Solve 1/frac{1{1400}+1/7900}

$$\frac { 1 } { \frac { 1 } { 1400 } + \frac { 1 } { 7900 } }$$

Evaluate

$$\frac{110600}{93}\approx 1189.247311828$$

Solution Steps

Least common multiple of 1400 and 7900 is 110600. Convert \frac{1}{1400} and \frac{1}{7900} to fractions with denominator 110600.

$$\frac{1}{\frac{79}{110600}+\frac{14}{110600}}$$

Since \frac{79}{110600} and \frac{14}{110600} have the same denominator, add them by adding their numerators.

$$\frac{1}{\frac{79+14}{110600}}$$

Add 79 and 14 to get 93.

$$\frac{1}{\frac{93}{110600}}$$

Divide 1 by \frac{93}{110600} by multiplying 1 by the reciprocal of \frac{93}{110600}.

$$1\times \frac{110600}{93}$$

Multiply 1 and \frac{110600}{93} to get \frac{110600}{93}.

$$\frac{110600}{93}$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {2} \cdot 7 \cdot 79}{3 \cdot 31} = 1189\frac{23}{93} = 1189.247311827957$$