3*10^8/1.33

asked by guest
on Jan 08, 2025 at 6:27 am



You asked:

Evaluate the expression: \(\frac{3 \cdot {10}^{8}}{1.33}\)

MathBot Answer:

\[\frac{3 \cdot {10}^{8}}{1.33} = \frac{30000000000}{133} = 225563909.\overline{774436090225563909}\]


\[\begin{aligned}\frac{3 \cdot {10}^{8}}{1.33}& = 3 \cdot 10^{8} \cdot \frac{1}{1 + \frac{33}{100}}\\& = 3 \cdot 100000000 \cdot \frac{1}{1 + \frac{33}{100}}\\& = 3 \cdot 100000000 \cdot \frac{1}{\frac{133}{100}}\\& = 3 \cdot \frac{10000000000}{133}\\& = \frac{30000000000}{133}\end{aligned}\]