566.25/7.5

asked by guest
on Jan 22, 2025 at 6:03 am



You asked:

Evaluate the expression: \(\frac{566.25}{7.5}\)

MathBot Answer:

\[\frac{566.25}{7.5} = \frac{151}{2} = 75.5\]

\[\begin{aligned}\frac{566.25}{7.5}& = \left(566 + \frac{25}{100}\right) \cdot \frac{1}{7 + \frac{5}{10}}\\& = \left(566 + \frac{1}{4}\right) \cdot \frac{1}{7 + \frac{5}{10}}\\& = \frac{2265}{4} \cdot \frac{1}{7 + \frac{5}{10}}\\& = \frac{2265}{4} \cdot \frac{1}{7 + \frac{1}{2}}\\& = \frac{2265}{4} \cdot \frac{1}{\frac{15}{2}}\\& = \frac{151}{2}\end{aligned}\]

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