1.05/1002500+2.5/100*440

asked by jerryjackroney
on Nov 23, 2024 at 9:48 am



You asked:

Evaluate the expression: \(\frac{1.05}{1002500} + \frac{2.5}{100} \cdot 440\)

MathBot Answer:

\[\frac{1.05}{1002500} + \frac{2.5}{100} \cdot 440 = \frac{220550021}{20050000} \approx 11.00000104738154613466334164588529\]

\[\begin{aligned}\frac{1.05}{1002500} + \frac{2.5}{100} \cdot 440& = \left(1 + \frac{5}{100}\right) \cdot \frac{1}{1002500} + \left(2 + \frac{5}{10}\right) \cdot \frac{440}{100}\\& = \left(1 + \frac{1}{20}\right) \cdot \frac{1}{1002500} + \left(2 + \frac{5}{10}\right) \cdot \frac{440}{100}\\& = \frac{21}{20} \cdot \frac{1}{1002500} + \left(2 + \frac{5}{10}\right) \cdot \frac{440}{100}\\& = \frac{21}{20050000} + \left(2 + \frac{5}{10}\right) \cdot \frac{440}{100}\\& = \frac{21}{20050000} + \left(2 + \frac{1}{2}\right) \cdot \frac{440}{100}\\& = \frac{21}{20050000} + \frac{5}{2} \cdot \frac{440}{100}\\& = \frac{21}{20050000} + \frac{440}{40}\\& = \frac{21}{20050000} + 11\\& = \frac{220550021}{20050000}\end{aligned}\]

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