Solve 4/33*14{left(8.5/2right)}^2

$$\frac{ 4 }{ 3 } 3 \cdot 14 { \left( \frac{ 8.5 }{ 2 } \right) }^{ 2 }$$

Evaluate

$$1011.5$$

Solution Steps

Multiply \frac{4}{3} and 3 to get 4.

$$4\times 14\times \left(\frac{8.5}{2}\right)^{2}$$

Multiply 4 and 14 to get 56.

$$56\times \left(\frac{8.5}{2}\right)^{2}$$

Expand \frac{8.5}{2} by multiplying both numerator and the denominator by 10.

$$56\times \left(\frac{85}{20}\right)^{2}$$

Reduce the fraction \frac{85}{20} to lowest terms by extracting and canceling out 5.

$$56\times \left(\frac{17}{4}\right)^{2}$$

Calculate \frac{17}{4} to the power of 2 and get \frac{289}{16}.

$$56\times \frac{289}{16}$$

Multiply 56 and \frac{289}{16} to get \frac{2023}{2}.

$$\frac{2023}{2}$$

Factor

$$\frac{7 \cdot 17 ^ {2}}{2} = 1011\frac{1}{2} = 1011.5$$