Solve 0.9*13000*10^4/3400*25.2

$$\frac { 0.9 \times 13000 \times 10 ^ { 4 } } { 3400 \times 25.2 }$$

Evaluate

$$\frac{162500}{119}\approx 1365.546218487$$

Solution Steps

Cancel out 200 in both numerator and denominator.

$$\frac{0.9\times 65\times 10^{4}}{17\times 25.2}$$

Multiply 0.9 and 65 to get 58.5.

$$\frac{58.5\times 10^{4}}{17\times 25.2}$$

Calculate 10 to the power of 4 and get 10000.

$$\frac{58.5\times 10000}{17\times 25.2}$$

Multiply 58.5 and 10000 to get 585000.

$$\frac{585000}{17\times 25.2}$$

Multiply 17 and 25.2 to get 428.4.

$$\frac{585000}{428.4}$$

Expand \frac{585000}{428.4} by multiplying both numerator and the denominator by 10.

$$\frac{5850000}{4284}$$

Reduce the fraction \frac{5850000}{4284} to lowest terms by extracting and canceling out 36.

$$\frac{162500}{119}$$

Factor

$$\frac{13 \cdot 2 ^ {2} \cdot 5 ^ {5}}{7 \cdot 17} = 1365\frac{65}{119} = 1365.546218487395$$