Solve 4/9-1/16

$$\frac{ 4 }{ 9 } - \frac{ 1 }{ 16 }$$

Evaluate

$$\frac{55}{144}\approx 0.381944444$$

Solution Steps

Least common multiple of 9 and 16 is 144. Convert \frac{4}{9} and \frac{1}{16} to fractions with denominator 144.

$$\frac{64}{144}-\frac{9}{144}$$

Since \frac{64}{144} and \frac{9}{144} have the same denominator, subtract them by subtracting their numerators.

$$\frac{64-9}{144}$$

Subtract 9 from 64 to get 55.

$$\frac{55}{144}$$

Factor

$$\frac{5 \cdot 11}{2 ^ {4} \cdot 3 ^ {2}} = 0.3819444444444444$$