Solve 3*10^-2/17.64*10^-5+27

$$\frac { 3 \times 10 ^ { - 2 } } { 17.64 \times 10 ^ { - 5 } } + 27$$

Evaluate

$$\frac{28969}{147}\approx 197.068027211$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{3\times 10^{3}}{17.64}+27$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{3\times 1000}{17.64}+27$$

Multiply 3 and 1000 to get 3000.

$$\frac{3000}{17.64}+27$$

Expand \frac{3000}{17.64} by multiplying both numerator and the denominator by 100.

$$\frac{300000}{1764}+27$$

Reduce the fraction \frac{300000}{1764} to lowest terms by extracting and canceling out 12.

$$\frac{25000}{147}+27$$

Add \frac{25000}{147} and 27 to get \frac{28969}{147}.

$$\frac{28969}{147}$$

Factor

$$\frac{59 \cdot 491}{3 \cdot 7 ^ {2}} = 197\frac{10}{147} = 197.06802721088437$$