[1/2*18.5]*9.8/1.24

asked by guest
on Nov 17, 2024 at 4:40 pm



You asked:

Evaluate the expression: \(\frac{\frac{1}{2} \cdot 18.5 \cdot 9.8}{1.24}\)

MathBot Answer:

\[\frac{\frac{1}{2} \cdot 18.5 \cdot 9.8}{1.24} = \frac{9065}{124} = 73.10\overline{483870967741935}\]

\[\begin{aligned}\frac{\frac{1}{2} \cdot 18.5 \cdot 9.8}{1.24}& = \frac{1}{2} \cdot \left(18 + \frac{5}{10}\right) \cdot \left(9 + \frac{8}{10}\right) \cdot \frac{1}{1 + \frac{24}{100}}\\& = \frac{1}{2} \cdot \left(18 + \frac{1}{2}\right) \cdot \left(9 + \frac{8}{10}\right) \cdot \frac{1}{1 + \frac{24}{100}}\\& = \frac{1}{2} \cdot \frac{37}{2} \cdot \left(9 + \frac{8}{10}\right) \cdot \frac{1}{1 + \frac{24}{100}}\\& = \frac{1}{2} \cdot \frac{37}{2} \cdot \left(9 + \frac{4}{5}\right) \cdot \frac{1}{1 + \frac{24}{100}}\\& = \frac{1}{2} \cdot \frac{37}{2} \cdot \frac{49}{5} \cdot \frac{1}{1 + \frac{24}{100}}\\& = \frac{1}{2} \cdot \frac{37}{2} \cdot \frac{49}{5} \cdot \frac{1}{1 + \frac{6}{25}}\\& = \frac{1}{2} \cdot \frac{37}{2} \cdot \frac{49}{5} \cdot \frac{1}{\frac{31}{25}}\\& = \frac{1}{2} \cdot \frac{37}{2} \cdot \frac{245}{31}\\& = \frac{37}{4} \cdot \frac{245}{31}\\& = \frac{9065}{124}\end{aligned}\]

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