(5/384)*(24*(600)^3)/(2100000*37300)

asked by guest
on Nov 18, 2024 at 10:18 am



You asked:

Evaluate the expression: \(\frac{\frac{5}{384} \cdot 24 \cdot {600}^{3}}{2100000 \cdot 37300}\)

MathBot Answer:

\[\frac{\frac{5}{384} \cdot 24 \cdot {600}^{3}}{2100000 \cdot 37300} = \frac{9}{10444} \approx 0.00086173879739563385675986212179\]

\[\begin{aligned}\frac{\frac{5}{384} \cdot 24 \cdot {600}^{3}}{2100000 \cdot 37300}& = \frac{5}{384} \cdot 24 \cdot 600^{3} \cdot \frac{1}{2100000 \cdot 37300}\\& = \frac{5}{384} \cdot 24 \cdot 216000000 \cdot \frac{1}{2100000 \cdot 37300}\\& = \frac{5}{384} \cdot 24 \cdot \frac{216000000}{78330000000}\\& = \frac{5}{384} \cdot 24 \cdot \frac{36}{13055}\\& = \frac{5}{16} \cdot \frac{36}{13055}\\& = \frac{9}{10444}\end{aligned}\]

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