Solve {left(5900/3600*2right)}^2*1/2*84

$${ \left( \frac{ 5900 }{ 3600 \times 2 } \right) }^{ 2 } \times \frac{ 1 }{ 2 } \times 84$$

Evaluate

$$\frac{24367}{864}\approx 28.202546296$$

Solution Steps

Multiply 3600 and 2 to get 7200.

$$\left(\frac{5900}{7200}\right)^{2}\times \frac{1}{2}\times 84$$

Reduce the fraction \frac{5900}{7200} to lowest terms by extracting and canceling out 100.

$$\left(\frac{59}{72}\right)^{2}\times \frac{1}{2}\times 84$$

Calculate \frac{59}{72} to the power of 2 and get \frac{3481}{5184}.

$$\frac{3481}{5184}\times \frac{1}{2}\times 84$$

Multiply \frac{3481}{5184} and \frac{1}{2} to get \frac{3481}{10368}.

$$\frac{3481}{10368}\times 84$$

Multiply \frac{3481}{10368} and 84 to get \frac{24367}{864}.

$$\frac{24367}{864}$$

Factor

$$\frac{7 \cdot 59 ^ {2}}{2 ^ {5} \cdot 3 ^ {3}} = 28\frac{175}{864} = 28.202546296296298$$