36.13/1.12

asked by guest
on Oct 19, 2024 at 10:44 pm



You asked:

Evaluate the expression: \(\frac{36.13}{1.12}\)

MathBot Answer:

\[\frac{36.13}{1.12} = \frac{3613}{112} = 32.2589\overline{285714}\]

\[\begin{aligned}\frac{36.13}{1.12}& = \left(36 + \frac{13}{100}\right) \cdot \frac{1}{1 + \frac{12}{100}}\\& = \frac{3613}{100} \cdot \frac{1}{1 + \frac{12}{100}}\\& = \frac{3613}{100} \cdot \frac{1}{1 + \frac{3}{25}}\\& = \frac{3613}{100} \cdot \frac{1}{\frac{28}{25}}\\& = \frac{3613}{112}\end{aligned}\]

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