Solve 1+1/6-1/16

$$1 + \frac { 1 } { 6 } - \frac { 1 } { 16 }$$

Evaluate

$$\frac{53}{48}\approx 1.104166667$$

Solution Steps

Convert 1 to fraction \frac{6}{6}.

$$\frac{6}{6}+\frac{1}{6}-\frac{1}{16}$$

Since \frac{6}{6} and \frac{1}{6} have the same denominator, add them by adding their numerators.

$$\frac{6+1}{6}-\frac{1}{16}$$

Add 6 and 1 to get 7.

$$\frac{7}{6}-\frac{1}{16}$$

Least common multiple of 6 and 16 is 48. Convert \frac{7}{6} and \frac{1}{16} to fractions with denominator 48.

$$\frac{56}{48}-\frac{3}{48}$$

Since \frac{56}{48} and \frac{3}{48} have the same denominator, subtract them by subtracting their numerators.

$$\frac{56-3}{48}$$

Subtract 3 from 56 to get 53.

$$\frac{53}{48}$$

Factor

$$\frac{53}{2 ^ {4} \cdot 3} = 1\frac{5}{48} = 1.1041666666666667$$