5.002/4.3

asked by guest
on Jan 22, 2025 at 10:40 pm



You asked:

Evaluate the expression: \(\frac{5.002}{4.3}\)

MathBot Answer:

\[\frac{5.002}{4.3} = \frac{2501}{2150} = 1.16\overline{325581395348837209302}\]


\[\begin{aligned}\frac{5.002}{4.3}& = \left(5 + \frac{2}{1000}\right) \cdot \frac{1}{4 + \frac{3}{10}}\\& = \left(5 + \frac{1}{500}\right) \cdot \frac{1}{4 + \frac{3}{10}}\\& = \frac{2501}{500} \cdot \frac{1}{4 + \frac{3}{10}}\\& = \frac{2501}{500} \cdot \frac{1}{\frac{43}{10}}\\& = \frac{2501}{2150}\end{aligned}\]