Solve 3/4-1/8-1/48

$$\frac { 3 } { 4 } - \frac { 1 } { 8 } - \frac { 1 } { 48 }$$

Evaluate

$$\frac{29}{48}\approx 0.604166667$$

Solution Steps

Least common multiple of 4 and 8 is 8. Convert \frac{3}{4} and \frac{1}{8} to fractions with denominator 8.

$$\frac{6}{8}-\frac{1}{8}-\frac{1}{48}$$

Since \frac{6}{8} and \frac{1}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6-1}{8}-\frac{1}{48}$$

Subtract 1 from 6 to get 5.

$$\frac{5}{8}-\frac{1}{48}$$

Least common multiple of 8 and 48 is 48. Convert \frac{5}{8} and \frac{1}{48} to fractions with denominator 48.

$$\frac{30}{48}-\frac{1}{48}$$

Since \frac{30}{48} and \frac{1}{48} have the same denominator, subtract them by subtracting their numerators.

$$\frac{30-1}{48}$$

Subtract 1 from 30 to get 29.

$$\frac{29}{48}$$

Factor

$$\frac{29}{2 ^ {4} \cdot 3} = 0.6041666666666666$$