - (1.2)-20.5-(10.25)+(-36/9)

asked by guest
on Nov 13, 2024 at 12:26 pm



You asked:

Evaluate the expression: \(14 - 1.2 - 20.5 - 10.25 + \frac{-36}{9}\)

MathBot Answer:

\[14 - 1.2 - 20.5 - 10.25 + \frac{-36}{9} = - \frac{439}{20} = -21.95\]


\[\begin{aligned}14 - 1.2 - 20.5 - 10.25 + \frac{-36}{9}& = 14 - \left(1 + \frac{2}{10}\right) - \left(20 + \frac{5}{10}\right) - \left(10 + \frac{25}{100}\right) - 4\\& = 14 - \left(1 + \frac{1}{5}\right) - \left(20 + \frac{5}{10}\right) - \left(10 + \frac{25}{100}\right) - 4\\& = 14 - \frac{6}{5} - \left(20 + \frac{5}{10}\right) - \left(10 + \frac{25}{100}\right) - 4\\& = 14 - \frac{6}{5} - \left(20 + \frac{1}{2}\right) - \left(10 + \frac{25}{100}\right) - 4\\& = 14 - \frac{6}{5} - \frac{41}{2} - \left(10 + \frac{25}{100}\right) - 4\\& = 14 - \frac{6}{5} - \frac{41}{2} - \left(10 + \frac{1}{4}\right) - 4\\& = 14 - \frac{6}{5} - \frac{41}{2} - \frac{41}{4} - 4\\& = \frac{64}{5} - \frac{41}{2} - \frac{41}{4} - 4\\& = - \frac{77}{10} - \frac{41}{4} - 4\\& = - \frac{359}{20} - 4\\& = - \frac{439}{20}\end{aligned}\]