0.0225/3.7725

asked by guest
on Nov 16, 2024 at 5:19 am



You asked:

Evaluate the expression: \(\frac{0.0225}{3.7725}\)

MathBot Answer:

\[\frac{0.0225}{3.7725} = \frac{3}{503} \approx 0.00596421471172962226640159045726\]


\[\begin{aligned}\frac{0.0225}{3.7725}& = \frac{225}{10000} \cdot \frac{1}{3 + \frac{7725}{10000}}\\& = \frac{225}{10000} \cdot \frac{1}{3 + \frac{309}{400}}\\& = \frac{225}{10000} \cdot \frac{1}{\frac{1509}{400}}\\& = \frac{225}{37725}\\& = \frac{3}{503}\end{aligned}\]