3*10^8 divided by 1.44
You asked:
Evaluate the expression: \(\frac{3 \cdot {10}^{8}}{1.44}\)
MathBot Answer:
\[\frac{3 \cdot {10}^{8}}{1.44} = \frac{625000000}{3} = 208333333.\overline{3}\]
\[\begin{aligned}\frac{3 \cdot {10}^{8}}{1.44}& = 3 \cdot 10^{8} \cdot \frac{1}{1 + \frac{44}{100}}\\& = 3 \cdot 100000000 \cdot \frac{1}{1 + \frac{44}{100}}\\& = 3 \cdot 100000000 \cdot \frac{1}{1 + \frac{11}{25}}\\& = 3 \cdot 100000000 \cdot \frac{1}{\frac{36}{25}}\\& = 3 \cdot \frac{625000000}{9}\\& = \frac{625000000}{3}\end{aligned}\]