180 / 3.14

asked by guest
on Jan 15, 2025 at 11:51 pm



You asked:

Evaluate the expression: \(\frac{180}{3.14}\)

MathBot Answer:

\[\frac{180}{3.14} = \frac{9000}{157} = 57.\overline{324840764331210191082802547770700636942675159235668789808917197452229299363057}\]


\[\begin{aligned}\frac{180}{3.14}& = 180 \cdot \frac{1}{3 + \frac{14}{100}}\\& = 180 \cdot \frac{1}{3 + \frac{7}{50}}\\& = 180 \cdot \frac{1}{\frac{157}{50}}\\& = \frac{9000}{157}\end{aligned}\]