Solve 4.17*60^2div(1000*0.2*0.171+2.2-5)

$$4.17 \times { 60 }^{ 2 } \div (1000 \times 0.2 \times 0.171+2.2-5)$$

Evaluate

$$\frac{75060}{157}\approx 478.089171975$$

Solution Steps

Calculate 60 to the power of 2 and get 3600.

$$\frac{4.17\times 3600}{1000\times 0.2\times 0.171+2.2-5}$$

Multiply 4.17 and 3600 to get 15012.

$$\frac{15012}{1000\times 0.2\times 0.171+2.2-5}$$

Multiply 1000 and 0.2 to get 200.

$$\frac{15012}{200\times 0.171+2.2-5}$$

Multiply 200 and 0.171 to get 34.2.

$$\frac{15012}{34.2+2.2-5}$$

Add 34.2 and 2.2 to get 36.4.

$$\frac{15012}{36.4-5}$$

Subtract 5 from 36.4 to get 31.4.

$$\frac{15012}{31.4}$$

Expand \frac{15012}{31.4} by multiplying both numerator and the denominator by 10.

$$\frac{150120}{314}$$

Reduce the fraction \frac{150120}{314} to lowest terms by extracting and canceling out 2.

$$\frac{75060}{157}$$

Factor

$$\frac{5 \cdot 139 \cdot 2 ^ {2} \cdot 3 ^ {3}}{157} = 478\frac{14}{157} = 478.0891719745223$$