Solve 1/16+1/9+1/144

$$\frac{ 1 }{ 16 } + \frac{ 1 }{ 9 } + \frac{ 1 }{ 144 }$$

Evaluate

$$\frac{13}{72}\approx 0.180555556$$

Solution Steps

Least common multiple of 16 and 9 is 144. Convert \frac{1}{16} and \frac{1}{9} to fractions with denominator 144.

$$\frac{9}{144}+\frac{16}{144}+\frac{1}{144}$$

Since \frac{9}{144} and \frac{16}{144} have the same denominator, add them by adding their numerators.

$$\frac{9+16}{144}+\frac{1}{144}$$

Add 9 and 16 to get 25.

$$\frac{25}{144}+\frac{1}{144}$$

Since \frac{25}{144} and \frac{1}{144} have the same denominator, add them by adding their numerators.

$$\frac{25+1}{144}$$

Add 25 and 1 to get 26.

$$\frac{26}{144}$$

Reduce the fraction \frac{26}{144} to lowest terms by extracting and canceling out 2.

$$\frac{13}{72}$$

Factor

$$\frac{13}{2 ^ {3} \cdot 3 ^ {2}} = 0.18055555555555555$$