47.95 divided by 2.2500

asked by guest
on Sep 21, 2024 at 7:01 pm



You asked:

Evaluate the expression: \(\frac{47.95}{2.2500}\)

MathBot Answer:

\[\frac{47.95}{2.2500} = \frac{959}{45} = 21.3\overline{1}\]


\[\begin{aligned}\frac{47.95}{2.2500}& = \left(47 + \frac{95}{100}\right) \cdot \frac{1}{2 + \frac{25}{100}}\\& = \left(47 + \frac{19}{20}\right) \cdot \frac{1}{2 + \frac{25}{100}}\\& = \frac{959}{20} \cdot \frac{1}{2 + \frac{25}{100}}\\& = \frac{959}{20} \cdot \frac{1}{2 + \frac{1}{4}}\\& = \frac{959}{20} \cdot \frac{1}{\frac{9}{4}}\\& = \frac{959}{45}\end{aligned}\]