Solve 200*300/365/400*9*3001000

$$\frac{ \frac{ 200 \cdot 300 }{ 365 } }{ 400 \cdot 9 \cdot 300 } 1000$$

Evaluate

$$\frac{100}{657}\approx 0.152207002$$

Solution Steps

Multiply 200 and 300 to get 60000.

$$\frac{\frac{60000}{365}}{400\times 9\times 300}\times 1000$$

Reduce the fraction \frac{60000}{365} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{12000}{73}}{400\times 9\times 300}\times 1000$$

Multiply 400 and 9 to get 3600.

$$\frac{\frac{12000}{73}}{3600\times 300}\times 1000$$

Multiply 3600 and 300 to get 1080000.

$$\frac{\frac{12000}{73}}{1080000}\times 1000$$

Express \frac{\frac{12000}{73}}{1080000} as a single fraction.

$$\frac{12000}{73\times 1080000}\times 1000$$

Multiply 73 and 1080000 to get 78840000.

$$\frac{12000}{78840000}\times 1000$$

Reduce the fraction \frac{12000}{78840000} to lowest terms by extracting and canceling out 12000.

$$\frac{1}{6570}\times 1000$$

Multiply \frac{1}{6570} and 1000 to get \frac{1000}{6570}.

$$\frac{1000}{6570}$$

Reduce the fraction \frac{1000}{6570} to lowest terms by extracting and canceling out 10.

$$\frac{100}{657}$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {2}}{3 ^ {2} \cdot 73} = 0.15220700152207$$