Solve 1/1300+1/1000+1/1000

$$\frac { 1 } { 1300 } + \frac { 1 } { 1000 } + \frac { 1 } { 1000 }$$

Evaluate

$$\frac{9}{3250}\approx 0.002769231$$

Solution Steps

Least common multiple of 1300 and 1000 is 13000. Convert \frac{1}{1300} and \frac{1}{1000} to fractions with denominator 13000.

$$\frac{10}{13000}+\frac{13}{13000}+\frac{1}{1000}$$

Since \frac{10}{13000} and \frac{13}{13000} have the same denominator, add them by adding their numerators.

$$\frac{10+13}{13000}+\frac{1}{1000}$$

Add 10 and 13 to get 23.

$$\frac{23}{13000}+\frac{1}{1000}$$

Least common multiple of 13000 and 1000 is 13000. Convert \frac{23}{13000} and \frac{1}{1000} to fractions with denominator 13000.

$$\frac{23}{13000}+\frac{13}{13000}$$

Since \frac{23}{13000} and \frac{13}{13000} have the same denominator, add them by adding their numerators.

$$\frac{23+13}{13000}$$

Add 23 and 13 to get 36.

$$\frac{36}{13000}$$

Reduce the fraction \frac{36}{13000} to lowest terms by extracting and canceling out 4.

$$\frac{9}{3250}$$

Factor

$$\frac{3 ^ {2}}{2 \cdot 5 ^ {3} \cdot 13} = 0.002769230769230769$$