Solve 1/frac{1{63}+1/72}=

$$\frac{ 1 }{ \frac{ 1 }{ 63 } + \frac{ 1 }{ 72 } } =$$

Evaluate

$$\frac{168}{5}=33.6$$

Solution Steps

Least common multiple of 63 and 72 is 504. Convert \frac{1}{63} and \frac{1}{72} to fractions with denominator 504.

$$\frac{1}{\frac{8}{504}+\frac{7}{504}}$$

Since \frac{8}{504} and \frac{7}{504} have the same denominator, add them by adding their numerators.

$$\frac{1}{\frac{8+7}{504}}$$

Add 8 and 7 to get 15.

$$\frac{1}{\frac{15}{504}}$$

Reduce the fraction \frac{15}{504} to lowest terms by extracting and canceling out 3.

$$\frac{1}{\frac{5}{168}}$$

Divide 1 by \frac{5}{168} by multiplying 1 by the reciprocal of \frac{5}{168}.

$$1\times \frac{168}{5}$$

Multiply 1 and \frac{168}{5} to get \frac{168}{5}.

$$\frac{168}{5}$$

Factor

$$\frac{2 ^ {3} \cdot 3 \cdot 7}{5} = 33\frac{3}{5} = 33.6$$