Solve 101/64-4/32

$$\frac { 101 } { 64 } - \frac { 4 } { 32 }$$

Evaluate

$$\frac{93}{64}=1.453125$$

Solution Steps

Reduce the fraction \frac{4}{32} to lowest terms by extracting and canceling out 4.

$$\frac{101}{64}-\frac{1}{8}$$

Least common multiple of 64 and 8 is 64. Convert \frac{101}{64} and \frac{1}{8} to fractions with denominator 64.

$$\frac{101}{64}-\frac{8}{64}$$

Since \frac{101}{64} and \frac{8}{64} have the same denominator, subtract them by subtracting their numerators.

$$\frac{101-8}{64}$$

Subtract 8 from 101 to get 93.

$$\frac{93}{64}$$

Factor

$$\frac{3 \cdot 31}{2 ^ {6}} = 1\frac{29}{64} = 1.453125$$