17.425-12.512-1.425

asked by guest
on Oct 22, 2024 at 5:32 pm



You asked:

Evaluate the expression: \(17.425 - 12.512 - 1.425\)

MathBot Answer:

\[17.425 - 12.512 - 1.425 = \frac{436}{125} = 3.488\]

\[\begin{aligned}17.425 - 12.512 - 1.425& = 17 + \frac{425}{1000} - \left(12 + \frac{512}{1000}\right) - \left(1 + \frac{425}{1000}\right)\\& = 17 + \frac{17}{40} - \left(12 + \frac{512}{1000}\right) - \left(1 + \frac{425}{1000}\right)\\& = 17 + \frac{17}{40} - \left(12 + \frac{64}{125}\right) - \left(1 + \frac{425}{1000}\right)\\& = 17 + \frac{17}{40} - \frac{1564}{125} - \left(1 + \frac{425}{1000}\right)\\& = 17 + \frac{17}{40} - \frac{1564}{125} - \left(1 + \frac{17}{40}\right)\\& = 17 + \frac{17}{40} - \frac{1564}{125} - \frac{57}{40}\\& = \frac{697}{40} - \frac{1564}{125} - \frac{57}{40}\\& = \frac{4913}{1000} - \frac{57}{40}\\& = \frac{436}{125}\end{aligned}\]

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