Solve 18/7-17/8

$$\frac { 18 } { 7 } - \frac { 17 } { 8 }$$

Evaluate

$$\frac{25}{56}\approx 0.446428571$$

Solution Steps

Least common multiple of 7 and 8 is 56. Convert \frac{18}{7} and \frac{17}{8} to fractions with denominator 56.

$$\frac{144}{56}-\frac{119}{56}$$

Since \frac{144}{56} and \frac{119}{56} have the same denominator, subtract them by subtracting their numerators.

$$\frac{144-119}{56}$$

Subtract 119 from 144 to get 25.

$$\frac{25}{56}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {3} \cdot 7} = 0.44642857142857145$$