Solve 6/7-3/8

$$\frac { 6 } { 7 } - \frac { 3 } { 8 }$$

Evaluate

$$\frac{27}{56}\approx 0.482142857$$

Solution Steps

Least common multiple of 7 and 8 is 56. Convert \frac{6}{7} and \frac{3}{8} to fractions with denominator 56.

$$\frac{48}{56}-\frac{21}{56}$$

Since \frac{48}{56} and \frac{21}{56} have the same denominator, subtract them by subtracting their numerators.

$$\frac{48-21}{56}$$

Subtract 21 from 48 to get 27.

$$\frac{27}{56}$$

Factor

$$\frac{3 ^ {3}}{2 ^ {3} \cdot 7} = 0.48214285714285715$$