Solve 0.16*315/(11.33*0.44+90.9*0.07+7.6*0.06+22*0.89+222.5*1)

$$\frac{ 0.16 \times 315 }{ (11.33 \times 0.44+90.9 \times 0.07+7.6 \times 0.06+22 \times 0.89+222.5 \times 1) }$$

Evaluate

$$\frac{252000}{1269421}\approx 0.198515701$$

Solution Steps

Multiply 0.16 and 315 to get 50.4.

$$\frac{50.4}{11.33\times 0.44+90.9\times 0.07+7.6\times 0.06+22\times 0.89+222.5\times 1}$$

Multiply 11.33 and 0.44 to get 4.9852.

$$\frac{50.4}{4.9852+90.9\times 0.07+7.6\times 0.06+22\times 0.89+222.5\times 1}$$

Multiply 90.9 and 0.07 to get 6.363.

$$\frac{50.4}{4.9852+6.363+7.6\times 0.06+22\times 0.89+222.5\times 1}$$

Add 4.9852 and 6.363 to get 11.3482.

$$\frac{50.4}{11.3482+7.6\times 0.06+22\times 0.89+222.5\times 1}$$

Multiply 7.6 and 0.06 to get 0.456.

$$\frac{50.4}{11.3482+0.456+22\times 0.89+222.5\times 1}$$

Add 11.3482 and 0.456 to get 11.8042.

$$\frac{50.4}{11.8042+22\times 0.89+222.5\times 1}$$

Multiply 22 and 0.89 to get 19.58.

$$\frac{50.4}{11.8042+19.58+222.5\times 1}$$

Add 11.8042 and 19.58 to get 31.3842.

$$\frac{50.4}{31.3842+222.5\times 1}$$

Multiply 222.5 and 1 to get 222.5.

$$\frac{50.4}{31.3842+222.5}$$

Add 31.3842 and 222.5 to get 253.8842.

$$\frac{50.4}{253.8842}$$

Expand \frac{50.4}{253.8842} by multiplying both numerator and the denominator by 10000.

$$\frac{504000}{2538842}$$

Reduce the fraction \frac{504000}{2538842} to lowest terms by extracting and canceling out 2.

$$\frac{252000}{1269421}$$

Factor

$$\frac{7 \cdot 2 ^ {5} \cdot 3 ^ {2} \cdot 5 ^ {3}}{199 \cdot 6379} = 0.19851570125277587$$