Solve 215*1.2*43/10*(198.92)^2

$$\frac { 215 \cdot 1.2 \cdot 43 } { 10 \cdot ( 198.92 ) ^ { 2 } }$$

Evaluate

$$\frac{693375}{24730729}\approx 0.028036982$$

Solution Steps

Cancel out 5 in both numerator and denominator.

$$\frac{1.2\times 43\times 43}{2\times 198.92^{2}}$$

Multiply 1.2 and 43 to get 51.6.

$$\frac{51.6\times 43}{2\times 198.92^{2}}$$

Multiply 51.6 and 43 to get 2218.8.

$$\frac{2218.8}{2\times 198.92^{2}}$$

Calculate 198.92 to the power of 2 and get 39569.1664.

$$\frac{2218.8}{2\times 39569.1664}$$

Multiply 2 and 39569.1664 to get 79138.3328.

$$\frac{2218.8}{79138.3328}$$

Expand \frac{2218.8}{79138.3328} by multiplying both numerator and the denominator by 10000.

$$\frac{22188000}{791383328}$$

Reduce the fraction \frac{22188000}{791383328} to lowest terms by extracting and canceling out 32.

$$\frac{693375}{24730729}$$

Factor

$$\frac{3 \cdot 5 ^ {3} \cdot 43 ^ {2}}{4973 ^ {2}} = 0.02803698184554123$$