3.14(8+4/3*4.25*4.25*4.25)

asked by guest
on Nov 29, 2024 at 1:33 am



You asked:

Evaluate the expression: 3.14(8+43⋅4.25⋅4.25⋅4.25)3.14 \left(8 + \frac{4}{3} \cdot 4.25 \cdot 4.25 \cdot 4.25\right)

MathBot Answer:

3.14(8+43⋅4.25⋅4.25⋅4.25)=8316292400=346.512083‾3.14 \left(8 + \frac{4}{3} \cdot 4.25 \cdot 4.25 \cdot 4.25\right) = \frac{831629}{2400} = 346.51208\overline{3}

3.14(8+43⋅4.25⋅4.25⋅4.25)=15750(8+43⋅4.25⋅4.25⋅4.25)=15750(8+43⋅174⋅4.25⋅4.25)=15750(8+173⋅4.25⋅4.25)=15750(8+173⋅174⋅4.25)=15750(8+28912⋅4.25)=15750(8+28912⋅174)=15750(8+491348)=15750⋅529748=8316292400\begin{aligned}3.14 \left(8 + \frac{4}{3} \cdot 4.25 \cdot 4.25 \cdot 4.25\right)&=\frac{157}{50} \left(8 + \frac{4}{3} \cdot 4.25 \cdot 4.25 \cdot 4.25\right)\\&=\frac{157}{50} \left(8 + \frac{4}{3} \cdot \frac{17}{4} \cdot 4.25 \cdot 4.25\right)\\&=\frac{157}{50} \left(8 + \frac{17}{3} \cdot 4.25 \cdot 4.25\right)\\&=\frac{157}{50} \left(8 + \frac{17}{3} \cdot \frac{17}{4} \cdot 4.25\right)\\&=\frac{157}{50} \left(8 + \frac{289}{12} \cdot 4.25\right)\\&=\frac{157}{50} \left(8 + \frac{289}{12} \cdot \frac{17}{4}\right)\\&=\frac{157}{50} \left(8 + \frac{4913}{48}\right)\\&=\frac{157}{50} \cdot \frac{5297}{48}\\&=\frac{831629}{2400}\end{aligned}

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