Solve 0.16*315/(11.33*0.42+90.9*0.1+7.6*0.04+22*0.99)

$$\frac{ 0.16 \times 315 }{ (11.33 \times 0.42+90.9 \times 0.1+7.6 \times 0.04+22 \times 0.99) }$$

Evaluate

$$\frac{252000}{179663}\approx 1.402626028$$

Solution Steps

Multiply 0.16 and 315 to get 50.4.

$$\frac{50.4}{11.33\times 0.42+90.9\times 0.1+7.6\times 0.04+22\times 0.99}$$

Multiply 11.33 and 0.42 to get 4.7586.

$$\frac{50.4}{4.7586+90.9\times 0.1+7.6\times 0.04+22\times 0.99}$$

Multiply 90.9 and 0.1 to get 9.09.

$$\frac{50.4}{4.7586+9.09+7.6\times 0.04+22\times 0.99}$$

Add 4.7586 and 9.09 to get 13.8486.

$$\frac{50.4}{13.8486+7.6\times 0.04+22\times 0.99}$$

Multiply 7.6 and 0.04 to get 0.304.

$$\frac{50.4}{13.8486+0.304+22\times 0.99}$$

Add 13.8486 and 0.304 to get 14.1526.

$$\frac{50.4}{14.1526+22\times 0.99}$$

Multiply 22 and 0.99 to get 21.78.

$$\frac{50.4}{14.1526+21.78}$$

Add 14.1526 and 21.78 to get 35.9326.

$$\frac{50.4}{35.9326}$$

Expand \frac{50.4}{35.9326} by multiplying both numerator and the denominator by 10000.

$$\frac{504000}{359326}$$

Reduce the fraction \frac{504000}{359326} to lowest terms by extracting and canceling out 2.

$$\frac{252000}{179663}$$

Factor

$$\frac{7 \cdot 2 ^ {5} \cdot 3 ^ {2} \cdot 5 ^ {3}}{11 \cdot 16333} = 1\frac{72337}{179663} = 1.4026260276183744$$