Solve 3/2-1/64

$$\frac { 3 } { 2 } - \frac { 1 } { 64 }$$

Evaluate

$$\frac{95}{64}=1.484375$$

Solution Steps

Least common multiple of 2 and 64 is 64. Convert \frac{3}{2} and \frac{1}{64} to fractions with denominator 64.

$$\frac{96}{64}-\frac{1}{64}$$

Since \frac{96}{64} and \frac{1}{64} have the same denominator, subtract them by subtracting their numerators.

$$\frac{96-1}{64}$$

Subtract 1 from 96 to get 95.

$$\frac{95}{64}$$

Factor

$$\frac{5 \cdot 19}{2 ^ {6}} = 1\frac{31}{64} = 1.484375$$