Solve (14.2div(104.4+120-5.8))%

$$(14.2 \div (104.4+120-5.8)) \%$$

Evaluate

$$\frac{71}{109300}\approx 0.000649588$$

Solution Steps

Express \frac{\frac{14.2}{104.4+120-5.8}}{100} as a single fraction.

$$\frac{14.2}{\left(104.4+120-5.8\right)\times 100}$$

Add 104.4 and 120 to get 224.4.

$$\frac{14.2}{\left(224.4-5.8\right)\times 100}$$

Subtract 5.8 from 224.4 to get 218.6.

$$\frac{14.2}{218.6\times 100}$$

Multiply 218.6 and 100 to get 21860.

$$\frac{14.2}{21860}$$

Expand \frac{14.2}{21860} by multiplying both numerator and the denominator by 10.

$$\frac{142}{218600}$$

Reduce the fraction \frac{142}{218600} to lowest terms by extracting and canceling out 2.

$$\frac{71}{109300}$$

Factor

$$\frac{71}{1093 \cdot 2 ^ {2} \cdot 5 ^ {2}} = 0.0006495882891125344$$