(18.02-17.53)/40

asked by guest
on Jan 13, 2025 at 10:14 am



You asked:

Evaluate the expression: \(\frac{18.02 - 17.53}{40}\)

MathBot Answer:

\[\frac{18.02 - 17.53}{40} = \frac{49}{4000} = 0.01225\]

\[\begin{aligned}\frac{18.02 - 17.53}{40}& = \left(18 + \frac{2}{100} - \left(17 + \frac{53}{100}\right)\right) \cdot \frac{1}{40}\\& = \left(18 + \frac{1}{50} - \left(17 + \frac{53}{100}\right)\right) \cdot \frac{1}{40}\\& = \left(18 + \frac{1}{50} - \frac{1753}{100}\right) \cdot \frac{1}{40}\\& = \left(\frac{901}{50} - \frac{1753}{100}\right) \cdot \frac{1}{40}\\& = \frac{49}{100} \cdot \frac{1}{40}\\& = \frac{49}{4000}\end{aligned}\]

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