Solve 324-3/4-1/8=

$$324 - \frac { 3 } { 4 } - \frac { 1 } { 8 } =$$

Evaluate

$$\frac{2585}{8}=323.125$$

Solution Steps

Convert 324 to fraction \frac{1296}{4}.

$$\frac{1296}{4}-\frac{3}{4}-\frac{1}{8}$$

Since \frac{1296}{4} and \frac{3}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1296-3}{4}-\frac{1}{8}$$

Subtract 3 from 1296 to get 1293.

$$\frac{1293}{4}-\frac{1}{8}$$

Least common multiple of 4 and 8 is 8. Convert \frac{1293}{4} and \frac{1}{8} to fractions with denominator 8.

$$\frac{2586}{8}-\frac{1}{8}$$

Since \frac{2586}{8} and \frac{1}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2586-1}{8}$$

Subtract 1 from 2586 to get 2585.

$$\frac{2585}{8}$$

Factor

$$\frac{5 \cdot 11 \cdot 47}{2 ^ {3}} = 323\frac{1}{8} = 323.125$$