Solve 4.17*60^2div(1000*0.21*0.171+2.2-5)

$$4.17 \times { 60 }^{ 2 } \div (1000 \times 0.21 \times 0.171+2.2-5)$$

Evaluate

$$\frac{1501200}{3311}\approx 453.397765026$$

Solution Steps

Calculate 60 to the power of 2 and get 3600.

$$\frac{4.17\times 3600}{1000\times 0.21\times 0.171+2.2-5}$$

Multiply 4.17 and 3600 to get 15012.

$$\frac{15012}{1000\times 0.21\times 0.171+2.2-5}$$

Multiply 1000 and 0.21 to get 210.

$$\frac{15012}{210\times 0.171+2.2-5}$$

Multiply 210 and 0.171 to get 35.91.

$$\frac{15012}{35.91+2.2-5}$$

Add 35.91 and 2.2 to get 38.11.

$$\frac{15012}{38.11-5}$$

Subtract 5 from 38.11 to get 33.11.

$$\frac{15012}{33.11}$$

Expand \frac{15012}{33.11} by multiplying both numerator and the denominator by 100.

$$\frac{1501200}{3311}$$

Factor

$$\frac{139 \cdot 2 ^ {4} \cdot 3 ^ {3} \cdot 5 ^ {2}}{7 \cdot 11 \cdot 43} = 453\frac{1317}{3311} = 453.397765025672$$