Solve 4.17*60^2div(1000*0.3*0.171+2.2-5)

$$4.17 \times { 60 }^{ 2 } \div (1000 \times 0.3 \times 0.171+2.2-5)$$

Evaluate

$$\frac{30024}{97}\approx 309.525773196$$

Solution Steps

Calculate 60 to the power of 2 and get 3600.

$$\frac{4.17\times 3600}{1000\times 0.3\times 0.171+2.2-5}$$

Multiply 4.17 and 3600 to get 15012.

$$\frac{15012}{1000\times 0.3\times 0.171+2.2-5}$$

Multiply 1000 and 0.3 to get 300.

$$\frac{15012}{300\times 0.171+2.2-5}$$

Multiply 300 and 0.171 to get 51.3.

$$\frac{15012}{51.3+2.2-5}$$

Add 51.3 and 2.2 to get 53.5.

$$\frac{15012}{53.5-5}$$

Subtract 5 from 53.5 to get 48.5.

$$\frac{15012}{48.5}$$

Expand \frac{15012}{48.5} by multiplying both numerator and the denominator by 10.

$$\frac{150120}{485}$$

Reduce the fraction \frac{150120}{485} to lowest terms by extracting and canceling out 5.

$$\frac{30024}{97}$$

Factor

$$\frac{139 \cdot 2 ^ {3} \cdot 3 ^ {3}}{97} = 309\frac{51}{97} = 309.5257731958763$$