Solve 12/14-1/8

$$\frac { 12 } { 14 } - \frac { 1 } { 8 }$$

Evaluate

$$\frac{41}{56}\approx 0.732142857$$

Solution Steps

Reduce the fraction \frac{12}{14} to lowest terms by extracting and canceling out 2.

$$\frac{6}{7}-\frac{1}{8}$$

Least common multiple of 7 and 8 is 56. Convert \frac{6}{7} and \frac{1}{8} to fractions with denominator 56.

$$\frac{48}{56}-\frac{7}{56}$$

Since \frac{48}{56} and \frac{7}{56} have the same denominator, subtract them by subtracting their numerators.

$$\frac{48-7}{56}$$

Subtract 7 from 48 to get 41.

$$\frac{41}{56}$$

Factor

$$\frac{41}{2 ^ {3} \cdot 7} = 0.7321428571428571$$