45.75/1.5

asked by guest
on Nov 09, 2024 at 7:08 pm



You asked:

Evaluate the expression: \(\frac{45.75}{1.5}\)

MathBot Answer:

\[\frac{45.75}{1.5} = \frac{61}{2} = 30.5\]

\[\begin{aligned}\frac{45.75}{1.5}& = \left(45 + \frac{75}{100}\right) \cdot \frac{1}{1 + \frac{5}{10}}\\& = \left(45 + \frac{3}{4}\right) \cdot \frac{1}{1 + \frac{5}{10}}\\& = \frac{183}{4} \cdot \frac{1}{1 + \frac{5}{10}}\\& = \frac{183}{4} \cdot \frac{1}{1 + \frac{1}{2}}\\& = \frac{183}{4} \cdot \frac{1}{\frac{3}{2}}\\& = \frac{61}{2}\end{aligned}\]

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