2รท2.54

asked by guest
on Nov 20, 2024 at 2:26 am



You asked:

Evaluate the expression: \(\frac{2}{2.54}\)

MathBot Answer:

\[\frac{2}{2.54} = \frac{100}{127} = 0.\overline{787401574803149606299212598425196850393700}\]

\[\begin{aligned}\frac{2}{2.54}& = 2 \cdot \frac{1}{2 + \frac{54}{100}}\\& = 2 \cdot \frac{1}{2 + \frac{27}{50}}\\& = 2 \cdot \frac{1}{\frac{127}{50}}\\& = \frac{100}{127}\end{aligned}\]

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