(17.98-17.88)/80

asked by guest
on Jan 13, 2025 at 10:19 am



You asked:

Evaluate the expression: \(\frac{17.98 - 17.88}{80}\)

MathBot Answer:

\[\frac{17.98 - 17.88}{80} = \frac{1}{800} = 0.00125\]

\[\begin{aligned}\frac{17.98 - 17.88}{80}& = \left(17 + \frac{98}{100} - \left(17 + \frac{88}{100}\right)\right) \cdot \frac{1}{80}\\& = \left(17 + \frac{49}{50} - \left(17 + \frac{88}{100}\right)\right) \cdot \frac{1}{80}\\& = \left(17 + \frac{49}{50} - \left(17 + \frac{22}{25}\right)\right) \cdot \frac{1}{80}\\& = \left(17 + \frac{49}{50} - \frac{447}{25}\right) \cdot \frac{1}{80}\\& = \left(\frac{899}{50} - \frac{447}{25}\right) \cdot \frac{1}{80}\\& = \frac{1}{10} \cdot \frac{1}{80}\\& = \frac{1}{800}\end{aligned}\]

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