Solve left(150+250right)3.32^2/2+left(150+250right)9.81*0.08

$$\frac{ \left( 150+250 \right) { 3.32 }^{ 2 } }{ 2 } + \left( 150+250 \right) 9.81 \cdot 0.08$$

Evaluate

$$2518.4$$

Solution Steps

Add 150 and 250 to get 400.

$$\frac{400\times 3.32^{2}}{2}+\left(150+250\right)\times 9.81\times 0.08$$

Calculate 3.32 to the power of 2 and get 11.0224.

$$\frac{400\times 11.0224}{2}+\left(150+250\right)\times 9.81\times 0.08$$

Multiply 400 and 11.0224 to get 4408.96.

$$\frac{4408.96}{2}+\left(150+250\right)\times 9.81\times 0.08$$

Expand \frac{4408.96}{2} by multiplying both numerator and the denominator by 100.

$$\frac{440896}{200}+\left(150+250\right)\times 9.81\times 0.08$$

Reduce the fraction \frac{440896}{200} to lowest terms by extracting and canceling out 8.

$$\frac{55112}{25}+\left(150+250\right)\times 9.81\times 0.08$$

Add 150 and 250 to get 400.

$$\frac{55112}{25}+400\times 9.81\times 0.08$$

Multiply 400 and 9.81 to get 3924.

$$\frac{55112}{25}+3924\times 0.08$$

Multiply 3924 and 0.08 to get 313.92.

$$\frac{55112}{25}+313.92$$

Convert decimal number 313.92 to fraction \frac{31392}{100}. Reduce the fraction \frac{31392}{100} to lowest terms by extracting and canceling out 4.

$$\frac{55112}{25}+\frac{7848}{25}$$

Since \frac{55112}{25} and \frac{7848}{25} have the same denominator, add them by adding their numerators.

$$\frac{55112+7848}{25}$$

Add 55112 and 7848 to get 62960.

$$\frac{62960}{25}$$

Reduce the fraction \frac{62960}{25} to lowest terms by extracting and canceling out 5.

$$\frac{12592}{5}$$

Factor

$$\frac{787 \cdot 2 ^ {4}}{5} = 2518\frac{2}{5} = 2518.4$$