Solve 25/7-23/8

$$\frac { 25 } { 7 } - \frac { 23 } { 8 }$$

Evaluate

$$\frac{39}{56}\approx 0.696428571$$

Solution Steps

Least common multiple of 7 and 8 is 56. Convert \frac{25}{7} and \frac{23}{8} to fractions with denominator 56.

$$\frac{200}{56}-\frac{161}{56}$$

Since \frac{200}{56} and \frac{161}{56} have the same denominator, subtract them by subtracting their numerators.

$$\frac{200-161}{56}$$

Subtract 161 from 200 to get 39.

$$\frac{39}{56}$$

Factor

$$\frac{3 \cdot 13}{2 ^ {3} \cdot 7} = 0.6964285714285714$$