4รท1.45 solution step by step

asked by guest
on Nov 23, 2024 at 7:31 pm



You asked:

Evaluate the expression: \(\frac{4}{1.45}\)

MathBot Answer:

\[\frac{4}{1.45} = \frac{80}{29} = 2.\overline{7586206896551724137931034482}\]


\[\begin{aligned}\frac{4}{1.45}& = 4 \cdot \frac{1}{1 + \frac{45}{100}}\\& = 4 \cdot \frac{1}{1 + \frac{9}{20}}\\& = 4 \cdot \frac{1}{\frac{29}{20}}\\& = \frac{80}{29}\end{aligned}\]