2.5 divided by 2.25

asked by guest
on Nov 18, 2024 at 1:37 pm



You asked:

Evaluate the expression: \(\frac{2.5}{2.25}\)

MathBot Answer:

\[\frac{2.5}{2.25} = \frac{10}{9} = 1.\overline{1}\]

\[\begin{aligned}\frac{2.5}{2.25}& = \left(2 + \frac{5}{10}\right) \cdot \frac{1}{2 + \frac{25}{100}}\\& = \left(2 + \frac{1}{2}\right) \cdot \frac{1}{2 + \frac{25}{100}}\\& = \frac{5}{2} \cdot \frac{1}{2 + \frac{25}{100}}\\& = \frac{5}{2} \cdot \frac{1}{2 + \frac{1}{4}}\\& = \frac{5}{2} \cdot \frac{1}{\frac{9}{4}}\\& = \frac{10}{9}\end{aligned}\]

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