Solve 1/frac{1{2200}+1/3300}

$$\frac{ 1 }{ \frac{ 1 }{ 2200 } + \frac{ 1 }{ 3300 } }$$

Evaluate

$$1320$$

Solution Steps

Least common multiple of 2200 and 3300 is 6600. Convert \frac{1}{2200} and \frac{1}{3300} to fractions with denominator 6600.

$$\frac{1}{\frac{3}{6600}+\frac{2}{6600}}$$

Since \frac{3}{6600} and \frac{2}{6600} have the same denominator, add them by adding their numerators.

$$\frac{1}{\frac{3+2}{6600}}$$

Add 3 and 2 to get 5.

$$\frac{1}{\frac{5}{6600}}$$

Reduce the fraction \frac{5}{6600} to lowest terms by extracting and canceling out 5.

$$\frac{1}{\frac{1}{1320}}$$

Divide 1 by \frac{1}{1320} by multiplying 1 by the reciprocal of \frac{1}{1320}.

$$1\times 1320$$

Multiply 1 and 1320 to get 1320.

$$1320$$

Factor

$$2^{3}\times 3\times 5\times 11$$