3×10⁸/2.42
You asked:
Evaluate the expression: \(\frac{3 \cdot {10}^{8}}{2.42}\)
MathBot Answer:
\[\frac{3 \cdot {10}^{8}}{2.42} = \frac{15000000000}{121} = 123966942.\overline{1487603305785123966942}\]
\[\begin{aligned}\frac{3 \cdot {10}^{8}}{2.42}& = 3 \cdot 10^{8} \cdot \frac{1}{2 + \frac{42}{100}}\\& = 3 \cdot 100000000 \cdot \frac{1}{2 + \frac{42}{100}}\\& = 3 \cdot 100000000 \cdot \frac{1}{2 + \frac{21}{50}}\\& = 3 \cdot 100000000 \cdot \frac{1}{\frac{121}{50}}\\& = 3 \cdot \frac{5000000000}{121}\\& = \frac{15000000000}{121}\end{aligned}\]