Solve 10200div(15000+4000+2500*6)div(1500*24+500*18+2500*16)

$$10200 \div (15000+4000+2500 \times 6) \div (1500 \times 24+500 \times 18+2500 \times 16)$$

Evaluate

$$\frac{3}{850000}\approx 0.000003529$$

Solution Steps

Add 15000 and 4000 to get 19000.

$$\frac{\frac{10200}{19000+2500\times 6}}{1500\times 24+500\times 18+2500\times 16}$$

Multiply 2500 and 6 to get 15000.

$$\frac{\frac{10200}{19000+15000}}{1500\times 24+500\times 18+2500\times 16}$$

Add 19000 and 15000 to get 34000.

$$\frac{\frac{10200}{34000}}{1500\times 24+500\times 18+2500\times 16}$$

Reduce the fraction \frac{10200}{34000} to lowest terms by extracting and canceling out 3400.

$$\frac{\frac{3}{10}}{1500\times 24+500\times 18+2500\times 16}$$

Multiply 1500 and 24 to get 36000. Multiply 500 and 18 to get 9000. Multiply 2500 and 16 to get 40000.

$$\frac{\frac{3}{10}}{36000+9000+40000}$$

Add 36000 and 9000 to get 45000.

$$\frac{\frac{3}{10}}{45000+40000}$$

Add 45000 and 40000 to get 85000.

$$\frac{\frac{3}{10}}{85000}$$

Express \frac{\frac{3}{10}}{85000} as a single fraction.

$$\frac{3}{10\times 85000}$$

Multiply 10 and 85000 to get 850000.

$$\frac{3}{850000}$$

Factor

$$\frac{3}{2 ^ {4} \cdot 5 ^ {5} \cdot 17} = 3.5294117647058827 \times 10^{-6}$$