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

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



You asked:

Evaluate the expression: 5384⋅24⋅60032100000⋅37300\frac{\frac{5}{384} \cdot 24 \cdot {600}^{3}}{2100000 \cdot 37300}

MathBot Answer:

5384⋅24⋅60032100000⋅37300=910444≈0.00086173879739563385675986212179\frac{\frac{5}{384} \cdot 24 \cdot {600}^{3}}{2100000 \cdot 37300} = \frac{9}{10444} \approx 0.00086173879739563385675986212179

5384⋅24⋅60032100000⋅37300=5384⋅24⋅2160000002100000⋅37300=5384⋅51840000002100000⋅37300=675000002100000⋅37300=6750000078330000000=910444\begin{aligned}\frac{\frac{5}{384} \cdot 24 \cdot {600}^{3}}{2100000 \cdot 37300}&=\frac{\frac{5}{384} \cdot 24 \cdot 216000000}{2100000 \cdot 37300}\\&=\frac{\frac{5}{384} \cdot 5184000000}{2100000 \cdot 37300}\\&=\frac{67500000}{2100000 \cdot 37300}\\&=\frac{67500000}{78330000000}\\&=\frac{9}{10444}\end{aligned}

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