Solve 13/8-31/64=

$$1 \frac { 3 } { 8 } - \frac { 31 } { 64 } =$$

Evaluate

$$\frac{57}{64}=0.890625$$

Solution Steps

Multiply 1 and 8 to get 8.

$$\frac{8+3}{8}-\frac{31}{64}$$

Add 8 and 3 to get 11.

$$\frac{11}{8}-\frac{31}{64}$$

Least common multiple of 8 and 64 is 64. Convert \frac{11}{8} and \frac{31}{64} to fractions with denominator 64.

$$\frac{88}{64}-\frac{31}{64}$$

Since \frac{88}{64} and \frac{31}{64} have the same denominator, subtract them by subtracting their numerators.

$$\frac{88-31}{64}$$

Subtract 31 from 88 to get 57.

$$\frac{57}{64}$$

Factor

$$\frac{3 \cdot 19}{2 ^ {6}} = 0.890625$$