(12.01 / 16.05) * 100

asked by guest
on Jan 08, 2025 at 5:07 am



You asked:

Evaluate the expression: \(\frac{12.01}{16.05} \cdot 100\)

MathBot Answer:

\[\frac{12.01}{16.05} \cdot 100 = \frac{24020}{321} = 74.\overline{82866043613707165109034267912772585669781931464174454}\]

\[\begin{aligned}\frac{12.01}{16.05} \cdot 100& = \left(12 + \frac{1}{100}\right) \cdot \frac{1}{16 + \frac{5}{100}} \cdot 100\\& = \frac{1201}{100} \cdot \frac{1}{16 + \frac{5}{100}} \cdot 100\\& = \frac{1201}{100} \cdot \frac{1}{16 + \frac{1}{20}} \cdot 100\\& = \frac{1201}{100} \cdot \frac{1}{\frac{321}{20}} \cdot 100\\& = \frac{1201}{100} \cdot \frac{20}{321} \cdot 100\\& = \frac{1201}{1605} \cdot 100\\& = \frac{24020}{321}\end{aligned}\]

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