Solve 35/11-23/8

$$\frac { 35 } { 11 } - \frac { 23 } { 8 }$$

Evaluate

$$\frac{27}{88}\approx 0.306818182$$

Solution Steps

Least common multiple of 11 and 8 is 88. Convert \frac{35}{11} and \frac{23}{8} to fractions with denominator 88.

$$\frac{280}{88}-\frac{253}{88}$$

Since \frac{280}{88} and \frac{253}{88} have the same denominator, subtract them by subtracting their numerators.

$$\frac{280-253}{88}$$

Subtract 253 from 280 to get 27.

$$\frac{27}{88}$$

Factor

$$\frac{3 ^ {3}}{2 ^ {3} \cdot 11} = 0.3068181818181818$$