Solve 1/1600+1/4800

$$\frac{ 1 }{ 1600 } + \frac{ 1 }{ 4800 }$$

Evaluate

$$\frac{1}{1200}\approx 0.000833333$$

Solution Steps

Least common multiple of 1600 and 4800 is 4800. Convert \frac{1}{1600} and \frac{1}{4800} to fractions with denominator 4800.

$$\frac{3}{4800}+\frac{1}{4800}$$

Since \frac{3}{4800} and \frac{1}{4800} have the same denominator, add them by adding their numerators.

$$\frac{3+1}{4800}$$

Add 3 and 1 to get 4.

$$\frac{4}{4800}$$

Reduce the fraction \frac{4}{4800} to lowest terms by extracting and canceling out 4.

$$\frac{1}{1200}$$

Factor

$$\frac{1}{2 ^ {4} \cdot 3 \cdot 5 ^ {2}} = 0.0008333333333333334$$