Solve 11/8-7/9

$$\frac { 11 } { 8 } - \frac { 7 } { 9 }$$

Evaluate

$$\frac{43}{72}\approx 0.597222222$$

Solution Steps

Least common multiple of 8 and 9 is 72. Convert \frac{11}{8} and \frac{7}{9} to fractions with denominator 72.

$$\frac{99}{72}-\frac{56}{72}$$

Since \frac{99}{72} and \frac{56}{72} have the same denominator, subtract them by subtracting their numerators.

$$\frac{99-56}{72}$$

Subtract 56 from 99 to get 43.

$$\frac{43}{72}$$

Factor

$$\frac{43}{2 ^ {3} \cdot 3 ^ {2}} = 0.5972222222222222$$