Solve 1/frac{1{1200}+1/1200}=

$$\frac { 1 } { \frac { 1 } { 1200 } + \frac { 1 } { 1200 } } =$$

Evaluate

$$600$$

Solution Steps

Since \frac{1}{1200} and \frac{1}{1200} have the same denominator, add them by adding their numerators.

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

Add 1 and 1 to get 2.

$$\frac{1}{\frac{2}{1200}}$$

Reduce the fraction \frac{2}{1200} to lowest terms by extracting and canceling out 2.

$$\frac{1}{\frac{1}{600}}$$

Divide 1 by \frac{1}{600} by multiplying 1 by the reciprocal of \frac{1}{600}.

$$1\times 600$$

Multiply 1 and 600 to get 600.

$$600$$

Factor

$$2^{3}\times 3\times 5^{2}$$