Solve 35/144+3/16

$$\frac{ 35 }{ 144 } + \frac{ 3 }{ 16 }$$

Evaluate

$$\frac{31}{72}\approx 0.430555556$$

Solution Steps

Least common multiple of 144 and 16 is 144. Convert \frac{35}{144} and \frac{3}{16} to fractions with denominator 144.

$$\frac{35}{144}+\frac{27}{144}$$

Since \frac{35}{144} and \frac{27}{144} have the same denominator, add them by adding their numerators.

$$\frac{35+27}{144}$$

Add 35 and 27 to get 62.

$$\frac{62}{144}$$

Reduce the fraction \frac{62}{144} to lowest terms by extracting and canceling out 2.

$$\frac{31}{72}$$

Factor

$$\frac{31}{2 ^ {3} \cdot 3 ^ {2}} = 0.4305555555555556$$