Solve 1/2*[9.807*5+9.80]*(5-3)]*6

$$\frac { 1 } { 2 } \times [ 9.807 \times 5 + 9.80 ] \times ( 5 - 3 ) ] \times 6$$

Evaluate

$$58.835$$

Solution Steps

Multiply 9.807 and 5 to get 49.035.

$$\frac{1}{2}\left(49.035+9.8\right)\left(5-3\right)$$

Add 49.035 and 9.8 to get 58.835.

$$\frac{1}{2}\times 58.835\left(5-3\right)$$

Convert decimal number 58.835 to fraction \frac{58835}{1000}. Reduce the fraction \frac{58835}{1000} to lowest terms by extracting and canceling out 5.

$$\frac{1}{2}\times \frac{11767}{200}\left(5-3\right)$$

Multiply \frac{1}{2} times \frac{11767}{200} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 11767}{2\times 200}\left(5-3\right)$$

Do the multiplications in the fraction \frac{1\times 11767}{2\times 200}.

$$\frac{11767}{400}\left(5-3\right)$$

Subtract 3 from 5 to get 2.

$$\frac{11767}{400}\times 2$$

Express \frac{11767}{400}\times 2 as a single fraction.

$$\frac{11767\times 2}{400}$$

Multiply 11767 and 2 to get 23534.

$$\frac{23534}{400}$$

Reduce the fraction \frac{23534}{400} to lowest terms by extracting and canceling out 2.

$$\frac{11767}{200}$$

Factor

$$\frac{7 \cdot 41 ^ {2}}{2 ^ {3} \cdot 5 ^ {2}} = 58\frac{167}{200} = 58.835$$