Solve 3*10^-2/1764*10^-5+27

$$\frac { 3 \times 10 ^ { - 2 } } { 1764 \times 10 ^ { - 5 } } + 27$$

Evaluate

$$\frac{4219}{147}\approx 28.700680272$$

Solution Steps

Cancel out 3 in both numerator and denominator.

$$\frac{10^{-2}}{588\times 10^{-5}}+27$$

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

$$\frac{10^{3}}{588}+27$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{1000}{588}+27$$

Reduce the fraction \frac{1000}{588} to lowest terms by extracting and canceling out 4.

$$\frac{250}{147}+27$$

Add \frac{250}{147} and 27 to get \frac{4219}{147}.

$$\frac{4219}{147}$$

Factor

$$\frac{4219}{3 \cdot 7 ^ {2}} = 28\frac{103}{147} = 28.700680272108844$$