Solve 0.17*60^2/(200*0.2*0.711+2.2+(-5)

$$\frac { 0.17 \cdot 60 ^ { 2 } } { ( 200 \cdot 0.2 \cdot 0.711 + 2.2 + ( - 5 ) }$$

Evaluate

$$\frac{15300}{641}\approx 23.868954758$$

Solution Steps

Calculate 60 to the power of 2 and get 3600.

$$\frac{0.17\times 3600}{200\times 0.2\times 0.711+2.2-5}$$

Multiply 0.17 and 3600 to get 612.

$$\frac{612}{200\times 0.2\times 0.711+2.2-5}$$

Multiply 200 and 0.2 to get 40.

$$\frac{612}{40\times 0.711+2.2-5}$$

Multiply 40 and 0.711 to get 28.44.

$$\frac{612}{28.44+2.2-5}$$

Add 28.44 and 2.2 to get 30.64.

$$\frac{612}{30.64-5}$$

Subtract 5 from 30.64 to get 25.64.

$$\frac{612}{25.64}$$

Expand \frac{612}{25.64} by multiplying both numerator and the denominator by 100.

$$\frac{61200}{2564}$$

Reduce the fraction \frac{61200}{2564} to lowest terms by extracting and canceling out 4.

$$\frac{15300}{641}$$

Factor

$$\frac{17 \cdot 2 ^ {2} \cdot 3 ^ {2} \cdot 5 ^ {2}}{641} = 23\frac{557}{641} = 23.868954758190327$$