Solve 100-((27.4420-29.6960/2.9889)*100)=

$$100-(( \frac{ 27.4420-29.6960 }{ 2.9889 } ) \times 100)=$$

Evaluate

$$\frac{5242900}{29889}\approx 175.412359062$$

Solution Steps

Subtract 29.696 from 27.442 to get -2.254.

$$100-\frac{-2.254}{2.9889}\times 100$$

Expand \frac{-2.254}{2.9889} by multiplying both numerator and the denominator by 10000.

$$100-\frac{-22540}{29889}\times 100$$

Fraction \frac{-22540}{29889} can be rewritten as -\frac{22540}{29889} by extracting the negative sign.

$$100-\left(-\frac{22540}{29889}\times 100\right)$$

Express -\frac{22540}{29889}\times 100 as a single fraction.

$$100-\frac{-22540\times 100}{29889}$$

Multiply -22540 and 100 to get -2254000.

$$100-\frac{-2254000}{29889}$$

Fraction \frac{-2254000}{29889} can be rewritten as -\frac{2254000}{29889} by extracting the negative sign.

$$100-\left(-\frac{2254000}{29889}\right)$$

The opposite of -\frac{2254000}{29889} is \frac{2254000}{29889}.

$$100+\frac{2254000}{29889}$$

Convert 100 to fraction \frac{2988900}{29889}.

$$\frac{2988900}{29889}+\frac{2254000}{29889}$$

Since \frac{2988900}{29889} and \frac{2254000}{29889} have the same denominator, add them by adding their numerators.

$$\frac{2988900+2254000}{29889}$$

Add 2988900 and 2254000 to get 5242900.

$$\frac{5242900}{29889}$$

Factor

$$\frac{13 \cdot 37 \cdot 109 \cdot 2 ^ {2} \cdot 5 ^ {2}}{41 \cdot 3 ^ {6}} = 175\frac{12325}{29889} = 175.41235906186222$$