Solve 3*10^8/102,4*10^6

$$\frac { 3 \cdot 10 ^ { 8 } } { 102,4 \cdot 10 ^ { 6 } }$$

Evaluate

$$2,9296875$$

Solution Steps

Cancel out 10^{6} in both numerator and denominator.

$$\frac{3\times 10^{2}}{102,4}$$

Calculate 10 to the power of 2 and get 100.

$$\frac{3\times 100}{102,4}$$

Multiply 3 and 100 to get 300.

$$\frac{300}{102,4}$$

Expand \frac{300}{102,4} by multiplying both numerator and the denominator by 10.

$$\frac{3000}{1024}$$

Reduce the fraction \frac{3000}{1024} to lowest terms by extracting and canceling out 8.

$$\frac{375}{128}$$

Factor

$$\frac{3 \cdot 5 ^ {3}}{2 ^ {7}} = 2\frac{119}{128} = 2.9296875$$